# HG changeset patch # User blanchet # Date 1272119581 -7200 # Node ID ff5f88702590cabf8c47f474e02301abd9a81fc5 # Parent 76d5fd5a45fbfa0acc54ef261076fadadfefb29f remove type annotations as comments; Nitpick is now 1136 lines shorter diff -r 76d5fd5a45fb -r ff5f88702590 src/HOL/Tools/Nitpick/kodkod.ML --- a/src/HOL/Tools/Nitpick/kodkod.ML Sat Apr 24 16:17:30 2010 +0200 +++ b/src/HOL/Tools/Nitpick/kodkod.ML Sat Apr 24 16:33:01 2010 +0200 @@ -321,7 +321,6 @@ (** Auxiliary functions on ML representation of Kodkod problems **) -(* 'a fold_expr_funcs -> formula -> 'a -> 'a *) fun fold_formula (F : 'a fold_expr_funcs) formula = case formula of All (ds, f) => fold (fold_decl F) ds #> fold_formula F f @@ -354,7 +353,6 @@ | False => #formula_func F formula | True => #formula_func F formula | FormulaReg _ => #formula_func F formula -(* 'a fold_expr_funcs -> rel_expr -> 'a -> 'a *) and fold_rel_expr F rel_expr = case rel_expr of RelLet (bs, r) => fold (fold_expr_assign F) bs #> fold_rel_expr F r @@ -383,7 +381,6 @@ | Rel _ => #rel_expr_func F rel_expr | Var _ => #rel_expr_func F rel_expr | RelReg _ => #rel_expr_func F rel_expr -(* 'a fold_expr_funcs -> int_expr -> 'a -> 'a *) and fold_int_expr F int_expr = case int_expr of Sum (ds, i) => fold (fold_decl F) ds #> fold_int_expr F i @@ -409,7 +406,6 @@ | Signum i => fold_int_expr F i | Num _ => #int_expr_func F int_expr | IntReg _ => #int_expr_func F int_expr -(* 'a fold_expr_funcs -> decl -> 'a -> 'a *) and fold_decl F decl = case decl of DeclNo (x, r) => fold_rel_expr F (Var x) #> fold_rel_expr F r @@ -417,7 +413,6 @@ | DeclOne (x, r) => fold_rel_expr F (Var x) #> fold_rel_expr F r | DeclSome (x, r) => fold_rel_expr F (Var x) #> fold_rel_expr F r | DeclSet (x, r) => fold_rel_expr F (Var x) #> fold_rel_expr F r -(* 'a fold_expr_funcs -> expr_assign -> 'a -> 'a *) and fold_expr_assign F assign = case assign of AssignFormulaReg (x, f) => fold_formula F (FormulaReg x) #> fold_formula F f @@ -429,9 +424,7 @@ tuple_set_func: tuple_set -> 'a -> 'a } -(* 'a fold_tuple_funcs -> tuple -> 'a -> 'a *) fun fold_tuple (F : 'a fold_tuple_funcs) = #tuple_func F -(* 'a fold_tuple_funcs -> tuple_set -> 'a -> 'a *) fun fold_tuple_set F tuple_set = case tuple_set of TupleUnion (ts1, ts2) => fold_tuple_set F ts1 #> fold_tuple_set F ts2 @@ -444,23 +437,18 @@ | TupleArea (t1, t2) => fold_tuple F t1 #> fold_tuple F t2 | TupleAtomSeq _ => #tuple_set_func F tuple_set | TupleSetReg _ => #tuple_set_func F tuple_set -(* 'a fold_tuple_funcs -> tuple_assign -> 'a -> 'a *) fun fold_tuple_assign F assign = case assign of AssignTuple (x, t) => fold_tuple F (TupleReg x) #> fold_tuple F t | AssignTupleSet (x, ts) => fold_tuple_set F (TupleSetReg x) #> fold_tuple_set F ts -(* 'a fold_expr_funcs -> 'a fold_tuple_funcs -> bound -> 'a -> 'a *) fun fold_bound expr_F tuple_F (zs, tss) = fold (fold_rel_expr expr_F) (map (Rel o fst) zs) #> fold (fold_tuple_set tuple_F) tss -(* 'a fold_tuple_funcs -> int_bound -> 'a -> 'a *) fun fold_int_bound F (_, tss) = fold (fold_tuple_set F) tss -(* int -> int *) fun max_arity univ_card = floor (Math.ln 2147483647.0 / Math.ln (Real.fromInt univ_card)) -(* rel_expr -> int *) fun arity_of_rel_expr (RelLet (_, r)) = arity_of_rel_expr r | arity_of_rel_expr (RelIf (_, r1, _)) = arity_of_rel_expr r1 | arity_of_rel_expr (Union (r1, _)) = arity_of_rel_expr r1 @@ -487,23 +475,18 @@ | arity_of_rel_expr (Rel (n, _)) = n | arity_of_rel_expr (Var (n, _)) = n | arity_of_rel_expr (RelReg (n, _)) = n -(* rel_expr -> rel_expr -> int *) and sum_arities_of_rel_exprs r1 r2 = arity_of_rel_expr r1 + arity_of_rel_expr r2 -(* decl -> int *) and arity_of_decl (DeclNo ((n, _), _)) = n | arity_of_decl (DeclLone ((n, _), _)) = n | arity_of_decl (DeclOne ((n, _), _)) = n | arity_of_decl (DeclSome ((n, _), _)) = n | arity_of_decl (DeclSet ((n, _), _)) = n -(* problem -> bool *) fun is_problem_trivially_false ({formula = False, ...} : problem) = true | is_problem_trivially_false _ = false -(* string -> string list *) val chop_solver = take 2 o space_explode "," -(* setting list * setting list -> bool *) fun settings_equivalent ([], []) = true | settings_equivalent ((key1, value1) :: settings1, (key2, value2) :: settings2) = @@ -513,7 +496,6 @@ settings_equivalent (settings1, settings2) | settings_equivalent _ = false -(* problem * problem -> bool *) fun problems_equivalent (p1 : problem, p2 : problem) = #univ_card p1 = #univ_card p2 andalso #formula p1 = #formula p2 andalso @@ -525,16 +507,13 @@ (** Serialization of problem **) -(* int -> string *) fun base_name j = if j < 0 then string_of_int (~j - 1) ^ "'" else string_of_int j -(* n_ary_index -> string -> string -> string -> string *) fun n_ary_name (1, j) prefix _ _ = prefix ^ base_name j | n_ary_name (2, j) _ prefix _ = prefix ^ base_name j | n_ary_name (n, j) _ _ prefix = prefix ^ string_of_int n ^ "_" ^ base_name j -(* int -> string *) fun atom_name j = "A" ^ base_name j fun atom_seq_name (k, 0) = "u" ^ base_name k | atom_seq_name (k, j0) = "u" ^ base_name k ^ "@" ^ base_name j0 @@ -542,14 +521,12 @@ fun rel_reg_name j = "$e" ^ base_name j fun int_reg_name j = "$i" ^ base_name j -(* n_ary_index -> string *) fun tuple_name x = n_ary_name x "A" "P" "T" fun rel_name x = n_ary_name x "s" "r" "m" fun var_name x = n_ary_name x "S" "R" "M" fun tuple_reg_name x = n_ary_name x "$A" "$P" "$T" fun tuple_set_reg_name x = n_ary_name x "$a" "$p" "$t" -(* string -> string *) fun inline_comment "" = "" | inline_comment comment = " /* " ^ translate_string (fn "\n" => " " | "*" => "* " | s => s) comment ^ @@ -557,10 +534,8 @@ fun block_comment "" = "" | block_comment comment = prefix_lines "// " comment ^ "\n" -(* (n_ary_index * string) -> string *) fun commented_rel_name (x, s) = rel_name x ^ inline_comment s -(* tuple -> string *) fun string_for_tuple (Tuple js) = "[" ^ commas (map atom_name js) ^ "]" | string_for_tuple (TupleIndex x) = tuple_name x | string_for_tuple (TupleReg x) = tuple_reg_name x @@ -571,7 +546,6 @@ val prec_TupleProduct = 3 val prec_TupleProject = 4 -(* tuple_set -> int *) fun precedence_ts (TupleUnion _) = prec_TupleUnion | precedence_ts (TupleDifference _) = prec_TupleUnion | precedence_ts (TupleIntersect _) = prec_TupleIntersect @@ -579,10 +553,8 @@ | precedence_ts (TupleProject _) = prec_TupleProject | precedence_ts _ = no_prec -(* tuple_set -> string *) fun string_for_tuple_set tuple_set = let - (* tuple_set -> int -> string *) fun sub tuple_set outer_prec = let val prec = precedence_ts tuple_set @@ -608,19 +580,16 @@ end in sub tuple_set 0 end -(* tuple_assign -> string *) fun string_for_tuple_assign (AssignTuple (x, t)) = tuple_reg_name x ^ " := " ^ string_for_tuple t ^ "\n" | string_for_tuple_assign (AssignTupleSet (x, ts)) = tuple_set_reg_name x ^ " := " ^ string_for_tuple_set ts ^ "\n" -(* bound -> string *) fun string_for_bound (zs, tss) = "bounds " ^ commas (map commented_rel_name zs) ^ ": " ^ (if length tss = 1 then "" else "[") ^ commas (map string_for_tuple_set tss) ^ (if length tss = 1 then "" else "]") ^ "\n" -(* int_bound -> string *) fun int_string_for_bound (opt_n, tss) = (case opt_n of SOME n => signed_string_of_int n ^ ": " @@ -645,7 +614,6 @@ val prec_Join = 18 val prec_BitNot = 19 -(* formula -> int *) fun precedence_f (All _) = prec_All | precedence_f (Exist _) = prec_All | precedence_f (FormulaLet _) = prec_All @@ -671,7 +639,6 @@ | precedence_f False = no_prec | precedence_f True = no_prec | precedence_f (FormulaReg _) = no_prec -(* rel_expr -> int *) and precedence_r (RelLet _) = prec_All | precedence_r (RelIf _) = prec_All | precedence_r (Union _) = prec_Add @@ -697,7 +664,6 @@ | precedence_r (Rel _) = no_prec | precedence_r (Var _) = no_prec | precedence_r (RelReg _) = no_prec -(* int_expr -> int *) and precedence_i (Sum _) = prec_All | precedence_i (IntLet _) = prec_All | precedence_i (IntIf _) = prec_All @@ -721,14 +687,11 @@ | precedence_i (Num _) = no_prec | precedence_i (IntReg _) = no_prec -(* (string -> unit) -> problem list -> unit *) fun write_problem_file out problems = let - (* formula -> unit *) fun out_outmost_f (And (f1, f2)) = (out_outmost_f f1; out "\n && "; out_outmost_f f2) | out_outmost_f f = out_f f prec_And - (* formula -> int -> unit *) and out_f formula outer_prec = let val prec = precedence_f formula @@ -773,7 +736,6 @@ | FormulaReg j => out (formula_reg_name j)); (if need_parens then out ")" else ()) end - (* rel_expr -> int -> unit *) and out_r rel_expr outer_prec = let val prec = precedence_r rel_expr @@ -813,7 +775,6 @@ | RelReg (_, j) => out (rel_reg_name j)); (if need_parens then out ")" else ()) end - (* int_expr -> int -> unit *) and out_i int_expr outer_prec = let val prec = precedence_i int_expr @@ -848,11 +809,9 @@ | IntReg j => out (int_reg_name j)); (if need_parens then out ")" else ()) end - (* decl list -> unit *) and out_decls [] = () | out_decls [d] = out_decl d | out_decls (d :: ds) = (out_decl d; out ", "; out_decls ds) - (* decl -> unit *) and out_decl (DeclNo (x, r)) = (out (var_name x); out " : no "; out_r r 0) | out_decl (DeclLone (x, r)) = @@ -863,22 +822,18 @@ (out (var_name x); out " : some "; out_r r 0) | out_decl (DeclSet (x, r)) = (out (var_name x); out " : set "; out_r r 0) - (* assign_expr list -> unit *) and out_assigns [] = () | out_assigns [b] = out_assign b | out_assigns (b :: bs) = (out_assign b; out ", "; out_assigns bs) - (* assign_expr -> unit *) and out_assign (AssignFormulaReg (j, f)) = (out (formula_reg_name j); out " := "; out_f f 0) | out_assign (AssignRelReg ((_, j), r)) = (out (rel_reg_name j); out " := "; out_r r 0) | out_assign (AssignIntReg (j, i)) = (out (int_reg_name j); out " := "; out_i i 0) - (* int_expr list -> unit *) and out_columns [] = () | out_columns [i] = out_i i 0 | out_columns (i :: is) = (out_i i 0; out ", "; out_columns is) - (* problem -> unit *) and out_problem {comment, settings, univ_card, tuple_assigns, bounds, int_bounds, expr_assigns, formula} = (out ("\n" ^ block_comment comment ^ @@ -902,12 +857,10 @@ (** Parsing of solution **) -(* string -> bool *) fun is_ident_char s = Symbol.is_ascii_letter s orelse Symbol.is_ascii_digit s orelse s = "_" orelse s = "'" orelse s = "$" -(* string list -> string list *) fun strip_blanks [] = [] | strip_blanks (" " :: ss) = strip_blanks ss | strip_blanks [s1, " "] = [s1] @@ -918,29 +871,20 @@ strip_blanks (s1 :: s2 :: ss) | strip_blanks (s :: ss) = s :: strip_blanks ss -(* (string list -> 'a * string list) -> string list -> 'a list * string list *) fun scan_non_empty_list scan = scan ::: Scan.repeat ($$ "," |-- scan) fun scan_list scan = scan_non_empty_list scan || Scan.succeed [] -(* string list -> int * string list *) val scan_nat = Scan.repeat1 (Scan.one Symbol.is_ascii_digit) >> (the o Int.fromString o space_implode "") -(* string list -> (int * int) * string list *) val scan_rel_name = $$ "s" |-- scan_nat >> pair 1 || $$ "r" |-- scan_nat >> pair 2 || ($$ "m" |-- scan_nat --| $$ "_") -- scan_nat -(* string list -> int * string list *) val scan_atom = $$ "A" |-- scan_nat -(* string list -> int list * string list *) val scan_tuple = $$ "[" |-- scan_list scan_atom --| $$ "]" -(* string list -> int list list * string list *) val scan_tuple_set = $$ "[" |-- scan_list scan_tuple --| $$ "]" -(* string list -> ((int * int) * int list list) * string list *) val scan_assignment = (scan_rel_name --| $$ "=") -- scan_tuple_set -(* string list -> ((int * int) * int list list) list * string list *) val scan_instance = Scan.this_string "relations:" |-- $$ "{" |-- scan_list scan_assignment --| $$ "}" -(* string -> raw_bound list *) val parse_instance = fst o Scan.finite Symbol.stopper (Scan.error (!! (fn _ => @@ -953,12 +897,10 @@ val outcome_marker = "---OUTCOME---\n" val instance_marker = "---INSTANCE---\n" -(* string -> substring -> string *) fun read_section_body marker = Substring.string o fst o Substring.position "\n\n" o Substring.triml (size marker) -(* substring -> raw_bound list *) fun read_next_instance s = let val s = Substring.position instance_marker s |> snd in if Substring.isEmpty s then @@ -967,8 +909,6 @@ read_section_body instance_marker s |> parse_instance end -(* int -> substring * (int * raw_bound list) list * int list - -> substring * (int * raw_bound list) list * int list *) fun read_next_outcomes j (s, ps, js) = let val (s1, s2) = Substring.position outcome_marker s in if Substring.isEmpty s2 orelse @@ -990,8 +930,6 @@ end end -(* substring * (int * raw_bound list) list * int list - -> (int * raw_bound list) list * int list *) fun read_next_problems (s, ps, js) = let val s = Substring.position problem_marker s |> snd in if Substring.isEmpty s then @@ -1007,7 +945,6 @@ handle Option.Option => raise SYNTAX ("Kodkod.read_next_problems", "expected number after \"PROBLEM\"") -(* Path.T -> bool * ((int * raw_bound list) list * int list) *) fun read_output_file path = (false, read_next_problems (Substring.full (File.read path), [], []) |>> rev ||> rev) @@ -1017,7 +954,6 @@ val created_temp_dir = Unsynchronized.ref false -(* bool -> string * string *) fun serial_string_and_temporary_dir_for_overlord overlord = if overlord then ("", getenv "ISABELLE_HOME_USER") @@ -1032,14 +968,12 @@ is partly due to the JVM and partly due to the ML "bash" function. *) val fudge_ms = 250 -(* Time.time option -> int *) fun milliseconds_until_deadline deadline = case deadline of NONE => ~1 | SOME time => Int.max (0, Time.toMilliseconds (Time.- (time, Time.now ())) - fudge_ms) -(* bool -> Time.time option -> int -> int -> problem list -> outcome *) fun uncached_solve_any_problem overlord deadline max_threads max_solutions problems = let @@ -1051,7 +985,6 @@ (0 upto length problems - 1 ~~ problems) val triv_js = filter_out (AList.defined (op =) indexed_problems) (0 upto length problems - 1) - (* int -> int *) val reindex = fst o nth indexed_problems in if null indexed_problems then @@ -1060,18 +993,15 @@ let val (serial_str, temp_dir) = serial_string_and_temporary_dir_for_overlord overlord - (* string -> Path.T *) fun path_for suf = Path.explode (temp_dir ^ "/kodkodi" ^ serial_str ^ "." ^ suf) val in_path = path_for "kki" val in_buf = Unsynchronized.ref Buffer.empty - (* string -> unit *) fun out s = Unsynchronized.change in_buf (Buffer.add s) val out_path = path_for "out" val err_path = path_for "err" val _ = write_problem_file out (map snd indexed_problems) val _ = File.write_buffer in_path (!in_buf) - (* unit -> unit *) fun remove_temporary_files () = if overlord then () else List.app (K () o try File.rm) [in_path, out_path, err_path] @@ -1150,10 +1080,8 @@ Synchronized.var "Kodkod.cached_outcome" (NONE : ((int * problem list) * outcome) option) -(* bool -> Time.time option -> int -> int -> problem list -> outcome *) fun solve_any_problem overlord deadline max_threads max_solutions problems = let - (* unit -> outcome *) fun do_solve () = uncached_solve_any_problem overlord deadline max_threads max_solutions problems in diff -r 76d5fd5a45fb -r ff5f88702590 src/HOL/Tools/Nitpick/kodkod_sat.ML --- a/src/HOL/Tools/Nitpick/kodkod_sat.ML Sat Apr 24 16:17:30 2010 +0200 +++ b/src/HOL/Tools/Nitpick/kodkod_sat.ML Sat Apr 24 16:33:01 2010 +0200 @@ -51,8 +51,6 @@ ("HaifaSat", ExternalV2 (ToStdout, "HAIFASAT_HOME", "HaifaSat", ["-p", "1"], "s SATISFIABLE", "v ", "s UNSATISFIABLE"))] -(* string -> sink -> string -> string -> string list -> string list - -> (string * (unit -> string list)) option *) fun dynamic_entry_for_external name dev home exec args markers = case getenv home of "" => NONE @@ -74,8 +72,6 @@ if dev = ToFile then out_file else ""] @ markers @ (if dev = ToFile then [out_file] else []) @ args end) -(* bool -> bool -> string * sat_solver_info - -> (string * (unit -> string list)) option *) fun dynamic_entry_for_info incremental (name, Internal (Java, mode, ss)) = if incremental andalso mode = Batch then NONE else SOME (name, K ss) | dynamic_entry_for_info incremental (name, Internal (JNI, mode, ss)) = @@ -98,20 +94,15 @@ (name, ExternalV2 (dev, home, exec, args, m1, m2, m3)) = dynamic_entry_for_external name dev home exec args [m1, m2, m3] | dynamic_entry_for_info true _ = NONE -(* bool -> (string * (unit -> string list)) list *) fun dynamic_list incremental = map_filter (dynamic_entry_for_info incremental) static_list -(* bool -> string list *) val configured_sat_solvers = map fst o dynamic_list -(* bool -> string *) val smart_sat_solver_name = fst o hd o dynamic_list -(* string -> string * string list *) fun sat_solver_spec name = let val dyn_list = dynamic_list false - (* (string * 'a) list -> string *) fun enum_solvers solvers = commas (distinct (op =) (map (quote o fst) solvers)) in diff -r 76d5fd5a45fb -r ff5f88702590 src/HOL/Tools/Nitpick/minipick.ML --- a/src/HOL/Tools/Nitpick/minipick.ML Sat Apr 24 16:17:30 2010 +0200 +++ b/src/HOL/Tools/Nitpick/minipick.ML Sat Apr 24 16:33:01 2010 +0200 @@ -35,7 +35,6 @@ datatype rep = SRep | RRep -(* Proof.context -> typ -> unit *) fun check_type ctxt (Type (@{type_name fun}, Ts)) = List.app (check_type ctxt) Ts | check_type ctxt (Type (@{type_name "*"}, Ts)) = @@ -46,7 +45,6 @@ | check_type ctxt T = raise NOT_SUPPORTED ("type " ^ quote (Syntax.string_of_typ ctxt T)) -(* rep -> (typ -> int) -> typ -> int list *) fun atom_schema_of SRep card (Type (@{type_name fun}, [T1, T2])) = replicate_list (card T1) (atom_schema_of SRep card T2) | atom_schema_of RRep card (Type (@{type_name fun}, [T1, @{typ bool}])) = @@ -56,42 +54,32 @@ | atom_schema_of _ card (Type (@{type_name "*"}, Ts)) = maps (atom_schema_of SRep card) Ts | atom_schema_of _ card T = [card T] -(* rep -> (typ -> int) -> typ -> int *) val arity_of = length ooo atom_schema_of -(* (typ -> int) -> typ list -> int -> int *) fun index_for_bound_var _ [_] 0 = 0 | index_for_bound_var card (_ :: Ts) 0 = index_for_bound_var card Ts 0 + arity_of SRep card (hd Ts) | index_for_bound_var card Ts n = index_for_bound_var card (tl Ts) (n - 1) -(* (typ -> int) -> rep -> typ list -> int -> rel_expr list *) fun vars_for_bound_var card R Ts j = map (curry Var 1) (index_seq (index_for_bound_var card Ts j) (arity_of R card (nth Ts j))) -(* (typ -> int) -> rep -> typ list -> int -> rel_expr *) val rel_expr_for_bound_var = foldl1 Product oooo vars_for_bound_var -(* rep -> (typ -> int) -> typ list -> typ -> decl list *) fun decls_for R card Ts T = map2 (curry DeclOne o pair 1) (index_seq (index_for_bound_var card (T :: Ts) 0) (arity_of R card (nth (T :: Ts) 0))) (map (AtomSeq o rpair 0) (atom_schema_of R card T)) -(* int list -> rel_expr *) val atom_product = foldl1 Product o map Atom val false_atom = Atom 0 val true_atom = Atom 1 -(* rel_expr -> formula *) fun formula_from_atom r = RelEq (r, true_atom) -(* formula -> rel_expr *) fun atom_from_formula f = RelIf (f, true_atom, false_atom) -(* Proof.context -> (typ -> int) -> styp list -> term -> formula *) fun kodkod_formula_from_term ctxt card frees = let - (* typ -> rel_expr -> rel_expr *) fun R_rep_from_S_rep (T as Type (@{type_name fun}, [T1, @{typ bool}])) r = let val jss = atom_schema_of SRep card T1 |> map (rpair 0) @@ -117,13 +105,11 @@ |> foldl1 Union end | R_rep_from_S_rep _ r = r - (* typ list -> typ -> rel_expr -> rel_expr *) fun S_rep_from_R_rep Ts (T as Type (@{type_name fun}, _)) r = Comprehension (decls_for SRep card Ts T, RelEq (R_rep_from_S_rep T (rel_expr_for_bound_var card SRep (T :: Ts) 0), r)) | S_rep_from_R_rep _ _ r = r - (* typ list -> term -> formula *) fun to_F Ts t = (case t of @{const Not} $ t1 => Not (to_F Ts t1) @@ -154,28 +140,26 @@ | Const (s, _) => raise NOT_SUPPORTED ("constant " ^ quote s) | _ => raise TERM ("Minipick.kodkod_formula_from_term.to_F", [t])) handle SAME () => formula_from_atom (to_R_rep Ts t) - (* typ list -> term -> rel_expr *) and to_S_rep Ts t = - case t of - Const (@{const_name Pair}, _) $ t1 $ t2 => - Product (to_S_rep Ts t1, to_S_rep Ts t2) - | Const (@{const_name Pair}, _) $ _ => to_S_rep Ts (eta_expand Ts t 1) - | Const (@{const_name Pair}, _) => to_S_rep Ts (eta_expand Ts t 2) - | Const (@{const_name fst}, _) $ t1 => - let val fst_arity = arity_of SRep card (fastype_of1 (Ts, t)) in - Project (to_S_rep Ts t1, num_seq 0 fst_arity) - end - | Const (@{const_name fst}, _) => to_S_rep Ts (eta_expand Ts t 1) - | Const (@{const_name snd}, _) $ t1 => - let - val pair_arity = arity_of SRep card (fastype_of1 (Ts, t1)) - val snd_arity = arity_of SRep card (fastype_of1 (Ts, t)) - val fst_arity = pair_arity - snd_arity - in Project (to_S_rep Ts t1, num_seq fst_arity snd_arity) end - | Const (@{const_name snd}, _) => to_S_rep Ts (eta_expand Ts t 1) - | Bound j => rel_expr_for_bound_var card SRep Ts j - | _ => S_rep_from_R_rep Ts (fastype_of1 (Ts, t)) (to_R_rep Ts t) - (* term -> rel_expr *) + case t of + Const (@{const_name Pair}, _) $ t1 $ t2 => + Product (to_S_rep Ts t1, to_S_rep Ts t2) + | Const (@{const_name Pair}, _) $ _ => to_S_rep Ts (eta_expand Ts t 1) + | Const (@{const_name Pair}, _) => to_S_rep Ts (eta_expand Ts t 2) + | Const (@{const_name fst}, _) $ t1 => + let val fst_arity = arity_of SRep card (fastype_of1 (Ts, t)) in + Project (to_S_rep Ts t1, num_seq 0 fst_arity) + end + | Const (@{const_name fst}, _) => to_S_rep Ts (eta_expand Ts t 1) + | Const (@{const_name snd}, _) $ t1 => + let + val pair_arity = arity_of SRep card (fastype_of1 (Ts, t1)) + val snd_arity = arity_of SRep card (fastype_of1 (Ts, t)) + val fst_arity = pair_arity - snd_arity + in Project (to_S_rep Ts t1, num_seq fst_arity snd_arity) end + | Const (@{const_name snd}, _) => to_S_rep Ts (eta_expand Ts t 1) + | Bound j => rel_expr_for_bound_var card SRep Ts j + | _ => S_rep_from_R_rep Ts (fastype_of1 (Ts, t)) (to_R_rep Ts t) and to_R_rep Ts t = (case t of @{const Not} => to_R_rep Ts (eta_expand Ts t 1) @@ -282,7 +266,6 @@ handle SAME () => R_rep_from_S_rep (fastype_of1 (Ts, t)) (to_S_rep Ts t) in to_F [] end -(* (typ -> int) -> int -> styp -> bound *) fun bound_for_free card i (s, T) = let val js = atom_schema_of RRep card T in ([((length js, i), s)], @@ -290,7 +273,6 @@ |> tuple_set_from_atom_schema]) end -(* (typ -> int) -> typ list -> typ -> rel_expr -> formula *) fun declarative_axiom_for_rel_expr card Ts (Type (@{type_name fun}, [T1, T2])) r = if body_type T2 = bool_T then @@ -300,15 +282,12 @@ declarative_axiom_for_rel_expr card (T1 :: Ts) T2 (List.foldl Join r (vars_for_bound_var card SRep (T1 :: Ts) 0))) | declarative_axiom_for_rel_expr _ _ _ r = One r -(* (typ -> int) -> bool -> int -> styp -> formula *) fun declarative_axiom_for_free card i (_, T) = declarative_axiom_for_rel_expr card [] T (Rel (arity_of RRep card T, i)) -(* Proof.context -> (typ -> int) -> term -> problem *) fun kodkod_problem_from_term ctxt raw_card t = let val thy = ProofContext.theory_of ctxt - (* typ -> int *) fun card (Type (@{type_name fun}, [T1, T2])) = reasonable_power (card T2) (card T1) | card (Type (@{type_name "*"}, [T1, T2])) = card T1 * card T2 @@ -328,7 +307,6 @@ bounds = bounds, int_bounds = [], expr_assigns = [], formula = formula} end -(* theory -> problem list -> string *) fun solve_any_kodkod_problem thy problems = let val {overlord, ...} = Nitpick_Isar.default_params thy [] diff -r 76d5fd5a45fb -r ff5f88702590 src/HOL/Tools/Nitpick/nitpick.ML --- a/src/HOL/Tools/Nitpick/nitpick.ML Sat Apr 24 16:17:30 2010 +0200 +++ b/src/HOL/Tools/Nitpick/nitpick.ML Sat Apr 24 16:33:01 2010 +0200 @@ -141,7 +141,6 @@ type rich_problem = KK.problem * problem_extension -(* Proof.context -> string -> term list -> Pretty.T list *) fun pretties_for_formulas _ _ [] = [] | pretties_for_formulas ctxt s ts = [Pretty.str (s ^ plural_s_for_list ts ^ ":"), @@ -152,10 +151,8 @@ Pretty.str (if j = 1 then "." else ";")]) (length ts downto 1) ts))] -(* unit -> string *) fun install_java_message () = "Nitpick requires a Java 1.5 virtual machine called \"java\"." -(* unit -> string *) fun install_kodkodi_message () = "Nitpick requires the external Java program Kodkodi. To install it, download \ \the package from Isabelle's web page and add the \"kodkodi-x.y.z\" \ @@ -167,35 +164,27 @@ val max_unsound_delay_ms = 200 val max_unsound_delay_percent = 2 -(* Time.time option -> int *) fun unsound_delay_for_timeout NONE = max_unsound_delay_ms | unsound_delay_for_timeout (SOME timeout) = Int.max (0, Int.min (max_unsound_delay_ms, Time.toMilliseconds timeout * max_unsound_delay_percent div 100)) -(* Time.time option -> bool *) fun passed_deadline NONE = false | passed_deadline (SOME time) = Time.compare (Time.now (), time) <> LESS -(* ('a * bool option) list -> bool *) fun none_true assigns = forall (not_equal (SOME true) o snd) assigns val syntactic_sorts = @{sort "{default,zero,one,plus,minus,uminus,times,inverse,abs,sgn,ord,eq}"} @ @{sort number} -(* typ -> bool *) fun has_tfree_syntactic_sort (TFree (_, S as _ :: _)) = subset (op =) (S, syntactic_sorts) | has_tfree_syntactic_sort _ = false -(* term -> bool *) val has_syntactic_sorts = exists_type (exists_subtype has_tfree_syntactic_sort) -(* (unit -> string) -> Pretty.T *) fun plazy f = Pretty.blk (0, pstrs (f ())) -(* Time.time -> Proof.state -> params -> bool -> int -> int -> int - -> (term * term) list -> term list -> term -> string * Proof.state *) fun pick_them_nits_in_term deadline state (params : params) auto i n step subst orig_assm_ts orig_t = let @@ -218,7 +207,6 @@ check_genuine, batch_size, ...} = params val state_ref = Unsynchronized.ref state - (* Pretty.T -> unit *) val pprint = if auto then Unsynchronized.change state_ref o Proof.goal_message o K @@ -227,22 +215,17 @@ else (fn s => (priority s; if debug then tracing s else ())) o Pretty.string_of - (* (unit -> Pretty.T) -> unit *) fun pprint_m f = () |> not auto ? pprint o f fun pprint_v f = () |> verbose ? pprint o f fun pprint_d f = () |> debug ? pprint o f - (* string -> unit *) val print = pprint o curry Pretty.blk 0 o pstrs val print_g = pprint o Pretty.str - (* (unit -> string) -> unit *) val print_m = pprint_m o K o plazy val print_v = pprint_v o K o plazy - (* unit -> unit *) fun check_deadline () = if debug andalso passed_deadline deadline then raise TimeLimit.TimeOut else () - (* unit -> 'a *) fun do_interrupted () = if passed_deadline deadline then raise TimeLimit.TimeOut else raise Interrupt @@ -307,7 +290,6 @@ val got_all_user_axioms = got_all_mono_user_axioms andalso no_poly_user_axioms - (* styp * (bool * bool) -> unit *) fun print_wf (x, (gfp, wf)) = pprint (Pretty.blk (0, pstrs ("The " ^ (if gfp then "co" else "") ^ "inductive predicate \"") @@ -344,7 +326,6 @@ *) val unique_scope = forall (curry (op =) 1 o length o snd) cards_assigns - (* typ list -> string -> string *) fun monotonicity_message Ts extra = let val ss = map (quote o string_for_type ctxt) Ts in "The type" ^ plural_s_for_list ss ^ " " ^ @@ -355,7 +336,6 @@ (if length ss = 1 then "is" else "are") ^ " considered monotonic") ^ ". " ^ extra end - (* typ -> bool *) fun is_type_fundamentally_monotonic T = (is_datatype thy stds T andalso not (is_quot_type thy T) andalso (not (is_pure_typedef thy T) orelse is_univ_typedef thy T)) orelse @@ -416,7 +396,6 @@ () (* This detection code is an ugly hack. Fortunately, it is used only to provide a hint to the user. *) - (* string * (Rule_Cases.T * bool) -> bool *) fun is_struct_induct_step (name, (Rule_Cases.Case {fixes, assumes, ...}, _)) = not (null fixes) andalso exists (String.isSuffix ".hyps" o fst) assumes andalso @@ -464,7 +443,6 @@ val too_big_scopes = Unsynchronized.ref [] - (* bool -> scope -> rich_problem option *) fun problem_for_scope unsound (scope as {card_assigns, bits, bisim_depth, datatypes, ofs, ...}) = let @@ -480,7 +458,6 @@ (Typtab.dest ofs) *) val all_exact = forall (is_exact_type datatypes true) all_Ts - (* nut list -> rep NameTable.table -> nut list * rep NameTable.table *) val repify_consts = choose_reps_for_consts scope all_exact val main_j0 = offset_of_type ofs bool_T val (nat_card, nat_j0) = spec_of_type scope nat_T @@ -604,15 +581,12 @@ val checked_problems = Unsynchronized.ref (SOME []) val met_potential = Unsynchronized.ref 0 - (* rich_problem list -> int list -> unit *) fun update_checked_problems problems = List.app (Unsynchronized.change checked_problems o Option.map o cons o nth problems) - (* string -> unit *) fun show_kodkod_warning "" = () | show_kodkod_warning s = print_m (fn () => "Kodkod warning: " ^ s ^ ".") - (* bool -> KK.raw_bound list -> problem_extension -> bool * bool option *) fun print_and_check_model genuine bounds ({free_names, sel_names, nonsel_names, rel_table, scope, ...} : problem_extension) = @@ -719,14 +693,11 @@ NONE) |> pair genuine_means_genuine end - (* bool * int * int * int -> bool -> rich_problem list - -> bool * int * int * int *) fun solve_any_problem (found_really_genuine, max_potential, max_genuine, donno) first_time problems = let val max_potential = Int.max (0, max_potential) val max_genuine = Int.max (0, max_genuine) - (* bool -> int * KK.raw_bound list -> bool * bool option *) fun print_and_check genuine (j, bounds) = print_and_check_model genuine bounds (snd (nth problems j)) val max_solutions = max_potential + max_genuine @@ -826,8 +797,6 @@ (found_really_genuine, max_potential, max_genuine, donno + 1)) end - (* int -> int -> scope list -> bool * int * int * int - -> bool * int * int * int *) fun run_batch j n scopes (found_really_genuine, max_potential, max_genuine, donno) = let @@ -855,8 +824,6 @@ (length scopes downto 1) scopes))]) else () - (* scope * bool -> rich_problem list * bool - -> rich_problem list * bool *) fun add_problem_for_scope (scope, unsound) (problems, donno) = (check_deadline (); case problem_for_scope unsound scope of @@ -902,13 +869,10 @@ donno) true (rev problems) end - (* rich_problem list -> scope -> int *) fun scope_count (problems : rich_problem list) scope = length (filter (curry scopes_equivalent scope o #scope o snd) problems) - (* string -> string *) fun excipit did_so_and_so = let - (* rich_problem list -> rich_problem list *) val do_filter = if !met_potential = max_potential then filter_out (#unsound o snd) else I @@ -930,7 +894,6 @@ "") ^ "." end - (* int -> int -> scope list -> bool * int * int * int -> KK.outcome *) fun run_batches _ _ [] (found_really_genuine, max_potential, max_genuine, donno) = if donno > 0 andalso max_genuine > 0 then @@ -996,8 +959,6 @@ else error "Nitpick was interrupted." -(* Proof.state -> params -> bool -> int -> int -> int -> (term * term) list - -> term list -> term -> string * Proof.state *) fun pick_nits_in_term state (params as {debug, timeout, expect, ...}) auto i n step subst orig_assm_ts orig_t = if getenv "KODKODI" = "" then @@ -1016,12 +977,10 @@ else error ("Unexpected outcome: " ^ quote outcome_code ^ ".") end -(* string list -> term -> bool *) fun is_fixed_equation fixes (Const (@{const_name "=="}, _) $ Free (s, _) $ Const _) = member (op =) fixes s | is_fixed_equation _ _ = false -(* Proof.context -> term list * term -> (term * term) list * term list * term *) fun extract_fixed_frees ctxt (assms, t) = let val fixes = Variable.fixes_of ctxt |> map snd @@ -1030,7 +989,6 @@ |>> map Logic.dest_equals in (subst, other_assms, subst_atomic subst t) end -(* Proof.state -> params -> bool -> int -> int -> string * Proof.state *) fun pick_nits_in_subgoal state params auto i step = let val ctxt = Proof.context_of state diff -r 76d5fd5a45fb -r ff5f88702590 src/HOL/Tools/Nitpick/nitpick_hol.ML --- a/src/HOL/Tools/Nitpick/nitpick_hol.ML Sat Apr 24 16:17:30 2010 +0200 +++ b/src/HOL/Tools/Nitpick/nitpick_hol.ML Sat Apr 24 16:33:01 2010 +0200 @@ -293,31 +293,24 @@ (** Constant/type information and term/type manipulation **) -(* int -> string *) fun sel_prefix_for j = sel_prefix ^ string_of_int j ^ name_sep -(* Proof.context -> typ -> string *) fun quot_normal_name_for_type ctxt T = quot_normal_prefix ^ unyxml (Syntax.string_of_typ ctxt T) -(* string -> string * string *) val strip_first_name_sep = Substring.full #> Substring.position name_sep ##> Substring.triml 1 #> pairself Substring.string -(* string -> string *) fun original_name s = if String.isPrefix nitpick_prefix s then case strip_first_name_sep s of (s1, "") => s1 | (_, s2) => original_name s2 else s -(* term * term -> term *) fun s_betapply (Const (@{const_name If}, _) $ @{const True} $ t, _) = t | s_betapply (Const (@{const_name If}, _) $ @{const False} $ _, t) = t | s_betapply p = betapply p -(* term * term list -> term *) val s_betapplys = Library.foldl s_betapply -(* term * term -> term *) fun s_conj (t1, @{const True}) = t1 | s_conj (@{const True}, t2) = t2 | s_conj (t1, t2) = @@ -329,18 +322,15 @@ if t1 = @{const True} orelse t2 = @{const True} then @{const True} else HOLogic.mk_disj (t1, t2) -(* term -> term -> term list *) fun strip_connective conn_t (t as (t0 $ t1 $ t2)) = if t0 = conn_t then strip_connective t0 t2 @ strip_connective t0 t1 else [t] | strip_connective _ t = [t] -(* term -> term list * term *) fun strip_any_connective (t as (t0 $ _ $ _)) = if t0 = @{const "op &"} orelse t0 = @{const "op |"} then (strip_connective t0 t, t0) else ([t], @{const Not}) | strip_any_connective t = ([t], @{const Not}) -(* term -> term list *) val conjuncts_of = strip_connective @{const "op &"} val disjuncts_of = strip_connective @{const "op |"} @@ -415,7 +405,6 @@ (@{const_name minus_class.minus}, 2), (@{const_name ord_class.less_eq}, 2)] -(* typ -> typ *) fun unarize_type @{typ "unsigned_bit word"} = nat_T | unarize_type @{typ "signed_bit word"} = int_T | unarize_type (Type (s, Ts as _ :: _)) = Type (s, map unarize_type Ts) @@ -436,44 +425,33 @@ | uniterize_type T = T val uniterize_unarize_unbox_etc_type = uniterize_type o unarize_unbox_etc_type -(* Proof.context -> typ -> string *) fun string_for_type ctxt = Syntax.string_of_typ ctxt o unarize_unbox_etc_type -(* string -> string -> string *) val prefix_name = Long_Name.qualify o Long_Name.base_name -(* string -> string *) fun shortest_name s = List.last (space_explode "." s) handle List.Empty => "" -(* string -> term -> term *) val prefix_abs_vars = Term.map_abs_vars o prefix_name -(* string -> string *) fun short_name s = case space_explode name_sep s of [_] => s |> String.isPrefix nitpick_prefix s ? unprefix nitpick_prefix | ss => map shortest_name ss |> space_implode "_" -(* typ -> typ *) fun shorten_names_in_type (Type (s, Ts)) = Type (short_name s, map shorten_names_in_type Ts) | shorten_names_in_type T = T -(* term -> term *) val shorten_names_in_term = map_aterms (fn Const (s, T) => Const (short_name s, T) | t => t) #> map_types shorten_names_in_type -(* theory -> typ * typ -> bool *) fun strict_type_match thy (T1, T2) = (Sign.typ_match thy (T2, T1) Vartab.empty; true) handle Type.TYPE_MATCH => false fun type_match thy = strict_type_match thy o pairself unarize_unbox_etc_type -(* theory -> styp * styp -> bool *) fun const_match thy ((s1, T1), (s2, T2)) = s1 = s2 andalso type_match thy (T1, T2) -(* theory -> term * term -> bool *) fun term_match thy (Const x1, Const x2) = const_match thy (x1, x2) | term_match thy (Free (s1, T1), Free (s2, T2)) = const_match thy ((shortest_name s1, T1), (shortest_name s2, T2)) | term_match _ (t1, t2) = t1 aconv t2 -(* typ -> term -> term -> term *) fun frac_from_term_pair T t1 t2 = case snd (HOLogic.dest_number t1) of 0 => HOLogic.mk_number T 0 @@ -482,7 +460,6 @@ | n2 => Const (@{const_name divide}, T --> T --> T) $ HOLogic.mk_number T n1 $ HOLogic.mk_number T n2 -(* typ -> bool *) fun is_TFree (TFree _) = true | is_TFree _ = false fun is_higher_order_type (Type (@{type_name fun}, _)) = true @@ -508,50 +485,41 @@ | is_word_type _ = false val is_integer_like_type = is_iterator_type orf is_integer_type orf is_word_type val is_record_type = not o null o Record.dest_recTs -(* theory -> typ -> bool *) fun is_frac_type thy (Type (s, [])) = not (null (these (AList.lookup (op =) (#frac_types (Data.get thy)) s))) | is_frac_type _ _ = false fun is_number_type thy = is_integer_like_type orf is_frac_type thy -(* bool -> styp -> typ *) fun iterator_type_for_const gfp (s, T) = Type ((if gfp then gfp_iterator_prefix else lfp_iterator_prefix) ^ s, binder_types T) -(* typ -> styp *) fun const_for_iterator_type (Type (s, Ts)) = (strip_first_name_sep s |> snd, Ts ---> bool_T) | const_for_iterator_type T = raise TYPE ("Nitpick_HOL.const_for_iterator_type", [T], []) -(* int -> typ -> typ list * typ *) fun strip_n_binders 0 T = ([], T) | strip_n_binders n (Type (@{type_name fun}, [T1, T2])) = strip_n_binders (n - 1) T2 |>> cons T1 | strip_n_binders n (Type (@{type_name fun_box}, Ts)) = strip_n_binders n (Type (@{type_name fun}, Ts)) | strip_n_binders _ T = raise TYPE ("Nitpick_HOL.strip_n_binders", [T], []) -(* typ -> typ *) val nth_range_type = snd oo strip_n_binders -(* typ -> int *) fun num_factors_in_type (Type (@{type_name "*"}, [T1, T2])) = fold (Integer.add o num_factors_in_type) [T1, T2] 0 | num_factors_in_type _ = 1 fun num_binder_types (Type (@{type_name fun}, [_, T2])) = 1 + num_binder_types T2 | num_binder_types _ = 0 -(* typ -> typ list *) val curried_binder_types = maps HOLogic.flatten_tupleT o binder_types fun maybe_curried_binder_types T = (if is_pair_type (body_type T) then binder_types else curried_binder_types) T -(* typ -> term list -> term *) fun mk_flat_tuple _ [t] = t | mk_flat_tuple (Type (@{type_name "*"}, [T1, T2])) (t :: ts) = HOLogic.pair_const T1 T2 $ t $ (mk_flat_tuple T2 ts) | mk_flat_tuple T ts = raise TYPE ("Nitpick_HOL.mk_flat_tuple", [T], ts) -(* int -> term -> term list *) fun dest_n_tuple 1 t = [t] | dest_n_tuple n t = HOLogic.dest_prod t ||> dest_n_tuple (n - 1) |> op :: @@ -560,7 +528,6 @@ set_def: thm option, prop_of_Rep: thm, set_name: string, Abs_inverse: thm option, Rep_inverse: thm option} -(* theory -> string -> typedef_info *) fun typedef_info thy s = if is_frac_type thy (Type (s, [])) then SOME {abs_type = Type (s, []), rep_type = @{typ "int * int"}, @@ -578,21 +545,17 @@ Rep_inverse = SOME Rep_inverse} | _ => NONE -(* theory -> string -> bool *) val is_typedef = is_some oo typedef_info val is_real_datatype = is_some oo Datatype.get_info -(* theory -> (typ option * bool) list -> typ -> bool *) fun is_standard_datatype thy = the oo triple_lookup (type_match thy) (* FIXME: Use antiquotation for "code_numeral" below or detect "rep_datatype", e.g., by adding a field to "Datatype_Aux.info". *) -(* theory -> (typ option * bool) list -> string -> bool *) fun is_basic_datatype thy stds s = member (op =) [@{type_name "*"}, @{type_name bool}, @{type_name unit}, @{type_name int}, "Code_Numeral.code_numeral"] s orelse (s = @{type_name nat} andalso is_standard_datatype thy stds nat_T) -(* theory -> typ -> typ -> typ -> typ *) fun instantiate_type thy T1 T1' T2 = Same.commit (Envir.subst_type_same (Sign.typ_match thy (T1, T1') Vartab.empty)) T2 @@ -601,20 +564,16 @@ fun varify_and_instantiate_type thy T1 T1' T2 = instantiate_type thy (Logic.varifyT_global T1) T1' (Logic.varifyT_global T2) -(* theory -> typ -> typ -> styp *) fun repair_constr_type thy body_T' T = varify_and_instantiate_type thy (body_type T) body_T' T -(* string -> (string * string) list -> theory -> theory *) fun register_frac_type frac_s ersaetze thy = let val {frac_types, codatatypes} = Data.get thy val frac_types = AList.update (op =) (frac_s, ersaetze) frac_types in Data.put {frac_types = frac_types, codatatypes = codatatypes} thy end -(* string -> theory -> theory *) fun unregister_frac_type frac_s = register_frac_type frac_s [] -(* typ -> string -> styp list -> theory -> theory *) fun register_codatatype co_T case_name constr_xs thy = let val {frac_types, codatatypes} = Data.get thy @@ -630,10 +589,8 @@ val codatatypes = AList.update (op =) (co_s, (case_name, constr_xs)) codatatypes in Data.put {frac_types = frac_types, codatatypes = codatatypes} thy end -(* typ -> theory -> theory *) fun unregister_codatatype co_T = register_codatatype co_T "" [] -(* theory -> typ -> bool *) fun is_quot_type thy (Type (s, _)) = is_some (Quotient_Info.quotdata_lookup_raw thy s) | is_quot_type _ _ = false @@ -670,32 +627,26 @@ end | NONE => false) | is_univ_typedef _ _ = false -(* theory -> (typ option * bool) list -> typ -> bool *) fun is_datatype thy stds (T as Type (s, _)) = (is_typedef thy s orelse is_codatatype thy T orelse T = @{typ ind} orelse is_quot_type thy T) andalso not (is_basic_datatype thy stds s) | is_datatype _ _ _ = false -(* theory -> typ -> (string * typ) list * (string * typ) *) fun all_record_fields thy T = let val (recs, more) = Record.get_extT_fields thy T in recs @ more :: all_record_fields thy (snd more) end handle TYPE _ => [] -(* styp -> bool *) fun is_record_constr (s, T) = String.isSuffix Record.extN s andalso let val dataT = body_type T in is_record_type dataT andalso s = unsuffix Record.ext_typeN (fst (dest_Type dataT)) ^ Record.extN end -(* theory -> typ -> int *) val num_record_fields = Integer.add 1 o length o fst oo Record.get_extT_fields -(* theory -> string -> typ -> int *) fun no_of_record_field thy s T1 = find_index (curry (op =) s o fst) (Record.get_extT_fields thy T1 ||> single |> op @) -(* theory -> styp -> bool *) fun is_record_get thy (s, Type (@{type_name fun}, [T1, _])) = exists (curry (op =) s o fst) (all_record_fields thy T1) | is_record_get _ _ = false @@ -714,7 +665,6 @@ SOME {Rep_name, ...} => s = Rep_name | NONE => false) | is_rep_fun _ _ = false -(* Proof.context -> styp -> bool *) fun is_quot_abs_fun ctxt (x as (_, Type (@{type_name fun}, [_, Type (s', _)]))) = (try (Quotient_Term.absrep_const_chk Quotient_Term.AbsF ctxt) s' @@ -726,19 +676,16 @@ = SOME (Const x)) | is_quot_rep_fun _ _ = false -(* theory -> styp -> styp *) fun mate_of_rep_fun thy (x as (_, Type (@{type_name fun}, [T1 as Type (s', _), T2]))) = (case typedef_info thy s' of SOME {Abs_name, ...} => (Abs_name, Type (@{type_name fun}, [T2, T1])) | NONE => raise TERM ("Nitpick_HOL.mate_of_rep_fun", [Const x])) | mate_of_rep_fun _ x = raise TERM ("Nitpick_HOL.mate_of_rep_fun", [Const x]) -(* theory -> typ -> typ *) fun rep_type_for_quot_type thy (T as Type (s, _)) = let val {qtyp, rtyp, ...} = Quotient_Info.quotdata_lookup thy s in instantiate_type thy qtyp T rtyp end -(* theory -> typ -> term *) fun equiv_relation_for_quot_type thy (Type (s, Ts)) = let val {qtyp, equiv_rel, ...} = Quotient_Info.quotdata_lookup thy s @@ -747,7 +694,6 @@ | equiv_relation_for_quot_type _ T = raise TYPE ("Nitpick_HOL.equiv_relation_for_quot_type", [T], []) -(* theory -> styp -> bool *) fun is_coconstr thy (s, T) = let val {codatatypes, ...} = Data.get thy @@ -770,19 +716,16 @@ fun is_stale_constr thy (x as (_, T)) = is_codatatype thy (body_type T) andalso is_constr_like thy x andalso not (is_coconstr thy x) -(* theory -> (typ option * bool) list -> styp -> bool *) fun is_constr thy stds (x as (_, T)) = is_constr_like thy x andalso not (is_basic_datatype thy stds (fst (dest_Type (unarize_type (body_type T))))) andalso not (is_stale_constr thy x) -(* string -> bool *) val is_sel = String.isPrefix discr_prefix orf String.isPrefix sel_prefix val is_sel_like_and_no_discr = String.isPrefix sel_prefix orf (member (op =) [@{const_name fst}, @{const_name snd}]) -(* boxability -> boxability *) fun in_fun_lhs_for InConstr = InSel | in_fun_lhs_for _ = InFunLHS fun in_fun_rhs_for InConstr = InConstr @@ -790,7 +733,6 @@ | in_fun_rhs_for InFunRHS1 = InFunRHS2 | in_fun_rhs_for _ = InFunRHS1 -(* hol_context -> boxability -> typ -> bool *) fun is_boxing_worth_it (hol_ctxt : hol_context) boxy T = case T of Type (@{type_name fun}, _) => @@ -802,12 +744,10 @@ exists (is_boxing_worth_it hol_ctxt InPair) (map (box_type hol_ctxt InPair) Ts)) | _ => false -(* hol_context -> boxability -> string * typ list -> string *) and should_box_type (hol_ctxt as {thy, boxes, ...}) boxy z = case triple_lookup (type_match thy) boxes (Type z) of SOME (SOME box_me) => box_me | _ => is_boxing_worth_it hol_ctxt boxy (Type z) -(* hol_context -> boxability -> typ -> typ *) and box_type hol_ctxt boxy T = case T of Type (z as (@{type_name fun}, [T1, T2])) => @@ -829,37 +769,29 @@ else InPair)) Ts) | _ => T -(* typ -> typ *) fun binarize_nat_and_int_in_type @{typ nat} = @{typ "unsigned_bit word"} | binarize_nat_and_int_in_type @{typ int} = @{typ "signed_bit word"} | binarize_nat_and_int_in_type (Type (s, Ts)) = Type (s, map binarize_nat_and_int_in_type Ts) | binarize_nat_and_int_in_type T = T -(* term -> term *) val binarize_nat_and_int_in_term = map_types binarize_nat_and_int_in_type -(* styp -> styp *) fun discr_for_constr (s, T) = (discr_prefix ^ s, body_type T --> bool_T) -(* typ -> int *) fun num_sels_for_constr_type T = length (maybe_curried_binder_types T) -(* string -> int -> string *) fun nth_sel_name_for_constr_name s n = if s = @{const_name Pair} then if n = 0 then @{const_name fst} else @{const_name snd} else sel_prefix_for n ^ s -(* styp -> int -> styp *) fun nth_sel_for_constr x ~1 = discr_for_constr x | nth_sel_for_constr (s, T) n = (nth_sel_name_for_constr_name s n, body_type T --> nth (maybe_curried_binder_types T) n) -(* hol_context -> bool -> styp -> int -> styp *) fun binarized_and_boxed_nth_sel_for_constr hol_ctxt binarize = apsnd ((binarize ? binarize_nat_and_int_in_type) o box_type hol_ctxt InSel) oo nth_sel_for_constr -(* string -> int *) fun sel_no_from_name s = if String.isPrefix discr_prefix s then ~1 @@ -870,15 +802,12 @@ else 0 -(* term -> term *) val close_form = let - (* (indexname * typ) list -> (indexname * typ) list -> term -> term *) fun close_up zs zs' = fold (fn (z as ((s, _), T)) => fn t' => Term.all T $ Abs (s, T, abstract_over (Var z, t'))) (take (length zs' - length zs) zs') - (* (indexname * typ) list -> term -> term *) fun aux zs (@{const "==>"} $ t1 $ t2) = let val zs' = Term.add_vars t1 zs in close_up zs zs' (Logic.mk_implies (t1, aux zs' t2)) @@ -886,7 +815,6 @@ | aux zs t = close_up zs (Term.add_vars t zs) t in aux [] end -(* typ list -> term -> int -> term *) fun eta_expand _ t 0 = t | eta_expand Ts (Abs (s, T, t')) n = Abs (s, T, eta_expand (T :: Ts) t' (n - 1)) @@ -895,7 +823,6 @@ (List.take (binder_types (fastype_of1 (Ts, t)), n)) (list_comb (incr_boundvars n t, map Bound (n - 1 downto 0))) -(* term -> term *) fun extensionalize t = case t of (t0 as @{const Trueprop}) $ t1 => t0 $ extensionalize t1 @@ -905,17 +832,14 @@ end | _ => t -(* typ -> term list -> term *) fun distinctness_formula T = all_distinct_unordered_pairs_of #> map (fn (t1, t2) => @{const Not} $ (HOLogic.eq_const T $ t1 $ t2)) #> List.foldr (s_conj o swap) @{const True} -(* typ -> term *) fun zero_const T = Const (@{const_name zero_class.zero}, T) fun suc_const T = Const (@{const_name Suc}, T --> T) -(* hol_context -> typ -> styp list *) fun uncached_datatype_constrs ({thy, stds, ...} : hol_context) (T as Type (s, Ts)) = (case AList.lookup (op =) (#codatatypes (Data.get thy)) s of @@ -952,7 +876,6 @@ else []) | uncached_datatype_constrs _ _ = [] -(* hol_context -> typ -> styp list *) fun datatype_constrs (hol_ctxt as {constr_cache, ...}) T = case AList.lookup (op =) (!constr_cache) T of SOME xs => xs @@ -960,18 +883,14 @@ let val xs = uncached_datatype_constrs hol_ctxt T in (Unsynchronized.change constr_cache (cons (T, xs)); xs) end -(* hol_context -> bool -> typ -> styp list *) fun binarized_and_boxed_datatype_constrs hol_ctxt binarize = map (apsnd ((binarize ? binarize_nat_and_int_in_type) o box_type hol_ctxt InConstr)) o datatype_constrs hol_ctxt -(* hol_context -> typ -> int *) val num_datatype_constrs = length oo datatype_constrs -(* string -> string *) fun constr_name_for_sel_like @{const_name fst} = @{const_name Pair} | constr_name_for_sel_like @{const_name snd} = @{const_name Pair} | constr_name_for_sel_like s' = original_name s' -(* hol_context -> bool -> styp -> styp *) fun binarized_and_boxed_constr_for_sel hol_ctxt binarize (s', T') = let val s = constr_name_for_sel_like s' in AList.lookup (op =) @@ -980,7 +899,6 @@ |> the |> pair s end -(* hol_context -> styp -> term *) fun discr_term_for_constr hol_ctxt (x as (s, T)) = let val dataT = body_type T in if s = @{const_name Suc} then @@ -991,7 +909,6 @@ else Abs (Name.uu, dataT, @{const True}) end -(* hol_context -> styp -> term -> term *) fun discriminate_value (hol_ctxt as {thy, ...}) x t = case head_of t of Const x' => @@ -1000,7 +917,6 @@ else betapply (discr_term_for_constr hol_ctxt x, t) | _ => betapply (discr_term_for_constr hol_ctxt x, t) -(* theory -> (typ option * bool) list -> styp -> term -> term *) fun nth_arg_sel_term_for_constr thy stds (x as (s, T)) n = let val (arg_Ts, dataT) = strip_type T in if dataT = nat_T andalso is_standard_datatype thy stds nat_T then @@ -1009,7 +925,6 @@ Const (nth_sel_for_constr x n) else let - (* int -> typ -> int * term *) fun aux m (Type (@{type_name "*"}, [T1, T2])) = let val (m, t1) = aux m T1 @@ -1022,7 +937,6 @@ (List.take (arg_Ts, n)) 0 in Abs ("x", dataT, aux m (nth arg_Ts n) |> snd) end end -(* theory -> (typ option * bool) list -> styp -> term -> int -> typ -> term *) fun select_nth_constr_arg thy stds x t n res_T = (case strip_comb t of (Const x', args) => @@ -1032,7 +946,6 @@ | _ => raise SAME()) handle SAME () => betapply (nth_arg_sel_term_for_constr thy stds x n, t) -(* theory -> (typ option * bool) list -> styp -> term list -> term *) fun construct_value _ _ x [] = Const x | construct_value thy stds (x as (s, _)) args = let val args = map Envir.eta_contract args in @@ -1049,7 +962,6 @@ | _ => list_comb (Const x, args) end -(* hol_context -> typ -> term -> term *) fun constr_expand (hol_ctxt as {thy, stds, ...}) T t = (case head_of t of Const x => if is_constr_like thy x then t else raise SAME () @@ -1069,17 +981,14 @@ (index_seq 0 (length arg_Ts)) arg_Ts) end -(* (term -> term) -> int -> term -> term *) fun coerce_bound_no f j t = case t of t1 $ t2 => coerce_bound_no f j t1 $ coerce_bound_no f j t2 | Abs (s, T, t') => Abs (s, T, coerce_bound_no f (j + 1) t') | Bound j' => if j' = j then f t else t | _ => t -(* hol_context -> typ -> typ -> term -> term *) fun coerce_bound_0_in_term hol_ctxt new_T old_T = old_T <> new_T ? coerce_bound_no (coerce_term hol_ctxt [new_T] old_T new_T) 0 -(* hol_context -> typ list -> typ -> typ -> term -> term *) and coerce_term (hol_ctxt as {thy, stds, fast_descrs, ...}) Ts new_T old_T t = if old_T = new_T then t @@ -1124,7 +1033,6 @@ raise TYPE ("Nitpick_HOL.coerce_term", [new_T, old_T], [t]) | _ => raise TYPE ("Nitpick_HOL.coerce_term", [new_T, old_T], [t]) -(* (typ * int) list -> typ -> int *) fun card_of_type assigns (Type (@{type_name fun}, [T1, T2])) = reasonable_power (card_of_type assigns T2) (card_of_type assigns T1) | card_of_type assigns (Type (@{type_name "*"}, [T1, T2])) = @@ -1138,7 +1046,6 @@ SOME k => k | NONE => if T = @{typ bisim_iterator} then 0 else raise TYPE ("Nitpick_HOL.card_of_type", [T], []) -(* int -> (typ * int) list -> typ -> int *) fun bounded_card_of_type max default_card assigns (Type (@{type_name fun}, [T1, T2])) = let @@ -1161,11 +1068,9 @@ card_of_type assigns T handle TYPE ("Nitpick_HOL.card_of_type", _, _) => default_card) -(* hol_context -> typ list -> int -> (typ * int) list -> typ -> int *) fun bounded_exact_card_of_type hol_ctxt finitizable_dataTs max default_card assigns T = let - (* typ list -> typ -> int *) fun aux avoid T = (if member (op =) avoid T then 0 @@ -1214,47 +1119,36 @@ val small_type_max_card = 5 -(* hol_context -> typ -> bool *) fun is_finite_type hol_ctxt T = bounded_exact_card_of_type hol_ctxt [] 1 2 [] T > 0 -(* hol_context -> typ -> bool *) fun is_small_finite_type hol_ctxt T = let val n = bounded_exact_card_of_type hol_ctxt [] 1 2 [] T in n > 0 andalso n <= small_type_max_card end -(* term -> bool *) fun is_ground_term (t1 $ t2) = is_ground_term t1 andalso is_ground_term t2 | is_ground_term (Const _) = true | is_ground_term _ = false -(* term -> word -> word *) fun hashw_term (t1 $ t2) = hashw (hashw_term t1, hashw_term t2) | hashw_term (Const (s, _)) = hashw_string (s, 0w0) | hashw_term _ = 0w0 -(* term -> int *) val hash_term = Word.toInt o hashw_term -(* term list -> (indexname * typ) list *) fun special_bounds ts = fold Term.add_vars ts [] |> sort (Term_Ord.fast_indexname_ord o pairself fst) -(* indexname * typ -> term -> term *) fun abs_var ((s, j), T) body = Abs (s, T, abstract_over (Var ((s, j), T), body)) -(* theory -> string -> bool *) fun is_funky_typedef_name thy s = member (op =) [@{type_name unit}, @{type_name "*"}, @{type_name "+"}, @{type_name int}] s orelse is_frac_type thy (Type (s, [])) -(* theory -> typ -> bool *) fun is_funky_typedef thy (Type (s, _)) = is_funky_typedef_name thy s | is_funky_typedef _ _ = false -(* term -> bool *) fun is_arity_type_axiom (Const (@{const_name HOL.type_class}, _) $ Const (@{const_name TYPE}, _)) = true | is_arity_type_axiom _ = false -(* theory -> bool -> term -> bool *) fun is_typedef_axiom thy boring (@{const "==>"} $ _ $ t2) = is_typedef_axiom thy boring t2 | is_typedef_axiom thy boring @@ -1263,7 +1157,6 @@ $ Const _ $ _)) = boring <> is_funky_typedef_name thy s andalso is_typedef thy s | is_typedef_axiom _ _ _ = false -(* term -> bool *) val is_class_axiom = Logic.strip_horn #> swap #> op :: #> forall (can Logic.dest_of_class) @@ -1271,7 +1164,6 @@ typedef axioms, and (3) other axioms, and returns the pair ((1), (3)). Typedef axioms are uninteresting to Nitpick, because it can retrieve them using "typedef_info". *) -(* theory -> (string * term) list -> string list -> term list * term list *) fun partition_axioms_by_definitionality thy axioms def_names = let val axioms = sort (fast_string_ord o pairself fst) axioms @@ -1284,15 +1176,12 @@ (* Ideally we would check against "Complex_Main", not "Refute", but any theory will do as long as it contains all the "axioms" and "axiomatization" commands. *) -(* theory -> bool *) fun is_built_in_theory thy = Theory.subthy (thy, @{theory Refute}) -(* term -> bool *) val is_trivial_definition = the_default false o try (op aconv o Logic.dest_equals) val is_plain_definition = let - (* term -> bool *) fun do_lhs t1 = case strip_comb t1 of (Const _, args) => @@ -1304,10 +1193,8 @@ | do_eq _ = false in do_eq end -(* theory -> (term * term) list -> term list * term list * term list *) fun all_axioms_of thy subst = let - (* theory list -> term list *) val axioms_of_thys = maps Thm.axioms_of #> map (apsnd (subst_atomic subst o prop_of)) @@ -1336,7 +1223,6 @@ user_defs @ built_in_defs in (defs, built_in_nondefs, user_nondefs) end -(* theory -> (typ option * bool) list -> bool -> styp -> int option *) fun arity_of_built_in_const thy stds fast_descrs (s, T) = if s = @{const_name If} then if nth_range_type 3 T = @{typ bool} then NONE else SOME 3 @@ -1364,12 +1250,10 @@ else NONE end -(* theory -> (typ option * bool) list -> bool -> styp -> bool *) val is_built_in_const = is_some oooo arity_of_built_in_const (* This function is designed to work for both real definition axioms and simplification rules (equational specifications). *) -(* term -> term *) fun term_under_def t = case t of @{const "==>"} $ _ $ t2 => term_under_def t2 @@ -1383,8 +1267,6 @@ (* Here we crucially rely on "Refute.specialize_type" performing a preorder traversal of the term, without which the wrong occurrence of a constant could be matched in the face of overloading. *) -(* theory -> (typ option * bool) list -> bool -> const_table -> styp - -> term list *) fun def_props_for_const thy stds fast_descrs table (x as (s, _)) = if is_built_in_const thy stds fast_descrs x then [] @@ -1393,10 +1275,8 @@ |> map_filter (try (Refute.specialize_type thy x)) |> filter (curry (op =) (Const x) o term_under_def) -(* term -> term option *) fun normalized_rhs_of t = let - (* term option -> term option *) fun aux (v as Var _) (SOME t) = SOME (lambda v t) | aux (c as Const (@{const_name TYPE}, _)) (SOME t) = SOME (lambda c t) | aux _ _ = NONE @@ -1409,7 +1289,6 @@ val args = strip_comb lhs |> snd in fold_rev aux args (SOME rhs) end -(* theory -> const_table -> styp -> term option *) fun def_of_const thy table (x as (s, _)) = if is_built_in_const thy [(NONE, false)] false x orelse original_name s <> s then @@ -1419,16 +1298,13 @@ |> normalized_rhs_of |> Option.map (prefix_abs_vars s) handle List.Empty => NONE -(* term -> fixpoint_kind *) fun fixpoint_kind_of_rhs (Abs (_, _, t)) = fixpoint_kind_of_rhs t | fixpoint_kind_of_rhs (Const (@{const_name lfp}, _) $ Abs _) = Lfp | fixpoint_kind_of_rhs (Const (@{const_name gfp}, _) $ Abs _) = Gfp | fixpoint_kind_of_rhs _ = NoFp -(* theory -> const_table -> term -> bool *) fun is_mutually_inductive_pred_def thy table t = let - (* term -> bool *) fun is_good_arg (Bound _) = true | is_good_arg (Const (s, _)) = s = @{const_name True} orelse s = @{const_name False} orelse @@ -1442,7 +1318,6 @@ | NONE => false) | _ => false end -(* theory -> const_table -> term -> term *) fun unfold_mutually_inductive_preds thy table = map_aterms (fn t as Const x => (case def_of_const thy table x of @@ -1454,7 +1329,6 @@ | NONE => t) | t => t) -(* theory -> (typ option * bool) list -> (string * int) list *) fun case_const_names thy stds = Symtab.fold (fn (dtype_s, {index, descr, case_name, ...}) => if is_basic_datatype thy stds dtype_s then @@ -1465,7 +1339,6 @@ (Datatype.get_all thy) [] @ map (apsnd length o snd) (#codatatypes (Data.get thy)) -(* theory -> const_table -> string * typ -> fixpoint_kind *) fun fixpoint_kind_of_const thy table x = if is_built_in_const thy [(NONE, false)] false x then NoFp @@ -1473,7 +1346,6 @@ fixpoint_kind_of_rhs (the (def_of_const thy table x)) handle Option.Option => NoFp -(* hol_context -> styp -> bool *) fun is_real_inductive_pred ({thy, stds, fast_descrs, def_table, intro_table, ...} : hol_context) x = fixpoint_kind_of_const thy def_table x <> NoFp andalso @@ -1489,7 +1361,6 @@ (is_real_equational_fun hol_ctxt orf is_real_inductive_pred hol_ctxt orf (String.isPrefix ubfp_prefix orf String.isPrefix lbfp_prefix) o fst) -(* term -> term *) fun lhs_of_equation t = case t of Const (@{const_name all}, _) $ Abs (_, _, t1) => lhs_of_equation t1 @@ -1500,7 +1371,6 @@ | Const (@{const_name "op ="}, _) $ t1 $ _ => SOME t1 | @{const "op -->"} $ _ $ t2 => lhs_of_equation t2 | _ => NONE -(* theory -> term -> bool *) fun is_constr_pattern _ (Bound _) = true | is_constr_pattern _ (Var _) = true | is_constr_pattern thy t = @@ -1517,10 +1387,8 @@ (* Similar to "Refute.specialize_type" but returns all matches rather than only the first (preorder) match. *) -(* theory -> styp -> term -> term list *) fun multi_specialize_type thy slack (s, T) t = let - (* term -> (typ * term) list -> (typ * term) list *) fun aux (Const (s', T')) ys = if s = s' then ys |> (if AList.defined (op =) ys T' then @@ -1539,22 +1407,18 @@ ys | aux _ ys = ys in map snd (fold_aterms aux t []) end -(* theory -> bool -> const_table -> styp -> term list *) fun nondef_props_for_const thy slack table (x as (s, _)) = these (Symtab.lookup table s) |> maps (multi_specialize_type thy slack x) -(* term -> term *) fun unvarify_term (t1 $ t2) = unvarify_term t1 $ unvarify_term t2 | unvarify_term (Var ((s, 0), T)) = Free (s, T) | unvarify_term (Abs (s, T, t')) = Abs (s, T, unvarify_term t') | unvarify_term t = t -(* theory -> term -> term *) fun axiom_for_choice_spec thy = unvarify_term #> Object_Logic.atomize_term thy #> Choice_Specification.close_form #> HOLogic.mk_Trueprop -(* hol_context -> styp -> bool *) fun is_choice_spec_fun ({thy, def_table, nondef_table, choice_spec_table, ...} : hol_context) x = case nondef_props_for_const thy true choice_spec_table x of @@ -1570,7 +1434,6 @@ ts') ts end -(* theory -> const_table -> term -> bool *) fun is_choice_spec_axiom thy choice_spec_table t = Symtab.exists (fn (_, ts) => exists (curry (op aconv) t o axiom_for_choice_spec thy) ts) @@ -1578,18 +1441,15 @@ (** Constant unfolding **) -(* theory -> (typ option * bool) list -> int * styp -> term *) fun constr_case_body thy stds (j, (x as (_, T))) = let val arg_Ts = binder_types T in list_comb (Bound j, map2 (select_nth_constr_arg thy stds x (Bound 0)) (index_seq 0 (length arg_Ts)) arg_Ts) end -(* hol_context -> typ -> int * styp -> term -> term *) fun add_constr_case (hol_ctxt as {thy, stds, ...}) res_T (j, x) res_t = Const (@{const_name If}, bool_T --> res_T --> res_T --> res_T) $ discriminate_value hol_ctxt x (Bound 0) $ constr_case_body thy stds (j, x) $ res_t -(* hol_context -> typ -> typ -> term *) fun optimized_case_def (hol_ctxt as {thy, stds, ...}) dataT res_T = let val xs = datatype_constrs hol_ctxt dataT @@ -1600,7 +1460,6 @@ |> fold_rev (add_constr_case hol_ctxt res_T) (length xs downto 2 ~~ xs') |> fold_rev (curry absdummy) (func_Ts @ [dataT]) end -(* hol_context -> string -> typ -> typ -> term -> term *) fun optimized_record_get (hol_ctxt as {thy, stds, ...}) s rec_T res_T t = let val constr_x = hd (datatype_constrs hol_ctxt rec_T) in case no_of_record_field thy s rec_T of @@ -1617,7 +1476,6 @@ [])) | j => select_nth_constr_arg thy stds constr_x t j res_T end -(* hol_context -> string -> typ -> term -> term -> term *) fun optimized_record_update (hol_ctxt as {thy, stds, ...}) s rec_T fun_t rec_t = let val constr_x as (_, constr_T) = hd (datatype_constrs hol_ctxt rec_T) @@ -1640,12 +1498,10 @@ (* Prevents divergence in case of cyclic or infinite definition dependencies. *) val unfold_max_depth = 255 -(* hol_context -> term -> term *) fun unfold_defs_in_term (hol_ctxt as {thy, ctxt, stds, fast_descrs, case_names, def_table, ground_thm_table, ersatz_table, ...}) = let - (* int -> typ list -> term -> term *) fun do_term depth Ts t = case t of (t0 as Const (@{const_name Int.number_class.number_of}, @@ -1695,13 +1551,11 @@ | Var _ => t | Bound _ => t | Abs (s, T, body) => Abs (s, T, do_term depth (T :: Ts) body) - (* int -> typ list -> styp -> term list -> int -> typ -> term * term list *) and select_nth_constr_arg_with_args _ _ (x as (_, T)) [] n res_T = (Abs (Name.uu, body_type T, select_nth_constr_arg thy stds x (Bound 0) n res_T), []) | select_nth_constr_arg_with_args depth Ts x (t :: ts) n res_T = (select_nth_constr_arg thy stds x (do_term depth Ts t) n res_T, ts) - (* int -> typ list -> term -> styp -> term list -> term *) and do_const depth Ts t (x as (s, T)) ts = case AList.lookup (op =) ersatz_table s of SOME s' => @@ -1782,39 +1636,30 @@ (** Axiom extraction/generation **) -(* term -> string * term *) fun pair_for_prop t = case term_under_def t of Const (s, _) => (s, t) | t' => raise TERM ("Nitpick_HOL.pair_for_prop", [t, t']) -(* (Proof.context -> term list) -> Proof.context -> (term * term) list - -> const_table *) fun def_table_for get ctxt subst = ctxt |> get |> map (pair_for_prop o subst_atomic subst) |> AList.group (op =) |> Symtab.make -(* term -> string * term *) fun paired_with_consts t = map (rpair t) (Term.add_const_names t []) -(* Proof.context -> (term * term) list -> term list -> const_table *) fun const_def_table ctxt subst ts = def_table_for (map prop_of o Nitpick_Defs.get) ctxt subst |> fold (fn (s, t) => Symtab.map_default (s, []) (cons t)) (map pair_for_prop ts) -(* term list -> const_table *) fun const_nondef_table ts = fold (append o paired_with_consts) ts [] |> AList.group (op =) |> Symtab.make -(* Proof.context -> (term * term) list -> const_table *) val const_simp_table = def_table_for (map prop_of o Nitpick_Simps.get) val const_psimp_table = def_table_for (map prop_of o Nitpick_Psimps.get) fun const_choice_spec_table ctxt subst = map (subst_atomic subst o prop_of) (Nitpick_Choice_Specs.get ctxt) |> const_nondef_table -(* Proof.context -> (term * term) list -> const_table -> const_table *) fun inductive_intro_table ctxt subst def_table = def_table_for (map (unfold_mutually_inductive_preds (ProofContext.theory_of ctxt) def_table o prop_of) o Nitpick_Intros.get) ctxt subst -(* theory -> term list Inttab.table *) fun ground_theorem_table thy = fold ((fn @{const Trueprop} $ t1 => is_ground_term t1 ? Inttab.map_default (hash_term t1, []) (cons t1) @@ -1830,16 +1675,13 @@ (@{const_name wf_wfrec}, @{const_name wf_wfrec'}), (@{const_name wfrec}, @{const_name wfrec'})] -(* theory -> (string * string) list *) fun ersatz_table thy = fold (append o snd) (#frac_types (Data.get thy)) basic_ersatz_table -(* const_table Unsynchronized.ref -> string -> term list -> unit *) fun add_simps simp_table s eqs = Unsynchronized.change simp_table (Symtab.update (s, eqs @ these (Symtab.lookup (!simp_table) s))) -(* theory -> styp -> term list *) fun inverse_axioms_for_rep_fun thy (x as (_, T)) = let val abs_T = domain_type T in typedef_info thy (fst (dest_Type abs_T)) |> the @@ -1847,7 +1689,6 @@ |> pairself (Refute.specialize_type thy x o prop_of o the) ||> single |> op :: end -(* theory -> string * typ list -> term list *) fun optimized_typedef_axioms thy (abs_z as (abs_s, _)) = let val abs_T = Type abs_z in if is_univ_typedef thy abs_T then @@ -1870,7 +1711,6 @@ end | NONE => [] end -(* Proof.context -> string * typ list -> term list *) fun optimized_quot_type_axioms ctxt stds abs_z = let val thy = ProofContext.theory_of ctxt @@ -1899,7 +1739,6 @@ HOLogic.mk_Trueprop (equiv_rel $ x_var $ normal_x))] end -(* hol_context -> typ -> term list *) fun codatatype_bisim_axioms (hol_ctxt as {thy, stds, ...}) T = let val xs = datatype_constrs hol_ctxt T @@ -1914,13 +1753,11 @@ $ (suc_const iter_T $ Bound 0) $ n_var) val x_var = Var (("x", 0), T) val y_var = Var (("y", 0), T) - (* styp -> int -> typ -> term *) fun nth_sub_bisim x n nth_T = (if is_codatatype thy nth_T then bisim_const $ n_var_minus_1 else HOLogic.eq_const nth_T) $ select_nth_constr_arg thy stds x x_var n nth_T $ select_nth_constr_arg thy stds x y_var n nth_T - (* styp -> term *) fun case_func (x as (_, T)) = let val arg_Ts = binder_types T @@ -1942,22 +1779,18 @@ exception NO_TRIPLE of unit -(* theory -> styp -> term -> term list * term list * term *) fun triple_for_intro_rule thy x t = let val prems = Logic.strip_imp_prems t |> map (Object_Logic.atomize_term thy) val concl = Logic.strip_imp_concl t |> Object_Logic.atomize_term thy val (main, side) = List.partition (exists_Const (curry (op =) x)) prems - (* term -> bool *) - val is_good_head = curry (op =) (Const x) o head_of + val is_good_head = curry (op =) (Const x) o head_of in if forall is_good_head main then (side, main, concl) else raise NO_TRIPLE () end -(* term -> term *) val tuple_for_args = HOLogic.mk_tuple o snd o strip_comb -(* indexname * typ -> term list -> term -> term -> term *) fun wf_constraint_for rel side concl main = let val core = HOLogic.mk_mem (HOLogic.mk_prod (tuple_for_args main, @@ -1971,12 +1804,9 @@ (t, vars) end -(* indexname * typ -> term list * term list * term -> term *) fun wf_constraint_for_triple rel (side, main, concl) = map (wf_constraint_for rel side concl) main |> foldr1 s_conj -(* Proof.context -> Time.time option -> thm - -> (Proof.context -> tactic -> tactic) -> bool *) fun terminates_by ctxt timeout goal tac = can (SINGLE (Classical.safe_tac (claset_of ctxt)) #> the #> SINGLE (DETERM_TIMEOUT timeout @@ -1992,7 +1822,6 @@ val termination_tacs = [Lexicographic_Order.lex_order_tac true, ScnpReconstruct.sizechange_tac] -(* hol_context -> const_table -> styp -> bool *) fun uncached_is_well_founded_inductive_pred ({thy, ctxt, stds, debug, fast_descrs, tac_timeout, intro_table, ...} : hol_context) (x as (_, T)) = @@ -2037,7 +1866,6 @@ (* The type constraint below is a workaround for a Poly/ML crash. *) -(* hol_context -> styp -> bool *) fun is_well_founded_inductive_pred (hol_ctxt as {thy, wfs, def_table, wf_cache, ...} : hol_context) (x as (s, _)) = @@ -2054,7 +1882,6 @@ Unsynchronized.change wf_cache (cons (x, (gfp, wf))); wf end -(* typ list -> typ -> term -> term *) fun ap_curry [_] _ t = t | ap_curry arg_Ts tuple_T t = let val n = length arg_Ts in @@ -2063,7 +1890,6 @@ $ mk_flat_tuple tuple_T (map Bound (n - 1 downto 0))) end -(* int -> term -> int *) fun num_occs_of_bound_in_term j (t1 $ t2) = op + (pairself (num_occs_of_bound_in_term j) (t1, t2)) | num_occs_of_bound_in_term j (Abs (_, _, t')) = @@ -2071,10 +1897,8 @@ | num_occs_of_bound_in_term j (Bound j') = if j' = j then 1 else 0 | num_occs_of_bound_in_term _ _ = 0 -(* term -> bool *) val is_linear_inductive_pred_def = let - (* int -> term -> bool *) fun do_disjunct j (Const (@{const_name Ex}, _) $ Abs (_, _, t2)) = do_disjunct (j + 1) t2 | do_disjunct j t = @@ -2082,7 +1906,6 @@ 0 => true | 1 => exists (curry (op =) (Bound j) o head_of) (conjuncts_of t) | _ => false - (* term -> bool *) fun do_lfp_def (Const (@{const_name lfp}, _) $ t2) = let val (xs, body) = strip_abs t2 in case length xs of @@ -2092,24 +1915,19 @@ | do_lfp_def _ = false in do_lfp_def o strip_abs_body end -(* int -> int list list *) fun n_ptuple_paths 0 = [] | n_ptuple_paths 1 = [] | n_ptuple_paths n = [] :: map (cons 2) (n_ptuple_paths (n - 1)) -(* int -> typ -> typ -> term -> term *) val ap_n_split = HOLogic.mk_psplits o n_ptuple_paths -(* term -> term * term *) val linear_pred_base_and_step_rhss = let - (* term -> term *) fun aux (Const (@{const_name lfp}, _) $ t2) = let val (xs, body) = strip_abs t2 val arg_Ts = map snd (tl xs) val tuple_T = HOLogic.mk_tupleT arg_Ts val j = length arg_Ts - (* int -> term -> term *) fun repair_rec j (Const (@{const_name Ex}, T1) $ Abs (s2, T2, t2')) = Const (@{const_name Ex}, T1) $ Abs (s2, T2, repair_rec (j + 1) t2') @@ -2139,7 +1957,6 @@ raise TERM ("Nitpick_HOL.linear_pred_base_and_step_rhss.aux", [t]) in aux end -(* hol_context -> styp -> term -> term *) fun starred_linear_pred_const (hol_ctxt as {simp_table, ...}) (s, T) def = let val j = maxidx_of_term def + 1 @@ -2173,7 +1990,6 @@ |> unfold_defs_in_term hol_ctxt end -(* hol_context -> bool -> styp -> term *) fun unrolled_inductive_pred_const (hol_ctxt as {thy, star_linear_preds, def_table, simp_table, ...}) gfp (x as (s, T)) = @@ -2210,7 +2026,6 @@ in unrolled_const end end -(* hol_context -> styp -> term *) fun raw_inductive_pred_axiom ({thy, def_table, ...} : hol_context) x = let val def = the (def_of_const thy def_table x) @@ -2237,7 +2052,6 @@ else raw_inductive_pred_axiom hol_ctxt x -(* hol_context -> styp -> term list *) fun raw_equational_fun_axioms (hol_ctxt as {thy, stds, fast_descrs, simp_table, psimp_table, ...}) x = case def_props_for_const thy stds fast_descrs (!simp_table) x of @@ -2246,7 +2060,6 @@ | psimps => psimps) | simps => simps val equational_fun_axioms = map extensionalize oo raw_equational_fun_axioms -(* hol_context -> styp -> bool *) fun is_equational_fun_surely_complete hol_ctxt x = case raw_equational_fun_axioms hol_ctxt x of [@{const Trueprop} $ (Const (@{const_name "op ="}, _) $ t1 $ _)] => @@ -2255,10 +2068,8 @@ (** Type preprocessing **) -(* term list -> term list *) fun merge_type_vars_in_terms ts = let - (* typ -> (sort * string) list -> (sort * string) list *) fun add_type (TFree (s, S)) table = (case AList.lookup (op =) table S of SOME s' => @@ -2267,12 +2078,10 @@ | NONE => (S, s) :: table) | add_type _ table = table val table = fold (fold_types (fold_atyps add_type)) ts [] - (* typ -> typ *) fun coalesce (TFree (_, S)) = TFree (AList.lookup (op =) table S |> the, S) | coalesce T = T in map (map_types (map_atyps coalesce)) ts end -(* hol_context -> bool -> typ -> typ list -> typ list *) fun add_ground_types hol_ctxt binarize = let fun aux T accum = @@ -2293,10 +2102,8 @@ | _ => insert (op =) T accum in aux end -(* hol_context -> bool -> typ -> typ list *) fun ground_types_in_type hol_ctxt binarize T = add_ground_types hol_ctxt binarize T [] -(* hol_context -> term list -> typ list *) fun ground_types_in_terms hol_ctxt binarize ts = fold (fold_types (add_ground_types hol_ctxt binarize)) ts [] diff -r 76d5fd5a45fb -r ff5f88702590 src/HOL/Tools/Nitpick/nitpick_isar.ML --- a/src/HOL/Tools/Nitpick/nitpick_isar.ML Sat Apr 24 16:17:30 2010 +0200 +++ b/src/HOL/Tools/Nitpick/nitpick_isar.ML Sat Apr 24 16:33:01 2010 +0200 @@ -109,7 +109,6 @@ ("trust_potential", "check_potential"), ("trust_genuine", "check_genuine")] -(* string -> bool *) fun is_known_raw_param s = AList.defined (op =) default_default_params s orelse AList.defined (op =) negated_params s orelse @@ -118,19 +117,16 @@ ["card", "max", "iter", "box", "dont_box", "finitize", "dont_finitize", "mono", "non_mono", "std", "non_std", "wf", "non_wf", "format"] -(* string * 'a -> unit *) fun check_raw_param (s, _) = if is_known_raw_param s then () else error ("Unknown parameter: " ^ quote s ^ ".") -(* string -> string option *) fun unnegate_param_name name = case AList.lookup (op =) negated_params name of NONE => if String.isPrefix "dont_" name then SOME (unprefix "dont_" name) else if String.isPrefix "non_" name then SOME (unprefix "non_" name) else NONE | some_name => some_name -(* raw_param -> raw_param *) fun unnegate_raw_param (name, value) = case unnegate_param_name name of SOME name' => (name', case value of @@ -146,43 +142,32 @@ val extend = I fun merge p : T = AList.merge (op =) (K true) p) -(* raw_param -> theory -> theory *) val set_default_raw_param = Data.map o AList.update (op =) o unnegate_raw_param -(* theory -> raw_param list *) val default_raw_params = Data.get -(* string -> bool *) fun is_punctuation s = (s = "," orelse s = "-" orelse s = "\") -(* string list -> string *) fun stringify_raw_param_value [] = "" | stringify_raw_param_value [s] = s | stringify_raw_param_value (s1 :: s2 :: ss) = s1 ^ (if is_punctuation s1 orelse is_punctuation s2 then "" else " ") ^ stringify_raw_param_value (s2 :: ss) -(* int -> string -> int *) fun maxed_int_from_string min_int s = Int.max (min_int, the (Int.fromString s)) -(* Proof.context -> bool -> raw_param list -> raw_param list -> params *) fun extract_params ctxt auto default_params override_params = let val override_params = map unnegate_raw_param override_params val raw_params = rev override_params @ rev default_params - (* string -> string *) val lookup = Option.map stringify_raw_param_value o AList.lookup (op =) raw_params val lookup_string = the_default "" o lookup - (* bool -> bool option -> string -> bool option *) fun general_lookup_bool option default_value name = case lookup name of SOME s => parse_bool_option option name s | NONE => default_value - (* string -> bool *) val lookup_bool = the o general_lookup_bool false (SOME false) - (* string -> bool option *) val lookup_bool_option = general_lookup_bool true NONE - (* string -> string option -> int *) fun do_int name value = case value of SOME s => (case Int.fromString s of @@ -190,14 +175,11 @@ | NONE => error ("Parameter " ^ quote name ^ " must be assigned an integer value.")) | NONE => 0 - (* string -> int *) fun lookup_int name = do_int name (lookup name) - (* string -> int option *) fun lookup_int_option name = case lookup name of SOME "smart" => NONE | value => SOME (do_int name value) - (* string -> int -> string -> int list *) fun int_range_from_string name min_int s = let val (k1, k2) = @@ -211,17 +193,14 @@ handle Option.Option => error ("Parameter " ^ quote name ^ " must be assigned a sequence of integers.") - (* string -> int -> string -> int list *) fun int_seq_from_string name min_int s = maps (int_range_from_string name min_int) (space_explode "," s) - (* string -> int -> int list *) fun lookup_int_seq name min_int = case lookup name of SOME s => (case int_seq_from_string name min_int s of [] => [min_int] | value => value) | NONE => [min_int] - (* (string -> 'a) -> int -> string -> ('a option * int list) list *) fun lookup_ints_assigns read prefix min_int = (NONE, lookup_int_seq prefix min_int) :: map (fn (name, value) => @@ -229,7 +208,6 @@ value |> stringify_raw_param_value |> int_seq_from_string name min_int)) (filter (String.isPrefix (prefix ^ " ") o fst) raw_params) - (* (string -> 'a) -> string -> ('a option * bool) list *) fun lookup_bool_assigns read prefix = (NONE, lookup_bool prefix) :: map (fn (name, value) => @@ -237,7 +215,6 @@ value |> stringify_raw_param_value |> parse_bool_option false name |> the)) (filter (String.isPrefix (prefix ^ " ") o fst) raw_params) - (* (string -> 'a) -> string -> ('a option * bool option) list *) fun lookup_bool_option_assigns read prefix = (NONE, lookup_bool_option prefix) :: map (fn (name, value) => @@ -245,21 +222,17 @@ value |> stringify_raw_param_value |> parse_bool_option true name)) (filter (String.isPrefix (prefix ^ " ") o fst) raw_params) - (* string -> Time.time option *) fun lookup_time name = case lookup name of NONE => NONE | SOME s => parse_time_option name s - (* string -> term list *) val lookup_term_list = AList.lookup (op =) raw_params #> these #> Syntax.read_terms ctxt val read_type_polymorphic = Syntax.read_typ ctxt #> Logic.mk_type #> singleton (Variable.polymorphic ctxt) #> Logic.dest_type - (* string -> term *) val read_term_polymorphic = Syntax.read_term ctxt #> singleton (Variable.polymorphic ctxt) - (* string -> styp *) val read_const_polymorphic = read_term_polymorphic #> dest_Const val cards_assigns = lookup_ints_assigns read_type_polymorphic "card" 1 val maxes_assigns = lookup_ints_assigns read_const_polymorphic "max" ~1 @@ -330,25 +303,19 @@ check_genuine = check_genuine, batch_size = batch_size, expect = expect} end -(* theory -> (string * string) list -> params *) fun default_params thy = extract_params (ProofContext.init thy) false (default_raw_params thy) o map (apsnd single) -(* P.token list -> string * P.token list *) val parse_key = Scan.repeat1 P.typ_group >> space_implode " " -(* P.token list -> string list * P.token list *) val parse_value = Scan.repeat1 (P.minus >> single || Scan.repeat1 (Scan.unless P.minus P.name) || P.$$$ "," |-- P.number >> prefix "," >> single) >> flat -(* P.token list -> raw_param * P.token list *) val parse_param = parse_key -- Scan.optional (P.$$$ "=" |-- parse_value) [] -(* P.token list -> raw_param list * P.token list *) val parse_params = Scan.optional (P.$$$ "[" |-- P.list parse_param --| P.$$$ "]") [] -(* Proof.context -> ('a -> 'a) -> 'a -> 'a *) fun handle_exceptions ctxt f x = f x handle ARG (loc, details) => @@ -386,7 +353,6 @@ | Refute.REFUTE (loc, details) => error ("Unhandled Refute error (" ^ quote loc ^ "): " ^ details ^ ".") -(* raw_param list -> bool -> int -> int -> Proof.state -> bool * Proof.state *) fun pick_nits override_params auto i step state = let val thy = Proof.theory_of state @@ -394,7 +360,6 @@ val _ = List.app check_raw_param override_params val params as {blocking, debug, ...} = extract_params ctxt auto (default_raw_params thy) override_params - (* unit -> bool * Proof.state *) fun go () = (false, state) |> (if auto then perhaps o try @@ -407,17 +372,14 @@ else (Toplevel.thread true (fn () => (go (); ())); (false, state)) end -(* raw_param list * int -> Toplevel.transition -> Toplevel.transition *) fun nitpick_trans (params, i) = Toplevel.keep (fn st => (pick_nits params false i (Toplevel.proof_position_of st) (Toplevel.proof_of st); ())) -(* raw_param -> string *) fun string_for_raw_param (name, value) = name ^ " = " ^ stringify_raw_param_value value -(* raw_param list -> Toplevel.transition -> Toplevel.transition *) fun nitpick_params_trans params = Toplevel.theory (fold set_default_raw_param params @@ -430,8 +392,6 @@ params |> map string_for_raw_param |> sort_strings |> cat_lines))))) -(* P.token list - -> (Toplevel.transition -> Toplevel.transition) * P.token list *) val parse_nitpick_command = (parse_params -- Scan.optional P.nat 1) #>> nitpick_trans val parse_nitpick_params_command = parse_params #>> nitpick_params_trans @@ -443,7 +403,6 @@ "set and display the default parameters for Nitpick" K.thy_decl parse_nitpick_params_command -(* Proof.state -> bool * Proof.state *) fun auto_nitpick state = if not (!auto) then (false, state) else pick_nits [] true 1 0 state diff -r 76d5fd5a45fb -r ff5f88702590 src/HOL/Tools/Nitpick/nitpick_kodkod.ML --- a/src/HOL/Tools/Nitpick/nitpick_kodkod.ML Sat Apr 24 16:17:30 2010 +0200 +++ b/src/HOL/Tools/Nitpick/nitpick_kodkod.ML Sat Apr 24 16:33:01 2010 +0200 @@ -57,24 +57,19 @@ structure NfaGraph = Typ_Graph -(* int -> KK.int_expr list *) fun flip_nums n = index_seq 1 n @ [0] |> map KK.Num -(* int -> int -> int -> KK.bound list -> KK.formula -> int *) fun univ_card nat_card int_card main_j0 bounds formula = let - (* KK.rel_expr -> int -> int *) fun rel_expr_func r k = Int.max (k, case r of KK.Atom j => j + 1 | KK.AtomSeq (k', j0) => j0 + k' | _ => 0) - (* KK.tuple -> int -> int *) fun tuple_func t k = case t of KK.Tuple js => fold Integer.max (map (Integer.add 1) js) k | _ => k - (* KK.tuple_set -> int -> int *) fun tuple_set_func ts k = Int.max (k, case ts of KK.TupleAtomSeq (k', j0) => j0 + k' | _ => 0) val expr_F = {formula_func = K I, rel_expr_func = rel_expr_func, @@ -84,10 +79,8 @@ |> KK.fold_formula expr_F formula in Int.max (main_j0 + fold Integer.max [2, nat_card, int_card] 0, card) end -(* int -> KK.formula -> unit *) fun check_bits bits formula = let - (* KK.int_expr -> unit -> unit *) fun int_expr_func (KK.Num k) () = if is_twos_complement_representable bits k then () @@ -100,7 +93,6 @@ int_expr_func = int_expr_func} in KK.fold_formula expr_F formula () end -(* int -> int -> unit *) fun check_arity univ_card n = if n > KK.max_arity univ_card then raise TOO_LARGE ("Nitpick_Kodkod.check_arity", @@ -109,7 +101,6 @@ else () -(* bool -> int -> int list -> KK.tuple *) fun kk_tuple debug univ_card js = if debug then KK.Tuple js @@ -117,19 +108,13 @@ KK.TupleIndex (length js, fold (fn j => fn accum => accum * univ_card + j) js 0) -(* (int * int) list -> KK.tuple_set *) val tuple_set_from_atom_schema = foldl1 KK.TupleProduct o map KK.TupleAtomSeq -(* rep -> KK.tuple_set *) val upper_bound_for_rep = tuple_set_from_atom_schema o atom_schema_of_rep -(* int -> KK.tuple_set *) val single_atom = KK.TupleSet o single o KK.Tuple o single -(* int -> KK.int_bound list *) fun sequential_int_bounds n = [(NONE, map single_atom (index_seq 0 n))] -(* int -> int -> KK.int_bound list *) fun pow_of_two_int_bounds bits j0 = let - (* int -> int -> int -> KK.int_bound list *) fun aux 0 _ _ = [] | aux 1 pow_of_two j = [(SOME (~ pow_of_two), [single_atom j])] | aux iter pow_of_two j = @@ -137,10 +122,8 @@ aux (iter - 1) (2 * pow_of_two) (j + 1) in aux (bits + 1) 1 j0 end -(* KK.formula -> KK.n_ary_index list *) fun built_in_rels_in_formula formula = let - (* KK.rel_expr -> KK.n_ary_index list -> KK.n_ary_index list *) fun rel_expr_func (KK.Rel (x as (n, j))) = if x = unsigned_bit_word_sel_rel orelse x = signed_bit_word_sel_rel then I @@ -155,7 +138,6 @@ val max_table_size = 65536 -(* int -> unit *) fun check_table_size k = if k > max_table_size then raise TOO_LARGE ("Nitpick_Kodkod.check_table_size", @@ -163,7 +145,6 @@ else () -(* bool -> int -> int * int -> (int -> int) -> KK.tuple list *) fun tabulate_func1 debug univ_card (k, j0) f = (check_table_size k; map_filter (fn j1 => let val j2 = f j1 in @@ -172,7 +153,6 @@ else NONE end) (index_seq 0 k)) -(* bool -> int -> int * int -> int -> (int * int -> int) -> KK.tuple list *) fun tabulate_op2 debug univ_card (k, j0) res_j0 f = (check_table_size (k * k); map_filter (fn j => let @@ -186,8 +166,6 @@ else NONE end) (index_seq 0 (k * k))) -(* bool -> int -> int * int -> int -> (int * int -> int * int) - -> KK.tuple list *) fun tabulate_op2_2 debug univ_card (k, j0) res_j0 f = (check_table_size (k * k); map_filter (fn j => let @@ -202,33 +180,27 @@ else NONE end) (index_seq 0 (k * k))) -(* bool -> int -> int * int -> (int * int -> int) -> KK.tuple list *) fun tabulate_nat_op2 debug univ_card (k, j0) f = tabulate_op2 debug univ_card (k, j0) j0 (atom_for_nat (k, 0) o f) fun tabulate_int_op2 debug univ_card (k, j0) f = tabulate_op2 debug univ_card (k, j0) j0 (atom_for_int (k, 0) o f o pairself (int_for_atom (k, 0))) -(* bool -> int -> int * int -> (int * int -> int * int) -> KK.tuple list *) fun tabulate_int_op2_2 debug univ_card (k, j0) f = tabulate_op2_2 debug univ_card (k, j0) j0 (pairself (atom_for_int (k, 0)) o f o pairself (int_for_atom (k, 0))) -(* int * int -> int *) fun isa_div (m, n) = m div n handle General.Div => 0 fun isa_mod (m, n) = m mod n handle General.Div => m fun isa_gcd (m, 0) = m | isa_gcd (m, n) = isa_gcd (n, isa_mod (m, n)) fun isa_lcm (m, n) = isa_div (m * n, isa_gcd (m, n)) val isa_zgcd = isa_gcd o pairself abs -(* int * int -> int * int *) fun isa_norm_frac (m, n) = if n < 0 then isa_norm_frac (~m, ~n) else if m = 0 orelse n = 0 then (0, 1) else let val p = isa_zgcd (m, n) in (isa_div (m, p), isa_div (n, p)) end -(* bool -> int -> int -> int -> int -> int * int - -> string * bool * KK.tuple list *) fun tabulate_built_in_rel debug univ_card nat_card int_card j0 (x as (n, _)) = (check_arity univ_card n; if x = not3_rel then @@ -269,25 +241,21 @@ else raise ARG ("Nitpick_Kodkod.tabulate_built_in_rel", "unknown relation")) -(* bool -> int -> int -> int -> int -> int * int -> KK.rel_expr -> KK.bound *) fun bound_for_built_in_rel debug univ_card nat_card int_card j0 x = let val (nick, ts) = tabulate_built_in_rel debug univ_card nat_card int_card j0 x in ([(x, nick)], [KK.TupleSet ts]) end -(* bool -> int -> int -> int -> int -> KK.formula -> KK.bound list *) fun bounds_for_built_in_rels_in_formula debug univ_card nat_card int_card j0 = map (bound_for_built_in_rel debug univ_card nat_card int_card j0) o built_in_rels_in_formula -(* Proof.context -> bool -> string -> typ -> rep -> string *) fun bound_comment ctxt debug nick T R = short_name nick ^ (if debug then " :: " ^ unyxml (Syntax.string_of_typ ctxt T) else "") ^ " : " ^ string_for_rep R -(* Proof.context -> bool -> nut -> KK.bound *) fun bound_for_plain_rel ctxt debug (u as FreeRel (x, T, R, nick)) = ([(x, bound_comment ctxt debug nick T R)], if nick = @{const_name bisim_iterator_max} then @@ -299,7 +267,6 @@ | bound_for_plain_rel _ _ u = raise NUT ("Nitpick_Kodkod.bound_for_plain_rel", [u]) -(* Proof.context -> bool -> dtype_spec list -> nut -> KK.bound *) fun bound_for_sel_rel ctxt debug dtypes (FreeRel (x, T as Type (@{type_name fun}, [T1, T2]), R as Func (Atom (_, j0), R2), nick)) = @@ -331,12 +298,9 @@ | bound_for_sel_rel _ _ _ u = raise NUT ("Nitpick_Kodkod.bound_for_sel_rel", [u]) -(* KK.bound list -> KK.bound list *) fun merge_bounds bs = let - (* KK.bound -> int *) fun arity (zs, _) = fst (fst (hd zs)) - (* KK.bound list -> KK.bound -> KK.bound list -> KK.bound list *) fun add_bound ds b [] = List.revAppend (ds, [b]) | add_bound ds b (c :: cs) = if arity b = arity c andalso snd b = snd c then @@ -345,40 +309,33 @@ add_bound (c :: ds) b cs in fold (add_bound []) bs [] end -(* int -> int -> KK.rel_expr list *) fun unary_var_seq j0 n = map (curry KK.Var 1) (index_seq j0 n) -(* int list -> KK.rel_expr *) val singleton_from_combination = foldl1 KK.Product o map KK.Atom -(* rep -> KK.rel_expr list *) fun all_singletons_for_rep R = if is_lone_rep R then all_combinations_for_rep R |> map singleton_from_combination else raise REP ("Nitpick_Kodkod.all_singletons_for_rep", [R]) -(* KK.rel_expr -> KK.rel_expr list *) fun unpack_products (KK.Product (r1, r2)) = unpack_products r1 @ unpack_products r2 | unpack_products r = [r] fun unpack_joins (KK.Join (r1, r2)) = unpack_joins r1 @ unpack_joins r2 | unpack_joins r = [r] -(* rep -> KK.rel_expr *) val empty_rel_for_rep = empty_n_ary_rel o arity_of_rep fun full_rel_for_rep R = case atom_schema_of_rep R of [] => raise REP ("Nitpick_Kodkod.full_rel_for_rep", [R]) | schema => foldl1 KK.Product (map KK.AtomSeq schema) -(* int -> int list -> KK.decl list *) fun decls_for_atom_schema j0 schema = map2 (fn j => fn x => KK.DeclOne ((1, j), KK.AtomSeq x)) (index_seq j0 (length schema)) schema (* The type constraint below is a workaround for a Poly/ML bug. *) -(* kodkod_constrs -> rep -> KK.rel_expr -> KK.formula *) fun d_n_ary_function ({kk_all, kk_join, kk_lone, kk_one, ...} : kodkod_constrs) R r = let val body_R = body_rep R in @@ -420,14 +377,11 @@ d_n_ary_function kk R r | kk_n_ary_function kk R r = d_n_ary_function kk R r -(* kodkod_constrs -> KK.rel_expr list -> KK.formula *) fun kk_disjoint_sets _ [] = KK.True | kk_disjoint_sets (kk as {kk_and, kk_no, kk_intersect, ...} : kodkod_constrs) (r :: rs) = fold (kk_and o kk_no o kk_intersect r) rs (kk_disjoint_sets kk rs) -(* int -> kodkod_constrs -> (KK.rel_expr -> KK.rel_expr) -> KK.rel_expr - -> KK.rel_expr *) fun basic_rel_rel_let j ({kk_rel_let, ...} : kodkod_constrs) f r = if inline_rel_expr r then f r @@ -435,36 +389,25 @@ let val x = (KK.arity_of_rel_expr r, j) in kk_rel_let [KK.AssignRelReg (x, r)] (f (KK.RelReg x)) end -(* kodkod_constrs -> (KK.rel_expr -> KK.rel_expr) -> KK.rel_expr - -> KK.rel_expr *) val single_rel_rel_let = basic_rel_rel_let 0 -(* kodkod_constrs -> (KK.rel_expr -> KK.rel_expr -> KK.rel_expr) -> KK.rel_expr - -> KK.rel_expr -> KK.rel_expr *) fun double_rel_rel_let kk f r1 r2 = single_rel_rel_let kk (fn r1 => basic_rel_rel_let 1 kk (f r1) r2) r1 -(* kodkod_constrs -> (KK.rel_expr -> KK.rel_expr -> KK.rel_expr -> KK.rel_expr) - -> KK.rel_expr -> KK.rel_expr -> KK.rel_expr -> KK.rel_expr *) fun triple_rel_rel_let kk f r1 r2 r3 = double_rel_rel_let kk (fn r1 => fn r2 => basic_rel_rel_let 2 kk (f r1 r2) r3) r1 r2 -(* kodkod_constrs -> int -> KK.formula -> KK.rel_expr *) fun atom_from_formula ({kk_rel_if, ...} : kodkod_constrs) j0 f = kk_rel_if f (KK.Atom (j0 + 1)) (KK.Atom j0) -(* kodkod_constrs -> rep -> KK.formula -> KK.rel_expr *) fun rel_expr_from_formula kk R f = case unopt_rep R of Atom (2, j0) => atom_from_formula kk j0 f | _ => raise REP ("Nitpick_Kodkod.rel_expr_from_formula", [R]) -(* kodkod_cotrs -> int -> int -> KK.rel_expr -> KK.rel_expr list *) fun unpack_vect_in_chunks ({kk_project_seq, ...} : kodkod_constrs) chunk_arity num_chunks r = List.tabulate (num_chunks, fn j => kk_project_seq r (j * chunk_arity) chunk_arity) -(* kodkod_constrs -> bool -> rep -> rep -> KK.rel_expr -> KK.rel_expr - -> KK.rel_expr *) fun kk_n_fold_join (kk as {kk_intersect, kk_product, kk_join, kk_project_seq, ...}) one R1 res_R r1 r2 = @@ -484,8 +427,6 @@ arity1 (arity_of_rep res_R) end -(* kodkod_constrs -> rep -> rep -> KK.rel_expr -> KK.rel_expr list - -> KK.rel_expr list -> KK.rel_expr *) fun kk_case_switch (kk as {kk_union, kk_product, ...}) R1 R2 r rs1 rs2 = if rs1 = rs2 then r else kk_n_fold_join kk true R1 R2 r (fold1 kk_union (map2 kk_product rs1 rs2)) @@ -493,7 +434,6 @@ val lone_rep_fallback_max_card = 4096 val some_j0 = 0 -(* kodkod_constrs -> rep -> rep -> KK.rel_expr -> KK.rel_expr *) fun lone_rep_fallback kk new_R old_R r = if old_R = new_R then r @@ -510,7 +450,6 @@ else raise REP ("Nitpick_Kodkod.lone_rep_fallback", [old_R, new_R]) end -(* kodkod_constrs -> int * int -> rep -> KK.rel_expr -> KK.rel_expr *) and atom_from_rel_expr kk x old_R r = case old_R of Func (R1, R2) => @@ -523,7 +462,6 @@ end | Opt _ => raise REP ("Nitpick_Kodkod.atom_from_rel_expr", [old_R]) | _ => lone_rep_fallback kk (Atom x) old_R r -(* kodkod_constrs -> rep list -> rep -> KK.rel_expr -> KK.rel_expr *) and struct_from_rel_expr kk Rs old_R r = case old_R of Atom _ => lone_rep_fallback kk (Struct Rs) old_R r @@ -547,7 +485,6 @@ lone_rep_fallback kk (Struct Rs) old_R r end | _ => raise REP ("Nitpick_Kodkod.struct_from_rel_expr", [old_R]) -(* kodkod_constrs -> int -> rep -> rep -> KK.rel_expr -> KK.rel_expr *) and vect_from_rel_expr kk k R old_R r = case old_R of Atom _ => lone_rep_fallback kk (Vect (k, R)) old_R r @@ -570,7 +507,6 @@ (kk_n_fold_join kk true R1 R2 arg_r r)) (all_singletons_for_rep R1)) | _ => raise REP ("Nitpick_Kodkod.vect_from_rel_expr", [old_R]) -(* kodkod_constrs -> rep -> rep -> rep -> KK.rel_expr -> KK.rel_expr *) and func_from_no_opt_rel_expr kk R1 R2 (Atom x) r = let val dom_card = card_of_rep R1 @@ -599,7 +535,6 @@ let val args_rs = all_singletons_for_rep R1 val vals_rs = unpack_vect_in_chunks kk 1 k r - (* KK.rel_expr -> KK.rel_expr -> KK.rel_expr *) fun empty_or_singleton_set_for arg_r val_r = #kk_join kk val_r (#kk_product kk (KK.Atom (j0 + 1)) arg_r) in @@ -682,7 +617,6 @@ end | _ => raise REP ("Nitpick_Kodkod.func_from_no_opt_rel_expr", [old_R, Func (R1, R2)]) -(* kodkod_constrs -> rep -> rep -> KK.rel_expr -> KK.rel_expr *) and rel_expr_from_rel_expr kk new_R old_R r = let val unopt_old_R = unopt_rep old_R @@ -702,25 +636,20 @@ [old_R, new_R])) unopt_old_R r end -(* kodkod_constrs -> rep -> rep -> rep -> KK.rel_expr -> KK.rel_expr *) and rel_expr_to_func kk R1 R2 = rel_expr_from_rel_expr kk (Func (R1, R2)) -(* kodkod_constrs -> typ -> KK.rel_expr -> KK.rel_expr *) fun bit_set_from_atom ({kk_join, ...} : kodkod_constrs) T r = kk_join r (KK.Rel (if T = @{typ "unsigned_bit word"} then unsigned_bit_word_sel_rel else signed_bit_word_sel_rel)) -(* kodkod_constrs -> typ -> KK.rel_expr -> KK.int_expr *) val int_expr_from_atom = KK.SetSum ooo bit_set_from_atom -(* kodkod_constrs -> typ -> rep -> KK.int_expr -> KK.rel_expr *) fun atom_from_int_expr (kk as {kk_rel_eq, kk_comprehension, ...} : kodkod_constrs) T R i = kk_comprehension (decls_for_atom_schema ~1 (atom_schema_of_rep R)) (kk_rel_eq (bit_set_from_atom kk T (KK.Var (1, ~1))) (KK.Bits i)) -(* kodkod_constrs -> nut -> KK.formula *) fun declarative_axiom_for_plain_rel kk (FreeRel (x, _, R as Func _, nick)) = kk_n_ary_function kk (R |> nick = @{const_name List.set} ? unopt_rep) (KK.Rel x) @@ -732,17 +661,13 @@ | declarative_axiom_for_plain_rel _ u = raise NUT ("Nitpick_Kodkod.declarative_axiom_for_plain_rel", [u]) -(* nut NameTable.table -> styp -> KK.rel_expr * rep * int *) fun const_triple rel_table (x as (s, T)) = case the_name rel_table (ConstName (s, T, Any)) of FreeRel ((n, j), _, R, _) => (KK.Rel (n, j), R, n) | _ => raise TERM ("Nitpick_Kodkod.const_triple", [Const x]) -(* nut NameTable.table -> styp -> KK.rel_expr *) fun discr_rel_expr rel_table = #1 o const_triple rel_table o discr_for_constr -(* hol_context -> bool -> kodkod_constrs -> nut NameTable.table - -> dtype_spec list -> styp -> int -> nfa_transition list *) fun nfa_transitions_for_sel hol_ctxt binarize ({kk_project, ...} : kodkod_constrs) rel_table (dtypes : dtype_spec list) constr_x n = @@ -757,14 +682,10 @@ else SOME (kk_project r (map KK.Num [0, j]), T)) (index_seq 1 (arity - 1) ~~ tl type_schema) end -(* hol_context -> bool -> kodkod_constrs -> nut NameTable.table - -> dtype_spec list -> styp -> nfa_transition list *) fun nfa_transitions_for_constr hol_ctxt binarize kk rel_table dtypes (x as (_, T)) = maps (nfa_transitions_for_sel hol_ctxt binarize kk rel_table dtypes x) (index_seq 0 (num_sels_for_constr_type T)) -(* hol_context -> bool -> kodkod_constrs -> nut NameTable.table - -> dtype_spec list -> dtype_spec -> nfa_entry option *) fun nfa_entry_for_datatype _ _ _ _ _ ({co = true, ...} : dtype_spec) = NONE | nfa_entry_for_datatype _ _ _ _ _ {standard = false, ...} = NONE | nfa_entry_for_datatype _ _ _ _ _ {deep = false, ...} = NONE @@ -775,12 +696,10 @@ val empty_rel = KK.Product (KK.None, KK.None) -(* nfa_table -> typ -> typ -> KK.rel_expr list *) fun direct_path_rel_exprs nfa start_T final_T = case AList.lookup (op =) nfa final_T of SOME trans => map fst (filter (curry (op =) start_T o snd) trans) | NONE => [] -(* kodkod_constrs -> nfa_table -> typ list -> typ -> typ -> KK.rel_expr *) and any_path_rel_expr ({kk_union, ...} : kodkod_constrs) nfa [] start_T final_T = fold kk_union (direct_path_rel_exprs nfa start_T final_T) @@ -788,14 +707,11 @@ | any_path_rel_expr (kk as {kk_union, ...}) nfa (T :: Ts) start_T final_T = kk_union (any_path_rel_expr kk nfa Ts start_T final_T) (knot_path_rel_expr kk nfa Ts start_T T final_T) -(* kodkod_constrs -> nfa_table -> typ list -> typ -> typ -> typ - -> KK.rel_expr *) and knot_path_rel_expr (kk as {kk_join, kk_reflexive_closure, ...}) nfa Ts start_T knot_T final_T = kk_join (kk_join (any_path_rel_expr kk nfa Ts knot_T final_T) (kk_reflexive_closure (loop_path_rel_expr kk nfa Ts knot_T))) (any_path_rel_expr kk nfa Ts start_T knot_T) -(* kodkod_constrs -> nfa_table -> typ list -> typ -> KK.rel_expr *) and loop_path_rel_expr ({kk_union, ...} : kodkod_constrs) nfa [] start_T = fold kk_union (direct_path_rel_exprs nfa start_T start_T) empty_rel | loop_path_rel_expr (kk as {kk_union, kk_closure, ...}) nfa (T :: Ts) @@ -806,12 +722,9 @@ kk_union (loop_path_rel_expr kk nfa Ts start_T) (knot_path_rel_expr kk nfa Ts start_T T start_T) -(* nfa_table -> unit NfaGraph.T *) fun graph_for_nfa nfa = let - (* typ -> unit NfaGraph.T -> unit NfaGraph.T *) fun new_node T = perhaps (try (NfaGraph.new_node (T, ()))) - (* nfa_table -> unit NfaGraph.T -> unit NfaGraph.T *) fun add_nfa [] = I | add_nfa ((_, []) :: nfa) = add_nfa nfa | add_nfa ((T, ((_, T') :: transitions)) :: nfa) = @@ -819,25 +732,19 @@ new_node T' o new_node T in add_nfa nfa NfaGraph.empty end -(* nfa_table -> nfa_table list *) fun strongly_connected_sub_nfas nfa = nfa |> graph_for_nfa |> NfaGraph.strong_conn |> map (fn keys => filter (member (op =) keys o fst) nfa) -(* kodkod_constrs -> nfa_table -> typ -> KK.formula *) fun acyclicity_axiom_for_datatype kk nfa start_T = #kk_no kk (#kk_intersect kk (loop_path_rel_expr kk nfa (map fst nfa) start_T) KK.Iden) -(* hol_context -> bool -> kodkod_constrs -> nut NameTable.table - -> dtype_spec list -> KK.formula list *) fun acyclicity_axioms_for_datatypes hol_ctxt binarize kk rel_table dtypes = map_filter (nfa_entry_for_datatype hol_ctxt binarize kk rel_table dtypes) dtypes |> strongly_connected_sub_nfas |> maps (fn nfa => map (acyclicity_axiom_for_datatype kk nfa o fst) nfa) -(* hol_context -> bool -> int -> kodkod_constrs -> nut NameTable.table - -> KK.rel_expr -> constr_spec -> int -> KK.formula *) fun sel_axiom_for_sel hol_ctxt binarize j0 (kk as {kk_all, kk_formula_if, kk_subset, kk_no, kk_join, ...}) rel_table dom_r ({const, delta, epsilon, exclusive, ...} : constr_spec) @@ -857,8 +764,6 @@ (kk_n_ary_function kk R2 r') (kk_no r')) end end -(* hol_context -> bool -> int -> int -> kodkod_constrs -> nut NameTable.table - -> constr_spec -> KK.formula list *) fun sel_axioms_for_constr hol_ctxt binarize bits j0 kk rel_table (constr as {const, delta, epsilon, explicit_max, ...}) = let @@ -885,19 +790,14 @@ (index_seq 0 (num_sels_for_constr_type (snd const))) end end -(* hol_context -> bool -> int -> int -> kodkod_constrs -> nut NameTable.table - -> dtype_spec -> KK.formula list *) fun sel_axioms_for_datatype hol_ctxt binarize bits j0 kk rel_table ({constrs, ...} : dtype_spec) = maps (sel_axioms_for_constr hol_ctxt binarize bits j0 kk rel_table) constrs -(* hol_context -> bool -> kodkod_constrs -> nut NameTable.table -> constr_spec - -> KK.formula list *) fun uniqueness_axiom_for_constr hol_ctxt binarize ({kk_all, kk_implies, kk_and, kk_rel_eq, kk_lone, kk_join, ...} : kodkod_constrs) rel_table ({const, ...} : constr_spec) = let - (* KK.rel_expr -> KK.formula *) fun conjunct_for_sel r = kk_rel_eq (kk_join (KK.Var (1, 0)) r) (kk_join (KK.Var (1, 1)) r) val num_sels = num_sels_for_constr_type (snd const) @@ -915,16 +815,11 @@ (fold1 kk_and (map (conjunct_for_sel o #1) (tl triples))) (kk_rel_eq (KK.Var (1, 0)) (KK.Var (1, 1)))) end -(* hol_context -> bool -> kodkod_constrs -> nut NameTable.table -> dtype_spec - -> KK.formula list *) fun uniqueness_axioms_for_datatype hol_ctxt binarize kk rel_table ({constrs, ...} : dtype_spec) = map (uniqueness_axiom_for_constr hol_ctxt binarize kk rel_table) constrs -(* constr_spec -> int *) fun effective_constr_max ({delta, epsilon, ...} : constr_spec) = epsilon - delta -(* int -> kodkod_constrs -> nut NameTable.table -> dtype_spec - -> KK.formula list *) fun partition_axioms_for_datatype j0 (kk as {kk_rel_eq, kk_union, ...}) rel_table ({card, constrs, ...} : dtype_spec) = @@ -936,8 +831,6 @@ kk_disjoint_sets kk rs] end -(* hol_context -> bool -> int -> int Typtab.table -> kodkod_constrs - -> nut NameTable.table -> dtype_spec -> KK.formula list *) fun other_axioms_for_datatype _ _ _ _ _ _ {deep = false, ...} = [] | other_axioms_for_datatype hol_ctxt binarize bits ofs kk rel_table (dtype as {typ, ...}) = @@ -947,15 +840,12 @@ partition_axioms_for_datatype j0 kk rel_table dtype end -(* hol_context -> bool -> int -> int Typtab.table -> kodkod_constrs - -> nut NameTable.table -> dtype_spec list -> KK.formula list *) fun declarative_axioms_for_datatypes hol_ctxt binarize bits ofs kk rel_table dtypes = acyclicity_axioms_for_datatypes hol_ctxt binarize kk rel_table dtypes @ maps (other_axioms_for_datatype hol_ctxt binarize bits ofs kk rel_table) dtypes -(* int Typtab.table -> kodkod_constrs -> nut -> KK.formula *) fun kodkod_formula_from_nut ofs (kk as {kk_all, kk_exist, kk_formula_let, kk_formula_if, kk_or, kk_not, kk_iff, kk_implies, kk_and, kk_subset, kk_rel_eq, kk_no, @@ -970,17 +860,13 @@ val false_atom = KK.Atom bool_j0 val true_atom = KK.Atom (bool_j0 + 1) - (* polarity -> int -> KK.rel_expr -> KK.formula *) fun formula_from_opt_atom polar j0 r = case polar of Neg => kk_not (kk_rel_eq r (KK.Atom j0)) | _ => kk_rel_eq r (KK.Atom (j0 + 1)) - (* int -> KK.rel_expr -> KK.formula *) val formula_from_atom = formula_from_opt_atom Pos - (* KK.formula -> KK.formula -> KK.formula *) fun kk_notimplies f1 f2 = kk_and f1 (kk_not f2) - (* KK.rel_expr -> KK.rel_expr -> KK.rel_expr *) val kk_or3 = double_rel_rel_let kk (fn r1 => fn r2 => @@ -993,21 +879,15 @@ (kk_intersect r1 r2)) fun kk_notimplies3 r1 r2 = kk_and3 r1 (kk_not3 r2) - (* int -> KK.rel_expr -> KK.formula list *) val unpack_formulas = map (formula_from_atom bool_j0) oo unpack_vect_in_chunks kk 1 - (* (KK.formula -> KK.formula -> KK.formula) -> int -> KK.rel_expr - -> KK.rel_expr -> KK.rel_expr *) fun kk_vect_set_op connective k r1 r2 = fold1 kk_product (map2 (atom_from_formula kk bool_j0 oo connective) (unpack_formulas k r1) (unpack_formulas k r2)) - (* (KK.formula -> KK.formula -> KK.formula) -> int -> KK.rel_expr - -> KK.rel_expr -> KK.formula *) fun kk_vect_set_bool_op connective k r1 r2 = fold1 kk_and (map2 connective (unpack_formulas k r1) (unpack_formulas k r2)) - (* nut -> KK.formula *) fun to_f u = case rep_of u of Formula polar => @@ -1060,7 +940,6 @@ else let (* FIXME: merge with similar code below *) - (* bool -> nut -> KK.rel_expr *) fun set_to_r widen u = if widen then kk_difference (full_rel_for_rep dom_R) @@ -1078,7 +957,6 @@ kk_iff (to_f_with_polarity polar u1) (to_f_with_polarity polar u2) | min_R => let - (* nut -> nut list *) fun args (Op2 (Apply, _, _, u1, u2)) = u2 :: args u1 | args (Tuple (_, _, us)) = us | args _ = [] @@ -1177,14 +1055,12 @@ | _ => raise NUT ("Nitpick_Kodkod.to_f", [u])) | Atom (2, j0) => formula_from_atom j0 (to_r u) | _ => raise NUT ("Nitpick_Kodkod.to_f", [u]) - (* polarity -> nut -> KK.formula *) and to_f_with_polarity polar u = case rep_of u of Formula _ => to_f u | Atom (2, j0) => formula_from_atom j0 (to_r u) | Opt (Atom (2, j0)) => formula_from_opt_atom polar j0 (to_r u) | _ => raise NUT ("Nitpick_Kodkod.to_f_with_polarity", [u]) - (* nut -> KK.rel_expr *) and to_r u = case u of Cst (False, _, Atom _) => false_atom @@ -1523,7 +1399,6 @@ | Opt (Atom (2, _)) => let (* FIXME: merge with similar code above *) - (* rep -> rep -> nut -> KK.rel_expr *) fun must R1 R2 u = kk_join (to_rep (Func (Struct [R1, R2], body_R)) u) true_atom fun may R1 R2 u = @@ -1558,9 +1433,7 @@ (to_rep (Func (b_R, Formula Neut)) u2) | Opt (Atom (2, _)) => let - (* KK.rel_expr -> rep -> nut -> KK.rel_expr *) fun do_nut r R u = kk_join (to_rep (Func (R, body_R)) u) r - (* KK.rel_expr -> KK.rel_expr *) fun do_term r = kk_product (kk_product (do_nut r a_R u1) (do_nut r b_R u2)) r in kk_union (do_term true_atom) (do_term false_atom) end @@ -1572,7 +1445,6 @@ (Func (R11, R12), Func (R21, Formula Neut)) => if R21 = R11 andalso is_lone_rep R12 then let - (* KK.rel_expr -> KK.rel_expr *) fun big_join r = kk_n_fold_join kk false R21 R12 r (to_r u1) val core_r = big_join (to_r u2) val core_R = Func (R12, Formula Neut) @@ -1666,39 +1538,32 @@ | FreeRel (x, _, _, _) => KK.Rel x | RelReg (j, _, R) => KK.RelReg (arity_of_rep R, j) | u => raise NUT ("Nitpick_Kodkod.to_r", [u]) - (* nut -> KK.decl *) and to_decl (BoundRel (x, _, R, _)) = KK.DeclOne (x, KK.AtomSeq (the_single (atom_schema_of_rep R))) | to_decl u = raise NUT ("Nitpick_Kodkod.to_decl", [u]) - (* nut -> KK.expr_assign *) and to_expr_assign (FormulaReg (j, _, _)) u = KK.AssignFormulaReg (j, to_f u) | to_expr_assign (RelReg (j, _, R)) u = KK.AssignRelReg ((arity_of_rep R, j), to_r u) | to_expr_assign u1 _ = raise NUT ("Nitpick_Kodkod.to_expr_assign", [u1]) - (* int * int -> nut -> KK.rel_expr *) and to_atom (x as (k, j0)) u = case rep_of u of Formula _ => atom_from_formula kk j0 (to_f u) | Unit => if k = 1 then KK.Atom j0 else raise NUT ("Nitpick_Kodkod.to_atom", [u]) | R => atom_from_rel_expr kk x R (to_r u) - (* rep list -> nut -> KK.rel_expr *) and to_struct Rs u = case rep_of u of Unit => full_rel_for_rep (Struct Rs) | R' => struct_from_rel_expr kk Rs R' (to_r u) - (* int -> rep -> nut -> KK.rel_expr *) and to_vect k R u = case rep_of u of Unit => full_rel_for_rep (Vect (k, R)) | R' => vect_from_rel_expr kk k R R' (to_r u) - (* rep -> rep -> nut -> KK.rel_expr *) and to_func R1 R2 u = case rep_of u of Unit => full_rel_for_rep (Func (R1, R2)) | R' => rel_expr_to_func kk R1 R2 R' (to_r u) - (* rep -> nut -> KK.rel_expr *) and to_opt R u = let val old_R = rep_of u in if is_opt_rep old_R then @@ -1706,16 +1571,13 @@ else to_rep R u end - (* rep -> nut -> KK.rel_expr *) and to_rep (Atom x) u = to_atom x u | to_rep (Struct Rs) u = to_struct Rs u | to_rep (Vect (k, R)) u = to_vect k R u | to_rep (Func (R1, R2)) u = to_func R1 R2 u | to_rep (Opt R) u = to_opt R u | to_rep R _ = raise REP ("Nitpick_Kodkod.to_rep", [R]) - (* nut -> KK.rel_expr *) and to_integer u = to_opt (one_rep ofs (type_of u) (rep_of u)) u - (* nut list -> rep -> KK.rel_expr -> KK.rel_expr *) and to_guard guard_us R r = let val unpacked_rs = unpack_joins r @@ -1733,16 +1595,13 @@ if null guard_fs then r else kk_rel_if (fold1 kk_or guard_fs) (empty_rel_for_rep R) r end - (* rep -> rep -> KK.rel_expr -> int -> KK.rel_expr *) and to_project new_R old_R r j0 = rel_expr_from_rel_expr kk new_R old_R (kk_project_seq r j0 (arity_of_rep old_R)) - (* rep list -> nut list -> KK.rel_expr *) and to_product Rs us = case map (uncurry to_opt) (filter (not_equal Unit o fst) (Rs ~~ us)) of [] => raise REP ("Nitpick_Kodkod.to_product", Rs) | rs => fold1 kk_product rs - (* int -> typ -> rep -> nut -> KK.rel_expr *) and to_nth_pair_sel n res_T res_R u = case u of Tuple (_, _, us) => to_rep res_R (nth us n) @@ -1770,9 +1629,6 @@ (to_rep res_R (Cst (Unity, res_T, Unit))) | _ => to_project res_R nth_R (to_rep (Opt (Struct Rs)) u) j0 end - (* (KK.formula -> KK.formula -> KK.formula) - -> (KK.rel_expr -> KK.rel_expr -> KK.formula) -> nut -> nut - -> KK.formula *) and to_set_bool_op connective set_oper u1 u2 = let val min_R = min_rep (rep_of u1) (rep_of u2) @@ -1788,12 +1644,6 @@ (kk_join r2 true_atom) | _ => raise REP ("Nitpick_Kodkod.to_set_bool_op", [min_R]) end - (* (KK.formula -> KK.formula -> KK.formula) - -> (KK.rel_expr -> KK.rel_expr -> KK.rel_expr) - -> (KK.rel_expr -> KK.rel_expr -> KK.formula) - -> (KK.rel_expr -> KK.rel_expr -> KK.formula) - -> (KK.rel_expr -> KK.rel_expr -> KK.formula) -> bool -> rep -> nut - -> nut -> KK.rel_expr *) and to_set_op connective connective3 set_oper true_set_oper false_set_oper neg_second R u1 u2 = let @@ -1825,11 +1675,9 @@ r1 r2 | _ => raise REP ("Nitpick_Kodkod.to_set_op", [min_R])) end - (* typ -> rep -> (KK.int_expr -> KK.int_expr) -> KK.rel_expr *) and to_bit_word_unary_op T R oper = let val Ts = strip_type T ||> single |> op @ - (* int -> KK.int_expr *) fun int_arg j = int_expr_from_atom kk (nth Ts j) (KK.Var (1, j)) in kk_comprehension (decls_for_atom_schema 0 (atom_schema_of_rep R)) @@ -1837,12 +1685,9 @@ (map (fn j => KK.AssignIntReg (j, int_arg j)) (0 upto 1), KK.IntEq (KK.IntReg 1, oper (KK.IntReg 0)))) end - (* typ -> rep -> (KK.int_expr -> KK.int_expr -> KK.int_expr -> bool) option - -> (KK.int_expr -> KK.int_expr -> KK.int_expr) option -> KK.rel_expr *) and to_bit_word_binary_op T R opt_guard opt_oper = let val Ts = strip_type T ||> single |> op @ - (* int -> KK.int_expr *) fun int_arg j = int_expr_from_atom kk (nth Ts j) (KK.Var (1, j)) in kk_comprehension (decls_for_atom_schema 0 (atom_schema_of_rep R)) @@ -1859,7 +1704,6 @@ [KK.IntEq (KK.IntReg 2, oper (KK.IntReg 0) (KK.IntReg 1))])))) end - (* rep -> rep -> KK.rel_expr -> nut -> KK.rel_expr *) and to_apply (R as Formula _) func_u arg_u = raise REP ("Nitpick_Kodkod.to_apply", [R]) | to_apply res_R func_u arg_u = @@ -1896,7 +1740,6 @@ (kk_n_fold_join kk true R1 R2 (to_opt R1 arg_u) (to_r func_u)) |> body_rep R2 = Formula Neut ? to_guard [arg_u] res_R | _ => raise NUT ("Nitpick_Kodkod.to_apply", [func_u]) - (* int -> rep -> rep -> KK.rel_expr -> nut *) and to_apply_vect k R' res_R func_r arg_u = let val arg_R = one_rep ofs (type_of arg_u) (unopt_rep (rep_of arg_u)) @@ -1906,10 +1749,8 @@ kk_case_switch kk arg_R res_R (to_opt arg_R arg_u) (all_singletons_for_rep arg_R) vect_rs end - (* bool -> nut -> KK.formula *) and to_could_be_unrep neg u = if neg andalso is_opt_rep (rep_of u) then kk_no (to_r u) else KK.False - (* nut -> KK.rel_expr -> KK.rel_expr *) and to_compare_with_unrep u r = if is_opt_rep (rep_of u) then kk_rel_if (kk_some (to_r u)) r (empty_rel_for_rep (rep_of u)) diff -r 76d5fd5a45fb -r ff5f88702590 src/HOL/Tools/Nitpick/nitpick_model.ML --- a/src/HOL/Tools/Nitpick/nitpick_model.ML Sat Apr 24 16:17:30 2010 +0200 +++ b/src/HOL/Tools/Nitpick/nitpick_model.ML Sat Apr 24 16:33:01 2010 +0200 @@ -16,7 +16,6 @@ show_skolems: bool, show_datatypes: bool, show_consts: bool} - type term_postprocessor = Proof.context -> string -> (typ -> term list) -> typ -> term -> term @@ -82,10 +81,8 @@ type atom_pool = ((string * int) * int list) list -(* Proof.context -> ((string * string) * (string * string)) * Proof.context *) fun add_wacky_syntax ctxt = let - (* term -> string *) val name_of = fst o dest_Const val thy = ProofContext.theory_of ctxt |> Context.reject_draft val (maybe_t, thy) = @@ -107,7 +104,6 @@ (** Term reconstruction **) -(* atom_pool Unsynchronized.ref -> string -> int -> int -> string *) fun nth_atom_suffix pool s j k = (case AList.lookup (op =) (!pool) (s, k) of SOME js => @@ -119,7 +115,6 @@ |> nat_subscript |> (s <> "" andalso Symbol.is_ascii_digit (List.last (explode s))) ? prefix "\<^isub>," -(* atom_pool Unsynchronized.ref -> string -> typ -> int -> int -> string *) fun nth_atom_name pool prefix (Type (s, _)) j k = let val s' = shortest_name s in prefix ^ (if String.isPrefix "\\" s' then s' else substring (s', 0, 1)) ^ @@ -129,18 +124,15 @@ prefix ^ perhaps (try (unprefix "'")) s ^ nth_atom_suffix pool s j k | nth_atom_name _ _ T _ _ = raise TYPE ("Nitpick_Model.nth_atom_name", [T], []) -(* atom_pool Unsynchronized.ref -> bool -> typ -> int -> int -> term *) fun nth_atom pool for_auto T j k = if for_auto then Free (nth_atom_name pool (hd (space_explode "." nitpick_prefix)) T j k, T) else Const (nth_atom_name pool "" T j k, T) -(* term -> real *) fun extract_real_number (Const (@{const_name divide}, _) $ t1 $ t2) = real (snd (HOLogic.dest_number t1)) / real (snd (HOLogic.dest_number t2)) | extract_real_number t = real (snd (HOLogic.dest_number t)) -(* term * term -> order *) fun nice_term_ord (Abs (_, _, t1), Abs (_, _, t2)) = nice_term_ord (t1, t2) | nice_term_ord tp = Real.compare (pairself extract_real_number tp) handle TERM ("dest_number", _) => @@ -151,16 +143,12 @@ | ord => ord) | _ => Term_Ord.fast_term_ord tp -(* typ -> term_postprocessor -> theory -> theory *) fun register_term_postprocessor T p = Data.map (cons (T, p)) -(* typ -> theory -> theory *) fun unregister_term_postprocessor T = Data.map (AList.delete (op =) T) -(* nut NameTable.table -> KK.raw_bound list -> nut -> int list list *) fun tuple_list_for_name rel_table bounds name = the (AList.lookup (op =) bounds (the_rel rel_table name)) handle NUT _ => [[]] -(* term -> term *) fun unarize_unbox_etc_term (Const (@{const_name FinFun}, _) $ t1) = unarize_unbox_etc_term t1 | unarize_unbox_etc_term (Const (@{const_name FunBox}, _) $ t1) = @@ -185,7 +173,6 @@ | unarize_unbox_etc_term (Abs (s, T, t')) = Abs (s, uniterize_unarize_unbox_etc_type T, unarize_unbox_etc_term t') -(* typ -> typ -> (typ * typ) * (typ * typ) *) fun factor_out_types (T1 as Type (@{type_name "*"}, [T11, T12])) (T2 as Type (@{type_name "*"}, [T21, T22])) = let val (n1, n2) = pairself num_factors_in_type (T11, T21) in @@ -210,25 +197,20 @@ ((T1, NONE), (T21, SOME T22)) | factor_out_types T1 T2 = ((T1, NONE), (T2, NONE)) -(* bool -> typ -> typ -> (term * term) list -> term *) fun make_plain_fun maybe_opt T1 T2 = let - (* typ -> typ -> (term * term) list -> term *) fun aux T1 T2 [] = Const (if maybe_opt then opt_flag else non_opt_flag, T1 --> T2) | aux T1 T2 ((t1, t2) :: tps) = Const (@{const_name fun_upd}, (T1 --> T2) --> T1 --> T2 --> T1 --> T2) $ aux T1 T2 tps $ t1 $ t2 in aux T1 T2 o rev end -(* term -> bool *) fun is_plain_fun (Const (s, _)) = (s = opt_flag orelse s = non_opt_flag) | is_plain_fun (Const (@{const_name fun_upd}, _) $ t0 $ _ $ _) = is_plain_fun t0 | is_plain_fun _ = false -(* term -> bool * (term list * term list) *) val dest_plain_fun = let - (* term -> bool * (term list * term list) *) fun aux (Abs (_, _, Const (s, _))) = (s <> irrelevant, ([], [])) | aux (Const (s, _)) = (s <> non_opt_flag, ([], [])) | aux (Const (@{const_name fun_upd}, _) $ t0 $ t1 $ t2) = @@ -238,7 +220,6 @@ | aux t = raise TERM ("Nitpick_Model.dest_plain_fun", [t]) in apsnd (pairself rev) o aux end -(* typ -> typ -> typ -> term -> term * term *) fun break_in_two T T1 T2 t = let val ps = HOLogic.flat_tupleT_paths T @@ -246,7 +227,6 @@ val (ps1, ps2) = pairself HOLogic.flat_tupleT_paths (T1, T2) val (ts1, ts2) = t |> HOLogic.strip_ptuple ps |> chop cut in (HOLogic.mk_ptuple ps1 T1 ts1, HOLogic.mk_ptuple ps2 T2 ts2) end -(* typ -> term -> term -> term *) fun pair_up (Type (@{type_name "*"}, [T1', T2'])) (t1 as Const (@{const_name Pair}, Type (@{type_name fun}, @@ -255,13 +235,10 @@ if T1 = T1' then HOLogic.mk_prod (t1, t2) else HOLogic.mk_prod (t11, pair_up T2' t12 t2) | pair_up _ t1 t2 = HOLogic.mk_prod (t1, t2) -(* typ -> term -> term list * term list -> (term * term) list*) fun multi_pair_up T1 t1 (ts2, ts3) = map2 (pair o pair_up T1 t1) ts2 ts3 -(* typ -> typ -> typ -> term -> term *) fun typecast_fun (Type (@{type_name fun}, [T1', T2'])) T1 T2 t = let - (* typ -> typ -> typ -> typ -> term -> term *) fun do_curry T1 T1a T1b T2 t = let val (maybe_opt, tsp) = dest_plain_fun t @@ -271,7 +248,6 @@ |> AList.coalesce (op =) |> map (apsnd (make_plain_fun maybe_opt T1b T2)) in make_plain_fun maybe_opt T1a (T1b --> T2) tps end - (* typ -> typ -> term -> term *) and do_uncurry T1 T2 t = let val (maybe_opt, tsp) = dest_plain_fun t @@ -280,7 +256,6 @@ |> maps (fn (t1, t2) => multi_pair_up T1 t1 (snd (dest_plain_fun t2))) in make_plain_fun maybe_opt T1 T2 tps end - (* typ -> typ -> typ -> typ -> term -> term *) and do_arrow T1' T2' _ _ (Const (s, _)) = Const (s, T1' --> T2') | do_arrow T1' T2' T1 T2 (Const (@{const_name fun_upd}, _) $ t0 $ t1 $ t2) = @@ -297,7 +272,6 @@ | ((T1a', SOME T1b'), (_, NONE)) => t |> do_arrow T1a' (T1b' --> T2') T1 T2 |> do_uncurry T1' T2' | _ => raise TYPE ("Nitpick_Model.typecast_fun.do_fun", [T1, T1'], []) - (* typ -> typ -> term -> term *) and do_term (Type (@{type_name fun}, [T1', T2'])) (Type (@{type_name fun}, [T1, T2])) t = do_fun T1' T2' T1 T2 t @@ -313,33 +287,25 @@ | typecast_fun T' _ _ _ = raise TYPE ("Nitpick_Model.typecast_fun", [T'], []) -(* term -> string *) fun truth_const_sort_key @{const True} = "0" | truth_const_sort_key @{const False} = "2" | truth_const_sort_key _ = "1" -(* typ -> term list -> term *) fun mk_tuple (Type (@{type_name "*"}, [T1, T2])) ts = HOLogic.mk_prod (mk_tuple T1 ts, mk_tuple T2 (List.drop (ts, length (HOLogic.flatten_tupleT T1)))) | mk_tuple _ (t :: _) = t | mk_tuple T [] = raise TYPE ("Nitpick_Model.mk_tuple", [T], []) -(* theory -> typ * typ -> bool *) fun varified_type_match thy (candid_T, pat_T) = strict_type_match thy (candid_T, Logic.varifyT_global pat_T) -(* atom_pool -> (string * string) * (string * string) -> scope -> nut list - -> nut list -> nut list -> nut NameTable.table -> KK.raw_bound list -> typ - -> term list *) fun all_values_of_type pool wacky_names (scope as {card_assigns, ...} : scope) sel_names rel_table bounds card T = let val card = if card = 0 then card_of_type card_assigns T else card - (* nat -> term *) fun nth_value_of_type n = let - (* bool -> term *) fun term unfold = reconstruct_term unfold pool wacky_names scope sel_names rel_table bounds T T (Atom (card, 0)) [[n]] @@ -353,15 +319,11 @@ | t => t end in index_seq 0 card |> map nth_value_of_type |> sort nice_term_ord end -(* bool -> atom_pool -> (string * string) * (string * string) -> scope - -> nut list -> nut list -> nut list -> nut NameTable.table - -> KK.raw_bound list -> typ -> typ -> rep -> int list list -> term *) and reconstruct_term unfold pool (wacky_names as ((maybe_name, abs_name), _)) (scope as {hol_ctxt as {ctxt, thy, stds, ...}, binarize, card_assigns, bits, datatypes, ofs, ...}) sel_names rel_table bounds = let val for_auto = (maybe_name = "") - (* int list list -> int *) fun value_of_bits jss = let val j0 = offset_of_type ofs @{typ unsigned_bit} @@ -370,10 +332,8 @@ fold (fn j => Integer.add (reasonable_power 2 j |> j = bits ? op ~)) js 0 end - (* typ -> term list *) val all_values = all_values_of_type pool wacky_names scope sel_names rel_table bounds 0 - (* typ -> term -> term *) fun postprocess_term (Type (@{type_name fun}, _)) = I | postprocess_term T = if null (Data.get thy) then @@ -381,7 +341,6 @@ else case AList.lookup (varified_type_match thy) (Data.get thy) T of SOME postproc => postproc ctxt maybe_name all_values T | NONE => I - (* typ list -> term -> term *) fun postprocess_subterms Ts (t1 $ t2) = let val t = postprocess_subterms Ts t1 $ postprocess_subterms Ts t2 in postprocess_term (fastype_of1 (Ts, t)) t @@ -389,13 +348,11 @@ | postprocess_subterms Ts (Abs (s, T, t')) = Abs (s, T, postprocess_subterms (T :: Ts) t') | postprocess_subterms Ts t = postprocess_term (fastype_of1 (Ts, t)) t - (* bool -> typ -> typ -> (term * term) list -> term *) fun make_set maybe_opt T1 T2 tps = let val empty_const = Const (@{const_abbrev Set.empty}, T1 --> T2) val insert_const = Const (@{const_name insert}, T1 --> (T1 --> T2) --> T1 --> T2) - (* (term * term) list -> term *) fun aux [] = if maybe_opt andalso not (is_complete_type datatypes false T1) then insert_const $ Const (unrep, T1) $ empty_const @@ -416,12 +373,10 @@ else aux tps end - (* bool -> typ -> typ -> typ -> (term * term) list -> term *) fun make_map maybe_opt T1 T2 T2' = let val update_const = Const (@{const_name fun_upd}, (T1 --> T2) --> T1 --> T2 --> T1 --> T2) - (* (term * term) list -> term *) fun aux' [] = Const (@{const_abbrev Map.empty}, T1 --> T2) | aux' ((t1, t2) :: tps) = (case t2 of @@ -434,7 +389,6 @@ else aux' tps in aux end - (* typ list -> term -> term *) fun polish_funs Ts t = (case fastype_of1 (Ts, t) of Type (@{type_name fun}, [T1, T2]) => @@ -475,7 +429,6 @@ else t | t => t - (* bool -> typ -> typ -> typ -> term list -> term list -> term *) fun make_fun maybe_opt T1 T2 T' ts1 ts2 = ts1 ~~ ts2 |> sort (nice_term_ord o pairself fst) |> make_plain_fun maybe_opt T1 T2 @@ -483,7 +436,6 @@ |> typecast_fun (uniterize_unarize_unbox_etc_type T') (uniterize_unarize_unbox_etc_type T1) (uniterize_unarize_unbox_etc_type T2) - (* (typ * int) list -> typ -> typ -> int -> term *) fun term_for_atom seen (T as Type (@{type_name fun}, [T1, T2])) T' j _ = let val k1 = card_of_type card_assigns T1 @@ -524,10 +476,8 @@ | SOME {deep = false, ...} => nth_atom pool for_auto T j k | SOME {co, standard, constrs, ...} => let - (* styp -> int list *) fun tuples_for_const (s, T) = tuple_list_for_name rel_table bounds (ConstName (s, T, Any)) - (* unit -> term *) fun cyclic_atom () = nth_atom pool for_auto (Type (cyclic_type_name, [])) j k fun cyclic_var () = Var ((nth_atom_name pool "" T j k, 0), T) @@ -616,14 +566,11 @@ t end end - (* (typ * int) list -> int -> rep -> typ -> typ -> typ -> int list - -> term *) and term_for_vect seen k R T1 T2 T' js = make_fun true T1 T2 T' (map (fn j => term_for_atom seen T1 T1 j k) (index_seq 0 k)) (map (term_for_rep true seen T2 T2 R o single) (batch_list (arity_of_rep R) js)) - (* bool -> (typ * int) list -> typ -> typ -> rep -> int list list -> term *) and term_for_rep _ seen T T' Unit [[]] = term_for_atom seen T T' 0 1 | term_for_rep _ seen T T' (R as Atom (k, j0)) [[j]] = if j >= j0 andalso j < j0 + k then term_for_atom seen T T' (j - j0) k @@ -675,14 +622,12 @@ (** Constant postprocessing **) -(* int -> typ -> typ list *) fun dest_n_tuple_type 1 T = [T] | dest_n_tuple_type n (Type (_, [T1, T2])) = T1 :: dest_n_tuple_type (n - 1) T2 | dest_n_tuple_type _ T = raise TYPE ("Nitpick_Model.dest_n_tuple_type", [T], []) -(* theory -> const_table -> styp -> int list *) fun const_format thy def_table (x as (s, T)) = if String.isPrefix unrolled_prefix s then const_format thy def_table (original_name s, range_type T) @@ -702,7 +647,6 @@ else [num_binder_types T] | NONE => [num_binder_types T] -(* int list -> int list -> int list *) fun intersect_formats _ [] = [] | intersect_formats [] _ = [] | intersect_formats ks1 ks2 = @@ -712,7 +656,6 @@ [Int.min (k1, k2)] end -(* theory -> const_table -> (term option * int list) list -> term -> int list *) fun lookup_format thy def_table formats t = case AList.lookup (fn (SOME x, SOME y) => (term_match thy) (x, y) | _ => false) @@ -725,7 +668,6 @@ | _ => format end -(* int list -> int list -> typ -> typ *) fun format_type default_format format T = let val T = uniterize_unarize_unbox_etc_type T @@ -743,28 +685,22 @@ |> map (HOLogic.mk_tupleT o rev) in List.foldl (op -->) body_T batched end end -(* theory -> const_table -> (term option * int list) list -> term -> typ *) fun format_term_type thy def_table formats t = format_type (the (AList.lookup (op =) formats NONE)) (lookup_format thy def_table formats t) (fastype_of t) -(* int list -> int -> int list -> int list *) fun repair_special_format js m format = m - 1 downto 0 |> chunk_list_unevenly (rev format) |> map (rev o filter_out (member (op =) js)) |> filter_out null |> map length |> rev -(* hol_context -> string * string -> (term option * int list) list - -> styp -> term * typ *) fun user_friendly_const ({thy, evals, def_table, skolems, special_funs, ...} : hol_context) (base_name, step_name) formats = let val default_format = the (AList.lookup (op =) formats NONE) - (* styp -> term * typ *) fun do_const (x as (s, T)) = (if String.isPrefix special_prefix s then let - (* term -> term *) val do_term = map_aterms (fn Const x => fst (do_const x) | t' => t') val (x' as (_, T'), js, ts) = AList.find (op =) (!special_funs) (s, unarize_unbox_etc_type T) @@ -773,7 +709,6 @@ val Ts = List.take (binder_types T', max_j + 1) val missing_js = filter_out (member (op =) js) (0 upto max_j) val missing_Ts = filter_indices missing_js Ts - (* int -> indexname *) fun nth_missing_var n = ((arg_var_prefix ^ nat_subscript (n + 1), 0), nth missing_Ts n) val missing_vars = map nth_missing_var (0 upto length missing_js - 1) @@ -865,7 +800,6 @@ |>> shorten_names_in_term |>> Term.map_abs_vars shortest_name in do_const end -(* styp -> string *) fun assign_operator_for_const (s, T) = if String.isPrefix ubfp_prefix s then if is_fun_type T then "\" else "\" @@ -878,8 +812,6 @@ (** Model reconstruction **) -(* atom_pool -> scope -> nut list -> nut NameTable.table -> KK.raw_bound list - -> nut -> term *) fun term_for_name pool scope sel_names rel_table bounds name = let val T = type_of name in tuple_list_for_name rel_table bounds name @@ -887,13 +819,11 @@ rel_table bounds T T (rep_of name) end -(* term -> term *) fun unfold_outer_the_binders (t as Const (@{const_name The}, _) $ Abs (s, T, Const (@{const_name "op ="}, _) $ Bound 0 $ t')) = betapply (Abs (s, T, t'), t) |> unfold_outer_the_binders | unfold_outer_the_binders t = t -(* typ list -> int -> term * term -> bool *) fun bisimilar_values _ 0 _ = true | bisimilar_values coTs max_depth (t1, t2) = let val T = fastype_of t1 in @@ -910,9 +840,6 @@ t1 = t2 end -(* params -> scope -> (term option * int list) list -> styp list -> nut list - -> nut list -> nut list -> nut NameTable.table -> KK.raw_bound list - -> Pretty.T * bool *) fun reconstruct_hol_model {show_skolems, show_datatypes, show_consts} ({hol_ctxt = {thy, ctxt, max_bisim_depth, boxes, stds, wfs, user_axioms, debug, binary_ints, destroy_constrs, specialize, @@ -945,13 +872,10 @@ val scope = {hol_ctxt = hol_ctxt, binarize = binarize, card_assigns = card_assigns, bits = bits, bisim_depth = bisim_depth, datatypes = datatypes, ofs = ofs} - (* bool -> typ -> typ -> rep -> int list list -> term *) fun term_for_rep unfold = reconstruct_term unfold pool wacky_names scope sel_names rel_table bounds - (* nat -> typ -> nat -> term *) fun nth_value_of_type card T n = let - (* bool -> term *) fun aux unfold = term_for_rep unfold T T (Atom (card, 0)) [[n]] in case aux false of @@ -962,10 +886,8 @@ t | t => t end - (* nat -> typ -> term list *) val all_values = all_values_of_type pool wacky_names scope sel_names rel_table bounds - (* dtype_spec list -> dtype_spec -> bool *) fun is_codatatype_wellformed (cos : dtype_spec list) ({typ, card, ...} : dtype_spec) = let @@ -975,7 +897,6 @@ forall (not o bisimilar_values (map #typ cos) max_depth) (all_distinct_unordered_pairs_of ts) end - (* string -> Pretty.T *) fun pretty_for_assign name = let val (oper, (t1, T'), T) = @@ -999,7 +920,6 @@ [setmp_show_all_types (Syntax.pretty_term ctxt) t1, Pretty.str oper, Syntax.pretty_term ctxt t2]) end - (* dtype_spec -> Pretty.T *) fun pretty_for_datatype ({typ, card, complete, ...} : dtype_spec) = Pretty.block (Pretty.breaks (Syntax.pretty_typ ctxt (uniterize_unarize_unbox_etc_type typ) :: @@ -1013,7 +933,6 @@ (map (Syntax.pretty_term ctxt) (all_values card typ) @ (if fun_from_pair complete false then [] else [Pretty.str unrep]))])) - (* typ -> dtype_spec list *) fun integer_datatype T = [{typ = T, card = card_of_type card_assigns T, co = false, standard = true, complete = (false, false), concrete = (true, true), @@ -1036,7 +955,6 @@ (map pretty_for_datatype codatatypes)] else [] - (* bool -> string -> nut list -> Pretty.T list *) fun block_of_names show title names = if show andalso not (null names) then Pretty.str (title ^ plural_s_for_list names ^ ":") @@ -1075,17 +993,13 @@ forall (is_codatatype_wellformed codatatypes) codatatypes) end -(* scope -> Time.time option -> nut list -> nut list -> nut NameTable.table - -> KK.raw_bound list -> term -> bool option *) fun prove_hol_model (scope as {hol_ctxt = {thy, ctxt, debug, ...}, card_assigns, ...}) auto_timeout free_names sel_names rel_table bounds prop = let val pool = Unsynchronized.ref [] - (* typ * int -> term *) fun free_type_assm (T, k) = let - (* int -> term *) fun atom j = nth_atom pool true T j k fun equation_for_atom j = HOLogic.eq_const T $ Bound 0 $ atom j val eqs = map equation_for_atom (index_seq 0 k) @@ -1094,14 +1008,12 @@ $ Abs ("x", T, foldl1 HOLogic.mk_disj eqs) val distinct_assm = distinctness_formula T (map atom (index_seq 0 k)) in s_conj (compreh_assm, distinct_assm) end - (* nut -> term *) fun free_name_assm name = HOLogic.mk_eq (Free (nickname_of name, type_of name), term_for_name pool scope sel_names rel_table bounds name) val freeT_assms = map free_type_assm (filter (is_TFree o fst) card_assigns) val model_assms = map free_name_assm free_names val assm = foldr1 s_conj (freeT_assms @ model_assms) - (* bool -> bool *) fun try_out negate = let val concl = (negate ? curry (op $) @{const Not}) diff -r 76d5fd5a45fb -r ff5f88702590 src/HOL/Tools/Nitpick/nitpick_mono.ML --- a/src/HOL/Tools/Nitpick/nitpick_mono.ML Sat Apr 24 16:17:30 2010 +0200 +++ b/src/HOL/Tools/Nitpick/nitpick_mono.ML Sat Apr 24 16:33:01 2010 +0200 @@ -54,55 +54,42 @@ exception MTYPE of string * mtyp list * typ list exception MTERM of string * mterm list -(* string -> unit *) fun print_g (_ : string) = () (* val print_g = tracing *) -(* var -> string *) val string_for_var = signed_string_of_int -(* string -> var list -> string *) fun string_for_vars sep [] = "0\<^bsub>" ^ sep ^ "\<^esub>" | string_for_vars sep xs = space_implode sep (map string_for_var xs) fun subscript_string_for_vars sep xs = if null xs then "" else "\<^bsub>" ^ string_for_vars sep xs ^ "\<^esub>" -(* sign -> string *) fun string_for_sign Plus = "+" | string_for_sign Minus = "-" -(* sign -> sign -> sign *) fun xor sn1 sn2 = if sn1 = sn2 then Plus else Minus -(* sign -> sign *) val negate = xor Minus -(* sign_atom -> string *) fun string_for_sign_atom (S sn) = string_for_sign sn | string_for_sign_atom (V x) = string_for_var x -(* literal -> string *) fun string_for_literal (x, sn) = string_for_var x ^ " = " ^ string_for_sign sn val bool_M = MType (@{type_name bool}, []) val dummy_M = MType (nitpick_prefix ^ "dummy", []) -(* mtyp -> bool *) fun is_MRec (MRec _) = true | is_MRec _ = false -(* mtyp -> mtyp * sign_atom * mtyp *) fun dest_MFun (MFun z) = z | dest_MFun M = raise MTYPE ("Nitpick_Mono.dest_MFun", [M], []) val no_prec = 100 -(* mtyp -> int *) fun precedence_of_mtype (MFun _) = 1 | precedence_of_mtype (MPair _) = 2 | precedence_of_mtype _ = no_prec -(* mtyp -> string *) val string_for_mtype = let - (* int -> mtyp -> string *) fun aux outer_prec M = let val prec = precedence_of_mtype M @@ -126,22 +113,17 @@ end in aux 0 end -(* mtyp -> mtyp list *) fun flatten_mtype (MPair (M1, M2)) = maps flatten_mtype [M1, M2] | flatten_mtype (MType (_, Ms)) = maps flatten_mtype Ms | flatten_mtype M = [M] -(* mterm -> bool *) fun precedence_of_mterm (MRaw _) = no_prec | precedence_of_mterm (MAbs _) = 1 | precedence_of_mterm (MApp _) = 2 -(* Proof.context -> mterm -> string *) fun string_for_mterm ctxt = let - (* mtype -> string *) fun mtype_annotation M = "\<^bsup>" ^ string_for_mtype M ^ "\<^esup>" - (* int -> mterm -> string *) fun aux outer_prec m = let val prec = precedence_of_mterm m @@ -158,7 +140,6 @@ end in aux 0 end -(* mterm -> mtyp *) fun mtype_of_mterm (MRaw (_, M)) = M | mtype_of_mterm (MAbs (_, _, M, a, m)) = MFun (M, a, mtype_of_mterm m) | mtype_of_mterm (MApp (m1, _)) = @@ -166,29 +147,24 @@ MFun (_, _, M12) => M12 | M1 => raise MTYPE ("Nitpick_Mono.mtype_of_mterm", [M1], []) -(* mterm -> mterm * mterm list *) fun strip_mcomb (MApp (m1, m2)) = strip_mcomb m1 ||> (fn ms => append ms [m2]) | strip_mcomb m = (m, []) -(* hol_context -> bool -> bool -> typ -> mdata *) fun initial_mdata hol_ctxt binarize no_harmless alpha_T = ({hol_ctxt = hol_ctxt, binarize = binarize, alpha_T = alpha_T, no_harmless = no_harmless, max_fresh = Unsynchronized.ref 0, datatype_mcache = Unsynchronized.ref [], constr_mcache = Unsynchronized.ref []} : mdata) -(* typ -> typ -> bool *) fun could_exist_alpha_subtype alpha_T (T as Type (_, Ts)) = T = alpha_T orelse (not (is_fp_iterator_type T) andalso exists (could_exist_alpha_subtype alpha_T) Ts) | could_exist_alpha_subtype alpha_T T = (T = alpha_T) -(* theory -> typ -> typ -> bool *) fun could_exist_alpha_sub_mtype _ (alpha_T as TFree _) T = could_exist_alpha_subtype alpha_T T | could_exist_alpha_sub_mtype thy alpha_T T = (T = alpha_T orelse is_datatype thy [(NONE, true)] T) -(* mtyp -> bool *) fun exists_alpha_sub_mtype MAlpha = true | exists_alpha_sub_mtype (MFun (M1, _, M2)) = exists exists_alpha_sub_mtype [M1, M2] @@ -197,7 +173,6 @@ | exists_alpha_sub_mtype (MType (_, Ms)) = exists exists_alpha_sub_mtype Ms | exists_alpha_sub_mtype (MRec _) = true -(* mtyp -> bool *) fun exists_alpha_sub_mtype_fresh MAlpha = true | exists_alpha_sub_mtype_fresh (MFun (_, V _, _)) = true | exists_alpha_sub_mtype_fresh (MFun (_, _, M2)) = @@ -208,11 +183,9 @@ exists exists_alpha_sub_mtype_fresh Ms | exists_alpha_sub_mtype_fresh (MRec _) = true -(* string * typ list -> mtyp list -> mtyp *) fun constr_mtype_for_binders z Ms = fold_rev (fn M => curry3 MFun M (S Minus)) Ms (MRec z) -(* ((string * typ list) * mtyp) list -> mtyp list -> mtyp -> mtyp *) fun repair_mtype _ _ MAlpha = MAlpha | repair_mtype cache seen (MFun (M1, a, M2)) = MFun (repair_mtype cache seen M1, a, repair_mtype cache seen M2) @@ -226,30 +199,24 @@ | M => if member (op =) seen M then MType (s, []) else repair_mtype cache (M :: seen) M -(* ((string * typ list) * mtyp) list Unsynchronized.ref -> unit *) fun repair_datatype_mcache cache = let - (* (string * typ list) * mtyp -> unit *) fun repair_one (z, M) = Unsynchronized.change cache (AList.update (op =) (z, repair_mtype (!cache) [] M)) in List.app repair_one (rev (!cache)) end -(* (typ * mtyp) list -> (styp * mtyp) list Unsynchronized.ref -> unit *) fun repair_constr_mcache dtype_cache constr_mcache = let - (* styp * mtyp -> unit *) fun repair_one (x, M) = Unsynchronized.change constr_mcache (AList.update (op =) (x, repair_mtype dtype_cache [] M)) in List.app repair_one (!constr_mcache) end -(* typ -> bool *) fun is_fin_fun_supported_type @{typ prop} = true | is_fin_fun_supported_type @{typ bool} = true | is_fin_fun_supported_type (Type (@{type_name option}, _)) = true | is_fin_fun_supported_type _ = false -(* typ -> typ -> term -> term option *) fun fin_fun_body _ _ (t as @{term False}) = SOME t | fin_fun_body _ _ (t as Const (@{const_name None}, _)) = SOME t | fin_fun_body dom_T ran_T @@ -265,7 +232,6 @@ $ (Const (@{const_name unknown}, ran_T)) $ (t0 $ t1 $ t2 $ t3))) | fin_fun_body _ _ _ = NONE -(* mdata -> bool -> typ -> typ -> mtyp * sign_atom * mtyp *) fun fresh_mfun_for_fun_type (mdata as {max_fresh, ...} : mdata) all_minus T1 T2 = let @@ -277,12 +243,10 @@ else S Minus in (M1, a, M2) end -(* mdata -> bool -> typ -> mtyp *) and fresh_mtype_for_type (mdata as {hol_ctxt as {thy, ...}, binarize, alpha_T, datatype_mcache, constr_mcache, ...}) all_minus = let - (* typ -> mtyp *) fun do_type T = if T = alpha_T then MAlpha @@ -329,21 +293,17 @@ | _ => MType (Refute.string_of_typ T, []) in do_type end -(* mtyp -> mtyp list *) fun prodM_factors (MPair (M1, M2)) = maps prodM_factors [M1, M2] | prodM_factors M = [M] -(* mtyp -> mtyp list * mtyp *) fun curried_strip_mtype (MFun (M1, _, M2)) = curried_strip_mtype M2 |>> append (prodM_factors M1) | curried_strip_mtype M = ([], M) -(* string -> mtyp -> mtyp *) fun sel_mtype_from_constr_mtype s M = let val (arg_Ms, dataM) = curried_strip_mtype M in MFun (dataM, S Minus, case sel_no_from_name s of ~1 => bool_M | n => nth arg_Ms n) end -(* mdata -> styp -> mtyp *) fun mtype_for_constr (mdata as {hol_ctxt = {thy, ...}, alpha_T, constr_mcache, ...}) (x as (_, T)) = if could_exist_alpha_sub_mtype thy alpha_T T then @@ -362,14 +322,11 @@ x |> binarized_and_boxed_constr_for_sel hol_ctxt binarize |> mtype_for_constr mdata |> sel_mtype_from_constr_mtype s -(* literal list -> sign_atom -> sign_atom *) fun resolve_sign_atom lits (V x) = x |> AList.lookup (op =) lits |> Option.map S |> the_default (V x) | resolve_sign_atom _ a = a -(* literal list -> mtyp -> mtyp *) fun resolve_mtype lits = let - (* mtyp -> mtyp *) fun aux MAlpha = MAlpha | aux (MFun (M1, a, M2)) = MFun (aux M1, resolve_sign_atom lits a, aux M2) | aux (MPair Mp) = MPair (pairself aux Mp) @@ -384,24 +341,19 @@ type constraint_set = literal list * comp list * sign_expr list -(* comp_op -> string *) fun string_for_comp_op Eq = "=" | string_for_comp_op Leq = "\" -(* sign_expr -> string *) fun string_for_sign_expr [] = "\" | string_for_sign_expr lits = space_implode " \ " (map string_for_literal lits) -(* literal -> literal list option -> literal list option *) fun do_literal _ NONE = NONE | do_literal (x, sn) (SOME lits) = case AList.lookup (op =) lits x of SOME sn' => if sn = sn' then SOME lits else NONE | NONE => SOME ((x, sn) :: lits) -(* comp_op -> var list -> sign_atom -> sign_atom -> literal list * comp list - -> (literal list * comp list) option *) fun do_sign_atom_comp Eq [] a1 a2 (accum as (lits, comps)) = (case (a1, a2) of (S sn1, S sn2) => if sn1 = sn2 then SOME accum else NONE @@ -419,8 +371,6 @@ | do_sign_atom_comp cmp xs a1 a2 (lits, comps) = SOME (lits, insert (op =) (a1, a2, cmp, xs) comps) -(* comp -> var list -> mtyp -> mtyp -> (literal list * comp list) option - -> (literal list * comp list) option *) fun do_mtype_comp _ _ _ _ NONE = NONE | do_mtype_comp _ _ MAlpha MAlpha accum = accum | do_mtype_comp Eq xs (MFun (M11, a1, M12)) (MFun (M21, a2, M22)) @@ -450,7 +400,6 @@ raise MTYPE ("Nitpick_Mono.do_mtype_comp (" ^ string_for_comp_op cmp ^ ")", [M1, M2], []) -(* comp_op -> mtyp -> mtyp -> constraint_set -> constraint_set *) fun add_mtype_comp cmp M1 M2 ((lits, comps, sexps) : constraint_set) = (print_g ("*** Add " ^ string_for_mtype M1 ^ " " ^ string_for_comp_op cmp ^ " " ^ string_for_mtype M2); @@ -458,12 +407,9 @@ NONE => (print_g "**** Unsolvable"; raise UNSOLVABLE ()) | SOME (lits, comps) => (lits, comps, sexps)) -(* mtyp -> mtyp -> constraint_set -> constraint_set *) val add_mtypes_equal = add_mtype_comp Eq val add_is_sub_mtype = add_mtype_comp Leq -(* sign -> sign_expr -> mtyp -> (literal list * sign_expr list) option - -> (literal list * sign_expr list) option *) fun do_notin_mtype_fv _ _ _ NONE = NONE | do_notin_mtype_fv Minus _ MAlpha accum = accum | do_notin_mtype_fv Plus [] MAlpha _ = NONE @@ -499,7 +445,6 @@ | do_notin_mtype_fv _ _ M _ = raise MTYPE ("Nitpick_Mono.do_notin_mtype_fv", [M], []) -(* sign -> mtyp -> constraint_set -> constraint_set *) fun add_notin_mtype_fv sn M ((lits, comps, sexps) : constraint_set) = (print_g ("*** Add " ^ string_for_mtype M ^ " is " ^ (case sn of Minus => "concrete" | Plus => "complete") ^ "."); @@ -507,31 +452,23 @@ NONE => (print_g "**** Unsolvable"; raise UNSOLVABLE ()) | SOME (lits, sexps) => (lits, comps, sexps)) -(* mtyp -> constraint_set -> constraint_set *) val add_mtype_is_concrete = add_notin_mtype_fv Minus val add_mtype_is_complete = add_notin_mtype_fv Plus val bool_from_minus = true -(* sign -> bool *) fun bool_from_sign Plus = not bool_from_minus | bool_from_sign Minus = bool_from_minus -(* bool -> sign *) fun sign_from_bool b = if b = bool_from_minus then Minus else Plus -(* literal -> PropLogic.prop_formula *) fun prop_for_literal (x, sn) = (not (bool_from_sign sn) ? PropLogic.Not) (PropLogic.BoolVar x) -(* sign_atom -> PropLogic.prop_formula *) fun prop_for_sign_atom_eq (S sn', sn) = if sn = sn' then PropLogic.True else PropLogic.False | prop_for_sign_atom_eq (V x, sn) = prop_for_literal (x, sn) -(* sign_expr -> PropLogic.prop_formula *) fun prop_for_sign_expr xs = PropLogic.exists (map prop_for_literal xs) -(* var list -> sign -> PropLogic.prop_formula *) fun prop_for_exists_eq xs sn = PropLogic.exists (map (fn x => prop_for_literal (x, sn)) xs) -(* comp -> PropLogic.prop_formula *) fun prop_for_comp (a1, a2, Eq, []) = PropLogic.SAnd (prop_for_comp (a1, a2, Leq, []), prop_for_comp (a2, a1, Leq, [])) @@ -541,7 +478,6 @@ | prop_for_comp (a1, a2, cmp, xs) = PropLogic.SOr (prop_for_exists_eq xs Minus, prop_for_comp (a1, a2, cmp, [])) -(* var -> (int -> bool option) -> literal list -> literal list *) fun literals_from_assignments max_var assigns lits = fold (fn x => fn accum => if AList.defined (op =) lits x then @@ -550,18 +486,15 @@ SOME b => (x, sign_from_bool b) :: accum | NONE => accum) (max_var downto 1) lits -(* comp -> string *) fun string_for_comp (a1, a2, cmp, xs) = string_for_sign_atom a1 ^ " " ^ string_for_comp_op cmp ^ subscript_string_for_vars " \ " xs ^ " " ^ string_for_sign_atom a2 -(* literal list -> comp list -> sign_expr list -> unit *) fun print_problem lits comps sexps = print_g ("*** Problem:\n" ^ cat_lines (map string_for_literal lits @ map string_for_comp comps @ map string_for_sign_expr sexps)) -(* literal list -> unit *) fun print_solution lits = let val (pos, neg) = List.partition (curry (op =) Plus o snd) lits in print_g ("*** Solution:\n" ^ @@ -569,10 +502,8 @@ "-: " ^ commas (map (string_for_var o fst) neg)) end -(* var -> constraint_set -> literal list option *) fun solve max_var (lits, comps, sexps) = let - (* (int -> bool option) -> literal list option *) fun do_assigns assigns = SOME (literals_from_assignments max_var assigns lits |> tap print_solution) @@ -607,27 +538,21 @@ val initial_gamma = {bound_Ts = [], bound_Ms = [], frees = [], consts = []} -(* typ -> mtyp -> mtype_context -> mtype_context *) fun push_bound T M {bound_Ts, bound_Ms, frees, consts} = {bound_Ts = T :: bound_Ts, bound_Ms = M :: bound_Ms, frees = frees, consts = consts} -(* mtype_context -> mtype_context *) fun pop_bound {bound_Ts, bound_Ms, frees, consts} = {bound_Ts = tl bound_Ts, bound_Ms = tl bound_Ms, frees = frees, consts = consts} handle List.Empty => initial_gamma (* FIXME: needed? *) -(* mdata -> term -> accumulator -> mterm * accumulator *) fun consider_term (mdata as {hol_ctxt as {thy, ctxt, stds, fast_descrs, def_table, ...}, alpha_T, max_fresh, ...}) = let - (* typ -> mtyp *) val mtype_for = fresh_mtype_for_type mdata false - (* mtyp -> mtyp *) fun plus_set_mtype_for_dom M = MFun (M, S (if exists_alpha_sub_mtype M then Plus else Minus), bool_M) - (* typ -> accumulator -> mterm * accumulator *) fun do_all T (gamma, cset) = let val abs_M = mtype_for (domain_type (domain_type T)) @@ -656,7 +581,6 @@ let val set_T = domain_type T val set_M = mtype_for set_T - (* typ -> mtyp *) fun custom_mtype_for (T as Type (@{type_name fun}, [T1, T2])) = if T = set_T then set_M else MFun (custom_mtype_for T1, S Minus, custom_mtype_for T2) @@ -664,20 +588,16 @@ in (custom_mtype_for T, (gamma, cset |> add_mtype_is_concrete set_M)) end - (* typ -> accumulator -> mtyp * accumulator *) fun do_pair_constr T accum = case mtype_for (nth_range_type 2 T) of M as MPair (a_M, b_M) => (MFun (a_M, S Minus, MFun (b_M, S Minus, M)), accum) | M => raise MTYPE ("Nitpick_Mono.consider_term.do_pair_constr", [M], []) - (* int -> typ -> accumulator -> mtyp * accumulator *) fun do_nth_pair_sel n T = case mtype_for (domain_type T) of M as MPair (a_M, b_M) => pair (MFun (M, S Minus, if n = 0 then a_M else b_M)) | M => raise MTYPE ("Nitpick_Mono.consider_term.do_nth_pair_sel", [M], []) - (* term -> string -> typ -> term -> term -> term -> accumulator - -> mterm * accumulator *) fun do_bounded_quantifier t0 abs_s abs_T connective_t bound_t body_t accum = let val abs_M = mtype_for abs_T @@ -697,7 +617,6 @@ MApp (bound_m, MRaw (Bound 0, M1))), body_m))), accum) end - (* term -> accumulator -> mterm * accumulator *) and do_term t (accum as (gamma as {bound_Ts, bound_Ms, frees, consts}, cset)) = (case t of @@ -747,7 +666,6 @@ | @{const_name converse} => let val x = Unsynchronized.inc max_fresh - (* typ -> mtyp *) fun mtype_for_set T = MFun (mtype_for (domain_type T), V x, bool_M) val ab_set_M = domain_type T |> mtype_for_set @@ -757,7 +675,6 @@ | @{const_name rel_comp} => let val x = Unsynchronized.inc max_fresh - (* typ -> mtyp *) fun mtype_for_set T = MFun (mtype_for (domain_type T), V x, bool_M) val bc_set_M = domain_type T |> mtype_for_set @@ -783,7 +700,6 @@ | @{const_name Sigma} => let val x = Unsynchronized.inc max_fresh - (* typ -> mtyp *) fun mtype_for_set T = MFun (mtype_for (domain_type T), V x, bool_M) val a_set_T = domain_type T @@ -891,14 +807,12 @@ string_for_mterm ctxt m)) in do_term end -(* int -> mtyp -> accumulator -> accumulator *) fun force_minus_funs 0 _ = I | force_minus_funs n (M as MFun (M1, _, M2)) = add_mtypes_equal M (MFun (M1, S Minus, M2)) #> force_minus_funs (n - 1) M2 | force_minus_funs _ M = raise MTYPE ("Nitpick_Mono.force_minus_funs", [M], []) -(* mdata -> bool -> styp -> term -> term -> mterm * accumulator *) fun consider_general_equals mdata def (x as (_, T)) t1 t2 accum = let val (m1, accum) = consider_term mdata t1 accum @@ -918,17 +832,12 @@ accum) end -(* mdata -> sign -> term -> accumulator -> mterm * accumulator *) fun consider_general_formula (mdata as {hol_ctxt = {ctxt, ...}, ...}) = let - (* typ -> mtyp *) val mtype_for = fresh_mtype_for_type mdata false - (* term -> accumulator -> mterm * accumulator *) val do_term = consider_term mdata - (* sign -> term -> accumulator -> mterm * accumulator *) fun do_formula sn t accum = let - (* styp -> string -> typ -> term -> mterm * accumulator *) fun do_quantifier (quant_x as (quant_s, _)) abs_s abs_T body_t = let val abs_M = mtype_for abs_T @@ -944,7 +853,6 @@ MAbs (abs_s, abs_T, abs_M, S Minus, body_m)), accum |>> pop_bound) end - (* styp -> term -> term -> mterm * accumulator *) fun do_equals x t1 t2 = case sn of Plus => do_term t accum @@ -1005,7 +913,6 @@ [@{const_name ord_class.less}, @{const_name ord_class.less_eq}] val bounteous_consts = [@{const_name bisim}] -(* mdata -> term -> bool *) fun is_harmless_axiom ({no_harmless = true, ...} : mdata) _ = false | is_harmless_axiom {hol_ctxt = {thy, stds, fast_descrs, ...}, ...} t = Term.add_consts t [] @@ -1013,12 +920,10 @@ |> (forall (member (op =) harmless_consts o original_name o fst) orf exists (member (op =) bounteous_consts o fst)) -(* mdata -> term -> accumulator -> mterm * accumulator *) fun consider_nondefinitional_axiom mdata t = if is_harmless_axiom mdata t then pair (MRaw (t, dummy_M)) else consider_general_formula mdata Plus t -(* mdata -> term -> accumulator -> mterm * accumulator *) fun consider_definitional_axiom (mdata as {hol_ctxt = {thy, ...}, ...}) t = if not (is_constr_pattern_formula thy t) then consider_nondefinitional_axiom mdata t @@ -1026,11 +931,8 @@ pair (MRaw (t, dummy_M)) else let - (* typ -> mtyp *) val mtype_for = fresh_mtype_for_type mdata false - (* term -> accumulator -> mterm * accumulator *) val do_term = consider_term mdata - (* term -> string -> typ -> term -> accumulator -> mterm * accumulator *) fun do_all quant_t abs_s abs_T body_t accum = let val abs_M = mtype_for abs_T @@ -1043,7 +945,6 @@ MAbs (abs_s, abs_T, abs_M, S Minus, body_m)), accum |>> pop_bound) end - (* term -> term -> term -> accumulator -> mterm * accumulator *) and do_conjunction t0 t1 t2 accum = let val (m1, accum) = do_formula t1 accum @@ -1058,7 +959,6 @@ in (MApp (MApp (MRaw (t0, mtype_for (fastype_of t0)), m1), m2), accum) end - (* term -> accumulator -> accumulator *) and do_formula t accum = case t of (t0 as Const (@{const_name all}, _)) $ Abs (s1, T1, t1) => @@ -1083,22 +983,17 @@ \do_formula", [t]) in do_formula t end -(* Proof.context -> literal list -> term -> mtyp -> string *) fun string_for_mtype_of_term ctxt lits t M = Syntax.string_of_term ctxt t ^ " : " ^ string_for_mtype (resolve_mtype lits M) -(* theory -> literal list -> mtype_context -> unit *) fun print_mtype_context ctxt lits ({frees, consts, ...} : mtype_context) = map (fn (x, M) => string_for_mtype_of_term ctxt lits (Free x) M) frees @ map (fn (x, M) => string_for_mtype_of_term ctxt lits (Const x) M) consts |> cat_lines |> print_g -(* ('a -> 'b -> 'c * 'd) -> 'a -> 'c list * 'b -> 'c list * 'd *) fun amass f t (ms, accum) = let val (m, accum) = f t accum in (m :: ms, accum) end -(* string -> bool -> hol_context -> bool -> typ -> term list * term list - -> (literal list * (mterm list * mterm list) * (styp * mtyp) list) option *) fun infer which no_harmless (hol_ctxt as {ctxt, ...}) binarize alpha_T (nondef_ts, def_ts) = let @@ -1127,15 +1022,11 @@ | MTERM (loc, ms) => raise BAD (loc, commas (map (string_for_mterm ctxt) ms)) -(* hol_context -> bool -> typ -> term list * term list -> bool *) val formulas_monotonic = is_some oooo infer "Monotonicity" false -(* typ -> typ -> styp *) fun fin_fun_constr T1 T2 = (@{const_name FinFun}, (T1 --> T2) --> Type (@{type_name fin_fun}, [T1, T2])) -(* hol_context -> bool -> (typ option * bool option) list -> typ - -> term list * term list -> term list * term list *) fun finitize_funs (hol_ctxt as {thy, stds, fast_descrs, constr_cache, ...}) binarize finitizes alpha_T tsp = case infer "Finiteness" true hol_ctxt binarize alpha_T tsp of @@ -1144,12 +1035,10 @@ tsp else let - (* typ -> sign_atom -> bool *) fun should_finitize T a = case triple_lookup (type_match thy) finitizes T of SOME (SOME false) => false | _ => resolve_sign_atom lits a = S Plus - (* typ -> mtyp -> typ *) fun type_from_mtype T M = case (M, T) of (MAlpha, _) => T @@ -1161,12 +1050,10 @@ | (MType _, _) => T | _ => raise MTYPE ("Nitpick_Mono.finitize_funs.type_from_mtype", [M], [T]) - (* styp -> styp *) fun finitize_constr (x as (s, T)) = (s, case AList.lookup (op =) constr_mtypes x of SOME M => type_from_mtype T M | NONE => T) - (* typ list -> mterm -> term *) fun term_from_mterm Ts m = case m of MRaw (t, M) => diff -r 76d5fd5a45fb -r ff5f88702590 src/HOL/Tools/Nitpick/nitpick_nut.ML --- a/src/HOL/Tools/Nitpick/nitpick_nut.ML Sat Apr 24 16:17:30 2010 +0200 +++ b/src/HOL/Tools/Nitpick/nitpick_nut.ML Sat Apr 24 16:33:01 2010 +0200 @@ -205,7 +205,6 @@ exception NUT of string * nut list -(* cst -> string *) fun string_for_cst Unity = "Unity" | string_for_cst False = "False" | string_for_cst True = "True" @@ -225,7 +224,6 @@ | string_for_cst NatToInt = "NatToInt" | string_for_cst IntToNat = "IntToNat" -(* op1 -> string *) fun string_for_op1 Not = "Not" | string_for_op1 Finite = "Finite" | string_for_op1 Converse = "Converse" @@ -237,7 +235,6 @@ | string_for_op1 Second = "Second" | string_for_op1 Cast = "Cast" -(* op2 -> string *) fun string_for_op2 All = "All" | string_for_op2 Exist = "Exist" | string_for_op2 Or = "Or" @@ -258,14 +255,11 @@ | string_for_op2 Apply = "Apply" | string_for_op2 Lambda = "Lambda" -(* op3 -> string *) fun string_for_op3 Let = "Let" | string_for_op3 If = "If" -(* int -> Proof.context -> nut -> string *) fun basic_string_for_nut indent ctxt u = let - (* nut -> string *) val sub = basic_string_for_nut (indent + 1) ctxt in (if indent = 0 then "" else "\n" ^ implode (replicate (2 * indent) " ")) ^ @@ -313,17 +307,14 @@ Syntax.string_of_typ ctxt T ^ " " ^ string_for_rep R) ^ ")" end -(* Proof.context -> nut -> string *) val string_for_nut = basic_string_for_nut 0 -(* nut -> bool *) fun inline_nut (Op1 _) = false | inline_nut (Op2 _) = false | inline_nut (Op3 _) = false | inline_nut (Tuple (_, _, us)) = forall inline_nut us | inline_nut _ = true -(* nut -> typ *) fun type_of (Cst (_, T, _)) = T | type_of (Op1 (_, T, _, _)) = T | type_of (Op2 (_, T, _, _, _)) = T @@ -338,7 +329,6 @@ | type_of (RelReg (_, T, _)) = T | type_of (FormulaReg (_, T, _)) = T -(* nut -> rep *) fun rep_of (Cst (_, _, R)) = R | rep_of (Op1 (_, _, R, _)) = R | rep_of (Op2 (_, _, R, _, _)) = R @@ -353,7 +343,6 @@ | rep_of (RelReg (_, _, R)) = R | rep_of (FormulaReg (_, _, R)) = R -(* nut -> string *) fun nickname_of (BoundName (_, _, _, nick)) = nick | nickname_of (FreeName (s, _, _)) = s | nickname_of (ConstName (s, _, _)) = s @@ -361,7 +350,6 @@ | nickname_of (FreeRel (_, _, _, nick)) = nick | nickname_of u = raise NUT ("Nitpick_Nut.nickname_of", [u]) -(* nut -> bool *) fun is_skolem_name u = space_explode name_sep (nickname_of u) |> exists (String.isPrefix skolem_prefix) @@ -369,11 +357,9 @@ fun is_eval_name u = String.isPrefix eval_prefix (nickname_of u) handle NUT ("Nitpick_Nut.nickname_of", _) => false -(* cst -> nut -> bool *) fun is_Cst cst (Cst (cst', _, _)) = (cst = cst') | is_Cst _ _ = false -(* (nut -> 'a -> 'a) -> nut -> 'a -> 'a *) fun fold_nut f u = case u of Op1 (_, _, _, u1) => fold_nut f u1 @@ -382,7 +368,6 @@ | Tuple (_, _, us) => fold (fold_nut f) us | Construct (us', _, _, us) => fold (fold_nut f) us #> fold (fold_nut f) us' | _ => f u -(* (nut -> nut) -> nut -> nut *) fun map_nut f u = case u of Op1 (oper, T, R, u1) => Op1 (oper, T, R, map_nut f u1) @@ -394,7 +379,6 @@ Construct (map (map_nut f) us', T, R, map (map_nut f) us) | _ => f u -(* nut * nut -> order *) fun name_ord (BoundName (j1, _, _, _), BoundName (j2, _, _, _)) = int_ord (j1, j2) | name_ord (BoundName _, _) = LESS @@ -411,24 +395,19 @@ | ord => ord) | name_ord (u1, u2) = raise NUT ("Nitpick_Nut.name_ord", [u1, u2]) -(* nut -> nut -> int *) fun num_occs_in_nut needle_u stack_u = fold_nut (fn u => if u = needle_u then Integer.add 1 else I) stack_u 0 -(* nut -> nut -> bool *) val is_subterm_of = not_equal 0 oo num_occs_in_nut -(* nut -> nut -> nut -> nut *) fun substitute_in_nut needle_u needle_u' = map_nut (fn u => if u = needle_u then needle_u' else u) -(* nut -> nut list * nut list -> nut list * nut list *) val add_free_and_const_names = fold_nut (fn u => case u of FreeName _ => apfst (insert (op =) u) | ConstName _ => apsnd (insert (op =) u) | _ => I) -(* nut -> rep -> nut *) fun modify_name_rep (BoundName (j, T, _, nick)) R = BoundName (j, T, R, nick) | modify_name_rep (FreeName (s, T, _)) R = FreeName (s, T, R) | modify_name_rep (ConstName (s, T, _)) R = ConstName (s, T, R) @@ -436,18 +415,15 @@ structure NameTable = Table(type key = nut val ord = name_ord) -(* 'a NameTable.table -> nut -> 'a *) fun the_name table name = case NameTable.lookup table name of SOME u => u | NONE => raise NUT ("Nitpick_Nut.the_name", [name]) -(* nut NameTable.table -> nut -> KK.n_ary_index *) fun the_rel table name = case the_name table name of FreeRel (x, _, _, _) => x | u => raise NUT ("Nitpick_Nut.the_rel", [u]) -(* typ * term -> typ * term *) fun mk_fst (_, Const (@{const_name Pair}, T) $ t1 $ _) = (domain_type T, t1) | mk_fst (T, t) = let val res_T = fst (HOLogic.dest_prodT T) in @@ -459,23 +435,17 @@ let val res_T = snd (HOLogic.dest_prodT T) in (res_T, Const (@{const_name snd}, T --> res_T) $ t) end -(* typ * term -> (typ * term) list *) fun factorize (z as (Type (@{type_name "*"}, _), _)) = maps factorize [mk_fst z, mk_snd z] | factorize z = [z] -(* hol_context -> op2 -> term -> nut *) fun nut_from_term (hol_ctxt as {thy, stds, fast_descrs, ...}) eq = let - (* string list -> typ list -> term -> nut *) fun aux eq ss Ts t = let - (* term -> nut *) val sub = aux Eq ss Ts val sub' = aux eq ss Ts - (* string -> typ -> term -> nut *) fun sub_abs s T = aux eq (s :: ss) (T :: Ts) - (* typ -> term -> term -> nut *) fun sub_equals T t1 t2 = let val (binder_Ts, body_T) = strip_type (domain_type T) @@ -498,7 +468,6 @@ else Op2 (eq, bool_T, Any, aux Eq ss Ts t1, aux Eq ss Ts t2) end - (* op2 -> string -> typ -> term -> nut *) fun do_quantifier quant s T t1 = let val bound_u = BoundName (length Ts, T, Any, s) @@ -509,21 +478,18 @@ else body_u end - (* term -> term list -> nut *) fun do_apply t0 ts = let val (ts', t2) = split_last ts val t1 = list_comb (t0, ts') val T1 = fastype_of1 (Ts, t1) in Op2 (Apply, range_type T1, Any, sub t1, sub t2) end - (* op2 -> string -> styp -> term -> nut *) fun do_description_operator oper undef_s (x as (_, T)) t1 = if fast_descrs then Op2 (oper, range_type T, Any, sub t1, sub (Const (undef_s, range_type T))) else do_apply (Const x) [t1] - (* styp -> term list -> nut *) fun do_construct (x as (_, T)) ts = case num_binder_types T - length ts of 0 => Construct (map ((fn (s', T') => ConstName (s', T', Any)) @@ -716,21 +682,16 @@ end in aux eq [] [] end -(* scope -> typ -> rep *) fun rep_for_abs_fun scope T = let val (R1, R2) = best_non_opt_symmetric_reps_for_fun_type scope T in Func (R1, (card_of_rep R1 <> card_of_rep R2 ? Opt) R2) end -(* scope -> nut -> nut list * rep NameTable.table - -> nut list * rep NameTable.table *) fun choose_rep_for_free_var scope v (vs, table) = let val R = best_non_opt_set_rep_for_type scope (type_of v) val v = modify_name_rep v R in (v :: vs, NameTable.update (v, R) table) end -(* scope -> bool -> nut -> nut list * rep NameTable.table - -> nut list * rep NameTable.table *) fun choose_rep_for_const (scope as {hol_ctxt = {thy, ...}, ...}) all_exact v (vs, table) = let @@ -756,16 +717,11 @@ val v = modify_name_rep v R in (v :: vs, NameTable.update (v, R) table) end -(* scope -> nut list -> rep NameTable.table -> nut list * rep NameTable.table *) fun choose_reps_for_free_vars scope vs table = fold (choose_rep_for_free_var scope) vs ([], table) -(* scope -> bool -> nut list -> rep NameTable.table - -> nut list * rep NameTable.table *) fun choose_reps_for_consts scope all_exact vs table = fold (choose_rep_for_const scope all_exact) vs ([], table) -(* scope -> styp -> int -> nut list * rep NameTable.table - -> nut list * rep NameTable.table *) fun choose_rep_for_nth_sel_for_constr (scope as {hol_ctxt, binarize, ...}) (x as (_, T)) n (vs, table) = let @@ -778,21 +734,15 @@ best_opt_set_rep_for_type scope T' |> unopt_rep val v = ConstName (s', T', R') in (v :: vs, NameTable.update (v, R') table) end -(* scope -> styp -> nut list * rep NameTable.table - -> nut list * rep NameTable.table *) fun choose_rep_for_sels_for_constr scope (x as (_, T)) = fold_rev (choose_rep_for_nth_sel_for_constr scope x) (~1 upto num_sels_for_constr_type T - 1) -(* scope -> dtype_spec -> nut list * rep NameTable.table - -> nut list * rep NameTable.table *) fun choose_rep_for_sels_of_datatype _ ({deep = false, ...} : dtype_spec) = I | choose_rep_for_sels_of_datatype scope {constrs, ...} = fold_rev (choose_rep_for_sels_for_constr scope o #const) constrs -(* scope -> rep NameTable.table -> nut list * rep NameTable.table *) fun choose_reps_for_all_sels (scope as {datatypes, ...}) = fold (choose_rep_for_sels_of_datatype scope) datatypes o pair [] -(* scope -> nut -> rep NameTable.table -> rep NameTable.table *) fun choose_rep_for_bound_var scope v table = let val R = best_one_rep_for_type scope (type_of v) in NameTable.update (v, R) table @@ -802,7 +752,6 @@ three-valued logic, it would evaluate to a unrepresentable value ("Unrep") according to the HOL semantics. For example, "Suc n" is constructive if "n" is representable or "Unrep", because unknown implies "Unrep". *) -(* nut -> bool *) fun is_constructive u = is_Cst Unrep u orelse (not (is_fun_type (type_of u)) andalso not (is_opt_rep (rep_of u))) orelse @@ -817,14 +766,11 @@ | Construct (_, _, _, us) => forall is_constructive us | _ => false -(* nut -> nut *) fun optimize_unit u = if rep_of u = Unit then Cst (Unity, type_of u, Unit) else u -(* typ -> rep -> nut *) fun unknown_boolean T R = Cst (case R of Formula Pos => False | Formula Neg => True | _ => Unknown, T, R) -(* nut -> bool *) fun is_fully_representable_set u = not (is_opt_rep (rep_of u)) andalso case u of @@ -835,7 +781,6 @@ forall is_fully_representable_set [u1, u2] | _ => false -(* op1 -> typ -> rep -> nut -> nut *) fun s_op1 oper T R u1 = ((if oper = Not then if is_Cst True u1 then Cst (False, T, R) @@ -845,7 +790,6 @@ raise SAME ()) handle SAME () => Op1 (oper, T, R, u1)) |> optimize_unit -(* op2 -> typ -> rep -> nut -> nut -> nut *) fun s_op2 oper T R u1 u2 = ((case oper of Or => @@ -886,7 +830,6 @@ | _ => raise SAME ()) handle SAME () => Op2 (oper, T, R, u1, u2)) |> optimize_unit -(* op3 -> typ -> rep -> nut -> nut -> nut -> nut *) fun s_op3 oper T R u1 u2 u3 = ((case oper of Let => @@ -897,12 +840,10 @@ | _ => raise SAME ()) handle SAME () => Op3 (oper, T, R, u1, u2, u3)) |> optimize_unit -(* typ -> rep -> nut list -> nut *) fun s_tuple T R us = (if exists (is_Cst Unrep) us then Cst (Unrep, T, R) else Tuple (T, R, us)) |> optimize_unit -(* theory -> nut -> nut *) fun optimize_nut u = case u of Op1 (oper, T, R, u1) => s_op1 oper T R (optimize_nut u1) @@ -914,35 +855,26 @@ | Construct (us', T, R, us) => Construct (us', T, R, map optimize_nut us) | _ => optimize_unit u -(* (nut -> 'a) -> nut -> 'a list *) fun untuple f (Tuple (_, _, us)) = maps (untuple f) us | untuple f u = if rep_of u = Unit then [] else [f u] -(* scope -> bool -> rep NameTable.table -> bool -> nut -> nut *) fun choose_reps_in_nut (scope as {card_assigns, bits, datatypes, ofs, ...}) unsound table def = let val bool_atom_R = Atom (2, offset_of_type ofs bool_T) - (* polarity -> bool -> rep *) fun bool_rep polar opt = if polar = Neut andalso opt then Opt bool_atom_R else Formula polar - (* nut -> nut -> nut *) fun triad u1 u2 = s_op2 Triad (type_of u1) (Opt bool_atom_R) u1 u2 - (* (polarity -> nut) -> nut *) fun triad_fn f = triad (f Pos) (f Neg) - (* rep NameTable.table -> bool -> polarity -> nut -> nut -> nut *) fun unrepify_nut_in_nut table def polar needle_u = let val needle_T = type_of needle_u in substitute_in_nut needle_u (Cst (if is_fun_type needle_T then Unknown else Unrep, needle_T, Any)) #> aux table def polar end - (* rep NameTable.table -> bool -> polarity -> nut -> nut *) and aux table def polar u = let - (* bool -> polarity -> nut -> nut *) val gsub = aux table - (* nut -> nut *) val sub = gsub false Neut in case u of @@ -1050,15 +982,12 @@ let val u1' = sub u1 val u2' = sub u2 - (* unit -> nut *) fun non_opt_case () = s_op2 Eq T (Formula polar) u1' u2' - (* unit -> nut *) fun opt_opt_case () = if polar = Neut then triad_fn (fn polar => s_op2 Eq T (Formula polar) u1' u2') else non_opt_case () - (* nut -> nut *) fun hybrid_case u = (* hackish optimization *) if is_constructive u then s_op2 Eq T (Formula Neut) u1' u2' @@ -1275,35 +1204,27 @@ |> optimize_unit in aux table def Pos end -(* int -> KK.n_ary_index list -> KK.n_ary_index list - -> int * KK.n_ary_index list *) fun fresh_n_ary_index n [] ys = (0, (n, 1) :: ys) | fresh_n_ary_index n ((m, j) :: xs) ys = if m = n then (j, ys @ ((m, j + 1) :: xs)) else fresh_n_ary_index n xs ((m, j) :: ys) -(* int -> name_pool -> int * name_pool *) fun fresh_rel n {rels, vars, formula_reg, rel_reg} = let val (j, rels') = fresh_n_ary_index n rels [] in (j, {rels = rels', vars = vars, formula_reg = formula_reg, rel_reg = rel_reg}) end -(* int -> name_pool -> int * name_pool *) fun fresh_var n {rels, vars, formula_reg, rel_reg} = let val (j, vars') = fresh_n_ary_index n vars [] in (j, {rels = rels, vars = vars', formula_reg = formula_reg, rel_reg = rel_reg}) end -(* int -> name_pool -> int * name_pool *) fun fresh_formula_reg {rels, vars, formula_reg, rel_reg} = (formula_reg, {rels = rels, vars = vars, formula_reg = formula_reg + 1, rel_reg = rel_reg}) -(* int -> name_pool -> int * name_pool *) fun fresh_rel_reg {rels, vars, formula_reg, rel_reg} = (rel_reg, {rels = rels, vars = vars, formula_reg = formula_reg, rel_reg = rel_reg + 1}) -(* nut -> nut list * name_pool * nut NameTable.table - -> nut list * name_pool * nut NameTable.table *) fun rename_plain_var v (ws, pool, table) = let val is_formula = (rep_of v = Formula Neut) @@ -1313,7 +1234,6 @@ val w = constr (j, type_of v, rep_of v) in (w :: ws, pool, NameTable.update (v, w) table) end -(* typ -> rep -> nut list -> nut *) fun shape_tuple (T as Type (@{type_name "*"}, [T1, T2])) (R as Struct [R1, R2]) us = let val arity1 = arity_of_rep R1 in @@ -1327,8 +1247,6 @@ | shape_tuple T Unit [] = Cst (Unity, T, Unit) | shape_tuple _ _ us = raise NUT ("Nitpick_Nut.shape_tuple", us) -(* bool -> nut -> nut list * name_pool * nut NameTable.table - -> nut list * name_pool * nut NameTable.table *) fun rename_n_ary_var rename_free v (ws, pool, table) = let val T = type_of v @@ -1370,15 +1288,12 @@ in (w :: ws, pool, NameTable.update (v, w) table) end end -(* nut list -> name_pool -> nut NameTable.table - -> nut list * name_pool * nut NameTable.table *) fun rename_free_vars vs pool table = let val vs = filter (not_equal Unit o rep_of) vs val (vs, pool, table) = fold (rename_n_ary_var true) vs ([], pool, table) in (rev vs, pool, table) end -(* name_pool -> nut NameTable.table -> nut -> nut *) fun rename_vars_in_nut pool table u = case u of Cst _ => u diff -r 76d5fd5a45fb -r ff5f88702590 src/HOL/Tools/Nitpick/nitpick_peephole.ML --- a/src/HOL/Tools/Nitpick/nitpick_peephole.ML Sat Apr 24 16:17:30 2010 +0200 +++ b/src/HOL/Tools/Nitpick/nitpick_peephole.ML Sat Apr 24 16:33:01 2010 +0200 @@ -125,40 +125,31 @@ val lcm_rel = (3, 11) val norm_frac_rel = (4, 0) -(* int -> bool -> rel_expr *) fun atom_for_bool j0 = Atom o Integer.add j0 o int_from_bool -(* bool -> formula *) fun formula_for_bool b = if b then True else False -(* int * int -> int -> int *) fun atom_for_nat (k, j0) n = if n < 0 orelse n >= k then ~1 else n + j0 -(* int -> int *) fun min_int_for_card k = ~k div 2 + 1 fun max_int_for_card k = k div 2 -(* int * int -> int -> int *) fun int_for_atom (k, j0) j = let val j = j - j0 in if j <= max_int_for_card k then j else j - k end fun atom_for_int (k, j0) n = if n < min_int_for_card k orelse n > max_int_for_card k then ~1 else if n < 0 then n + k + j0 else n + j0 -(* int -> int -> bool *) fun is_twos_complement_representable bits n = let val max = reasonable_power 2 bits in n >= ~ max andalso n < max end -(* rel_expr -> bool *) fun is_none_product (Product (r1, r2)) = is_none_product r1 orelse is_none_product r2 | is_none_product None = true | is_none_product _ = false -(* rel_expr -> bool *) fun is_one_rel_expr (Atom _) = true | is_one_rel_expr (AtomSeq (1, _)) = true | is_one_rel_expr (Var _) = true | is_one_rel_expr _ = false -(* rel_expr -> bool *) fun inline_rel_expr (Product (r1, r2)) = inline_rel_expr r1 andalso inline_rel_expr r2 | inline_rel_expr Iden = true @@ -172,7 +163,6 @@ | inline_rel_expr (RelReg _) = true | inline_rel_expr _ = false -(* rel_expr -> rel_expr -> bool option *) fun rel_expr_equal None (Atom _) = SOME false | rel_expr_equal None (AtomSeq (k, _)) = SOME (k = 0) | rel_expr_equal (Atom _) None = SOME false @@ -183,7 +173,6 @@ | rel_expr_equal (AtomSeq x1) (AtomSeq x2) = SOME (x1 = x2) | rel_expr_equal r1 r2 = if r1 = r2 then SOME true else NONE -(* rel_expr -> rel_expr -> bool option *) fun rel_expr_intersects (Atom j1) (Atom j2) = SOME (j1 = j2) | rel_expr_intersects (Atom j) (AtomSeq (k, j0)) = SOME (j < j0 + k) | rel_expr_intersects (AtomSeq (k, j0)) (Atom j) = SOME (j < j0 + k) @@ -192,30 +181,23 @@ | rel_expr_intersects r1 r2 = if is_none_product r1 orelse is_none_product r2 then SOME false else NONE -(* int -> rel_expr *) fun empty_n_ary_rel 0 = raise ARG ("Nitpick_Peephole.empty_n_ary_rel", "0") | empty_n_ary_rel n = funpow (n - 1) (curry Product None) None -(* decl -> rel_expr *) fun decl_one_set (DeclOne (_, r)) = r | decl_one_set _ = raise ARG ("Nitpick_Peephole.decl_one_set", "not \"DeclOne\"") -(* int_expr -> bool *) fun is_Num (Num _) = true | is_Num _ = false -(* int_expr -> int *) fun dest_Num (Num k) = k | dest_Num _ = raise ARG ("Nitpick_Peephole.dest_Num", "not \"Num\"") -(* int -> int -> int_expr list *) fun num_seq j0 n = map Num (index_seq j0 n) -(* rel_expr -> rel_expr -> bool *) fun occurs_in_union r (Union (r1, r2)) = occurs_in_union r r1 orelse occurs_in_union r r2 | occurs_in_union r r' = (r = r') -(* rel_expr -> rel_expr -> rel_expr *) fun s_and True f2 = f2 | s_and False _ = False | s_and f1 True = f1 @@ -258,18 +240,13 @@ (* We assume throughout that Kodkod variables have a "one" constraint. This is always the case if Kodkod's skolemization is disabled. *) -(* bool -> int -> int -> int -> kodkod_constrs *) fun kodkod_constrs optim nat_card int_card main_j0 = let - (* bool -> int *) val from_bool = atom_for_bool main_j0 - (* int -> rel_expr *) fun from_nat n = Atom (n + main_j0) - (* int -> int *) fun to_nat j = j - main_j0 val to_int = int_for_atom (int_card, main_j0) - (* decl list -> formula -> formula *) fun s_all _ True = True | s_all _ False = False | s_all [] f = f @@ -281,12 +258,10 @@ | s_exist ds (Exist (ds', f)) = Exist (ds @ ds', f) | s_exist ds f = Exist (ds, f) - (* expr_assign list -> formula -> formula *) fun s_formula_let _ True = True | s_formula_let _ False = False | s_formula_let assigns f = FormulaLet (assigns, f) - (* formula -> formula *) fun s_not True = False | s_not False = True | s_not (All (ds, f)) = Exist (ds, s_not f) @@ -299,7 +274,6 @@ | s_not (Some r) = No r | s_not f = Not f - (* formula -> formula -> formula *) fun s_or True _ = True | s_or False f2 = f2 | s_or _ True = True @@ -316,7 +290,6 @@ | s_implies f1 False = s_not f1 | s_implies f1 f2 = if f1 = f2 then True else Implies (f1, f2) - (* formula -> formula -> formula -> formula *) fun s_formula_if True f2 _ = f2 | s_formula_if False _ f3 = f3 | s_formula_if f1 True f3 = s_or f1 f3 @@ -325,7 +298,6 @@ | s_formula_if f1 f2 False = s_and f1 f2 | s_formula_if f f1 f2 = FormulaIf (f, f1, f2) - (* rel_expr -> int_expr list -> rel_expr *) fun s_project r is = (case r of Project (r1, is') => @@ -340,7 +312,6 @@ else Project (r, is) end - (* (rel_expr -> formula) -> rel_expr -> formula *) fun s_xone xone r = if is_one_rel_expr r then True @@ -348,7 +319,6 @@ 1 => xone r | arity => foldl1 And (map (xone o s_project r o single o Num) (index_seq 0 arity)) - (* rel_expr -> formula *) fun s_no None = True | s_no (Product (r1, r2)) = s_or (s_no r1) (s_no r2) | s_no (Intersect (Closure (Rel x), Iden)) = Acyclic x @@ -362,13 +332,11 @@ | s_some (Product (r1, r2)) = s_and (s_some r1) (s_some r2) | s_some r = if is_one_rel_expr r then True else Some r - (* rel_expr -> rel_expr *) fun s_not3 (Atom j) = Atom (if j = main_j0 then j + 1 else j - 1) | s_not3 (r as Join (r1, r2)) = if r2 = Rel not3_rel then r1 else Join (r, Rel not3_rel) | s_not3 r = Join (r, Rel not3_rel) - (* rel_expr -> rel_expr -> formula *) fun s_rel_eq r1 r2 = (case (r1, r2) of (Join (r11, Rel x), _) => @@ -427,12 +395,10 @@ else if forall is_one_rel_expr [r1, r2] then s_rel_eq r1 r2 else Subset (r1, r2) - (* expr_assign list -> rel_expr -> rel_expr *) fun s_rel_let [b as AssignRelReg (x', r')] (r as RelReg x) = if x = x' then r' else RelLet ([b], r) | s_rel_let bs r = RelLet (bs, r) - (* formula -> rel_expr -> rel_expr -> rel_expr *) fun s_rel_if f r1 r2 = (case (f, r1, r2) of (True, _, _) => r1 @@ -443,7 +409,6 @@ | _ => raise SAME ()) handle SAME () => if r1 = r2 then r1 else RelIf (f, r1, r2) - (* rel_expr -> rel_expr -> rel_expr *) fun s_union r1 (Union (r21, r22)) = s_union (s_union r1 r21) r22 | s_union r1 r2 = if is_none_product r1 then r2 @@ -561,14 +526,12 @@ handle SAME () => List.foldr Join r22 [r1, r21]) | s_join r1 r2 = Join (r1, r2) - (* rel_expr -> rel_expr *) fun s_closure Iden = Iden | s_closure r = if is_none_product r then r else Closure r fun s_reflexive_closure Iden = Iden | s_reflexive_closure r = if is_none_product r then Iden else ReflexiveClosure r - (* decl list -> formula -> rel_expr *) fun s_comprehension ds False = empty_n_ary_rel (length ds) | s_comprehension ds True = fold1 s_product (map decl_one_set ds) | s_comprehension [d as DeclOne ((1, j1), r)] @@ -579,10 +542,8 @@ Comprehension ([d], f) | s_comprehension ds f = Comprehension (ds, f) - (* rel_expr -> int -> int -> rel_expr *) fun s_project_seq r = let - (* int -> rel_expr -> int -> int -> rel_expr *) fun aux arity r j0 n = if j0 = 0 andalso arity = n then r @@ -595,7 +556,6 @@ val arity1 = arity - arity2 val n1 = Int.min (nat_minus arity1 j0, n) val n2 = n - n1 - (* unit -> rel_expr *) fun one () = aux arity1 r1 j0 n1 fun two () = aux arity2 r2 (nat_minus j0 arity1) n2 in @@ -607,17 +567,13 @@ | _ => s_project r (num_seq j0 n) in aux (arity_of_rel_expr r) r end - (* rel_expr -> rel_expr -> rel_expr *) fun s_nat_less (Atom j1) (Atom j2) = from_bool (j1 < j2) | s_nat_less r1 r2 = fold s_join [r1, r2] (Rel nat_less_rel) fun s_int_less (Atom j1) (Atom j2) = from_bool (to_int j1 < to_int j2) | s_int_less r1 r2 = fold s_join [r1, r2] (Rel int_less_rel) - (* rel_expr -> int -> int -> rel_expr *) fun d_project_seq r j0 n = Project (r, num_seq j0 n) - (* rel_expr -> rel_expr *) fun d_not3 r = Join (r, Rel not3_rel) - (* rel_expr -> rel_expr -> rel_expr *) fun d_nat_less r1 r2 = List.foldl Join (Rel nat_less_rel) [r1, r2] fun d_int_less r1 r2 = List.foldl Join (Rel int_less_rel) [r1, r2] in diff -r 76d5fd5a45fb -r ff5f88702590 src/HOL/Tools/Nitpick/nitpick_preproc.ML --- a/src/HOL/Tools/Nitpick/nitpick_preproc.ML Sat Apr 24 16:17:30 2010 +0200 +++ b/src/HOL/Tools/Nitpick/nitpick_preproc.ML Sat Apr 24 16:33:01 2010 +0200 @@ -21,7 +21,6 @@ open Nitpick_HOL open Nitpick_Mono -(* polarity -> string -> bool *) fun is_positive_existential polar quant_s = (polar = Pos andalso quant_s = @{const_name Ex}) orelse (polar = Neg andalso quant_s <> @{const_name Ex}) @@ -33,10 +32,8 @@ binary coding. *) val binary_int_threshold = 3 -(* bool -> term -> bool *) val may_use_binary_ints = let - (* bool -> term -> bool *) fun aux def (Const (@{const_name "=="}, _) $ t1 $ t2) = aux def t1 andalso aux false t2 | aux def (@{const "==>"} $ t1 $ t2) = aux false t1 andalso aux def t2 @@ -52,10 +49,8 @@ | aux def (Abs (_, _, t')) = aux def t' | aux _ _ = true in aux end -(* term -> bool *) val should_use_binary_ints = let - (* term -> bool *) fun aux (t1 $ t2) = aux t1 orelse aux t2 | aux (Const (s, T)) = ((s = @{const_name times} orelse s = @{const_name div}) andalso @@ -70,10 +65,8 @@ (** Uncurrying **) -(* theory -> term -> int Termtab.tab -> int Termtab.tab *) fun add_to_uncurry_table thy t = let - (* term -> term list -> int Termtab.tab -> int Termtab.tab *) fun aux (t1 $ t2) args table = let val table = aux t2 [] table in aux t1 (t2 :: args) table end | aux (Abs (_, _, t')) _ table = aux t' [] table @@ -87,14 +80,11 @@ | aux _ _ table = table in aux t [] end -(* int -> int -> string *) fun uncurry_prefix_for k j = uncurry_prefix ^ string_of_int k ^ "@" ^ string_of_int j ^ name_sep -(* int Termtab.tab term -> term *) fun uncurry_term table t = let - (* term -> term list -> term *) fun aux (t1 $ t2) args = aux t1 (aux t2 [] :: args) | aux (Abs (s, T, t')) args = betapplys (Abs (s, T, aux t' []), args) | aux (t as Const (s, T)) args = @@ -131,17 +121,14 @@ (** Boxing **) -(* hol_context -> bool -> term -> term *) fun box_fun_and_pair_in_term (hol_ctxt as {thy, stds, fast_descrs, ...}) def orig_t = let - (* typ -> typ *) fun box_relational_operator_type (Type (@{type_name fun}, Ts)) = Type (@{type_name fun}, map box_relational_operator_type Ts) | box_relational_operator_type (Type (@{type_name "*"}, Ts)) = Type (@{type_name "*"}, map (box_type hol_ctxt InPair) Ts) | box_relational_operator_type T = T - (* indexname * typ -> typ * term -> typ option list -> typ option list *) fun add_boxed_types_for_var (z as (_, T)) (T', t') = case t' of Var z' => z' = z ? insert (op =) T' @@ -152,7 +139,6 @@ | _ => raise TYPE ("Nitpick_Preproc.box_fun_and_pair_in_term.\ \add_boxed_types_for_var", [T'], [])) | _ => exists_subterm (curry (op =) (Var z)) t' ? insert (op =) T - (* typ list -> typ list -> term -> indexname * typ -> typ *) fun box_var_in_def new_Ts old_Ts t (z as (_, T)) = case t of @{const Trueprop} $ t1 => box_var_in_def new_Ts old_Ts t1 z @@ -170,8 +156,6 @@ else T | _ => T - (* typ list -> typ list -> polarity -> string -> typ -> string -> typ - -> term -> term *) and do_quantifier new_Ts old_Ts polar quant_s quant_T abs_s abs_T t = let val abs_T' = @@ -185,7 +169,6 @@ $ Abs (abs_s, abs_T', t |> do_term (abs_T' :: new_Ts) (abs_T :: old_Ts) polar) end - (* typ list -> typ list -> string -> typ -> term -> term -> term *) and do_equals new_Ts old_Ts s0 T0 t1 t2 = let val (t1, t2) = pairself (do_term new_Ts old_Ts Neut) (t1, t2) @@ -195,12 +178,10 @@ list_comb (Const (s0, T --> T --> body_type T0), map2 (coerce_term hol_ctxt new_Ts T) [T1, T2] [t1, t2]) end - (* string -> typ -> term *) and do_description_operator s T = let val T1 = box_type hol_ctxt InFunLHS (range_type T) in Const (s, (T1 --> bool_T) --> T1) end - (* typ list -> typ list -> polarity -> term -> term *) and do_term new_Ts old_Ts polar t = case t of Const (s0 as @{const_name all}, T0) $ Abs (s1, T1, t1) => @@ -302,21 +283,16 @@ val val_var_prefix = nitpick_prefix ^ "v" -(* typ list -> int -> int -> int -> term -> term *) fun fresh_value_var Ts k n j t = Var ((val_var_prefix ^ nat_subscript (n - j), k), fastype_of1 (Ts, t)) -(* typ list -> term -> bool *) fun has_heavy_bounds_or_vars Ts t = let - (* typ list -> bool *) fun aux [] = false | aux [T] = is_fun_type T orelse is_pair_type T | aux _ = true in aux (map snd (Term.add_vars t []) @ map (nth Ts) (loose_bnos t)) end -(* hol_context -> typ list -> bool -> int -> int -> term -> term list - -> term list -> term * term list *) fun pull_out_constr_comb ({thy, stds, ...} : hol_context) Ts relax k level t args seen = let val t_comb = list_comb (t, args) in @@ -336,18 +312,15 @@ | _ => (t_comb, seen) end -(* (term -> term) -> typ list -> int -> term list -> term list *) fun equations_for_pulled_out_constrs mk_eq Ts k seen = let val n = length seen in map2 (fn j => fn t => mk_eq (fresh_value_var Ts k n j t, t)) (index_seq 0 n) seen end -(* hol_context -> bool -> term -> term *) fun pull_out_universal_constrs hol_ctxt def t = let val k = maxidx_of_term t + 1 - (* typ list -> bool -> term -> term list -> term list -> term * term list *) fun do_term Ts def t args seen = case t of (t0 as Const (@{const_name "=="}, _)) $ t1 $ t2 => @@ -367,8 +340,6 @@ do_term Ts def t1 (t2 :: args) seen end | _ => pull_out_constr_comb hol_ctxt Ts def k 0 t args seen - (* typ list -> bool -> bool -> term -> term -> term -> term list - -> term * term list *) and do_eq_or_imp Ts eq def t0 t1 t2 seen = let val (t2, seen) = if eq andalso def then (t2, seen) @@ -381,22 +352,18 @@ seen, concl) end -(* term -> term -> term *) fun mk_exists v t = HOLogic.exists_const (fastype_of v) $ lambda v (incr_boundvars 1 t) -(* hol_context -> term -> term *) fun pull_out_existential_constrs hol_ctxt t = let val k = maxidx_of_term t + 1 - (* typ list -> int -> term -> term list -> term list -> term * term list *) fun aux Ts num_exists t args seen = case t of (t0 as Const (@{const_name Ex}, _)) $ Abs (s1, T1, t1) => let val (t1, seen') = aux (T1 :: Ts) (num_exists + 1) t1 [] [] val n = length seen' - (* unit -> term list *) fun vars () = map2 (fresh_value_var Ts k n) (index_seq 0 n) seen' in (equations_for_pulled_out_constrs HOLogic.mk_eq Ts k seen' @@ -421,7 +388,6 @@ val let_var_prefix = nitpick_prefix ^ "l" val let_inline_threshold = 32 -(* int -> typ -> term -> (term -> term) -> term *) fun hol_let n abs_T body_T f t = if n * size_of_term t <= let_inline_threshold then f t @@ -431,14 +397,11 @@ $ t $ abs_var z (incr_boundvars 1 (f (Var z))) end -(* hol_context -> bool -> term -> term *) fun destroy_pulled_out_constrs (hol_ctxt as {thy, stds, ...}) axiom t = let - (* styp -> int *) val num_occs_of_var = fold_aterms (fn Var z => (fn f => fn z' => f z' |> z = z' ? Integer.add 1) | _ => I) t (K 0) - (* bool -> term -> term *) fun aux careful ((t0 as Const (@{const_name "=="}, _)) $ t1 $ t2) = aux_eq careful true t0 t1 t2 | aux careful ((t0 as @{const "==>"}) $ t1 $ t2) = @@ -450,7 +413,6 @@ | aux careful (Abs (s, T, t')) = Abs (s, T, aux careful t') | aux careful (t1 $ t2) = aux careful t1 $ aux careful t2 | aux _ t = t - (* bool -> bool -> term -> term -> term -> term *) and aux_eq careful pass1 t0 t1 t2 = ((if careful then raise SAME () @@ -485,7 +447,6 @@ |> body_type (type_of t0) = prop_T ? HOLogic.mk_Trueprop) handle SAME () => if pass1 then aux_eq careful false t0 t2 t1 else t0 $ aux false t2 $ aux false t1 - (* styp -> term -> int -> typ -> term -> term *) and sel_eq x t n nth_T nth_t = HOLogic.eq_const nth_T $ nth_t $ select_nth_constr_arg thy stds x t n nth_T @@ -494,7 +455,6 @@ (** Destruction of universal and existential equalities **) -(* term -> term *) fun curry_assms (@{const "==>"} $ (@{const Trueprop} $ (@{const "op &"} $ t1 $ t2)) $ t3) = curry_assms (Logic.list_implies ([t1, t2] |> map HOLogic.mk_Trueprop, t3)) @@ -502,15 +462,12 @@ @{const "==>"} $ curry_assms t1 $ curry_assms t2 | curry_assms t = t -(* term -> term *) val destroy_universal_equalities = let - (* term list -> (indexname * typ) list -> term -> term *) fun aux prems zs t = case t of @{const "==>"} $ t1 $ t2 => aux_implies prems zs t1 t2 | _ => Logic.list_implies (rev prems, t) - (* term list -> (indexname * typ) list -> term -> term -> term *) and aux_implies prems zs t1 t2 = case t1 of Const (@{const_name "=="}, _) $ Var z $ t' => aux_eq prems zs z t' t1 t2 @@ -519,8 +476,6 @@ | @{const Trueprop} $ (Const (@{const_name "op ="}, _) $ t' $ Var z) => aux_eq prems zs z t' t1 t2 | _ => aux (t1 :: prems) (Term.add_vars t1 zs) t2 - (* term list -> (indexname * typ) list -> indexname * typ -> term -> term - -> term -> term *) and aux_eq prems zs z t' t1 t2 = if not (member (op =) zs z) andalso not (exists_subterm (curry (op =) (Var z)) t') then @@ -529,15 +484,11 @@ aux (t1 :: prems) (Term.add_vars t1 zs) t2 in aux [] [] end -(* theory -> (typ option * bool) list -> int -> term list -> term list - -> (term * term list) option *) fun find_bound_assign thy stds j = let - (* term list -> term list -> (term * term list) option *) fun do_term _ [] = NONE | do_term seen (t :: ts) = let - (* bool -> term -> term -> (term * term list) option *) fun do_eq pass1 t1 t2 = (if loose_bvar1 (t2, j) then if pass1 then do_eq false t2 t1 else raise SAME () @@ -559,10 +510,8 @@ end in do_term end -(* int -> term -> term -> term *) fun subst_one_bound j arg t = let - (* term * int -> term *) fun aux (Bound i, lev) = if i < lev then raise SAME () else if i = lev then incr_boundvars (lev - j) arg @@ -574,10 +523,8 @@ | aux _ = raise SAME () in aux (t, j) handle SAME () => t end -(* hol_context -> term -> term *) fun destroy_existential_equalities ({thy, stds, ...} : hol_context) = let - (* string list -> typ list -> term list -> term *) fun kill [] [] ts = foldr1 s_conj ts | kill (s :: ss) (T :: Ts) ts = (case find_bound_assign thy stds (length ss) [] ts of @@ -589,7 +536,6 @@ Const (@{const_name Ex}, (T --> bool_T) --> bool_T) $ Abs (s, T, kill ss Ts ts)) | kill _ _ _ = raise UnequalLengths - (* string list -> typ list -> term -> term *) fun gather ss Ts (Const (@{const_name Ex}, _) $ Abs (s1, T1, t1)) = gather (ss @ [s1]) (Ts @ [T1]) t1 | gather [] [] (Abs (s, T, t1)) = Abs (s, T, gather [] [] t1) @@ -600,20 +546,15 @@ (** Skolemization **) -(* int -> int -> string *) fun skolem_prefix_for k j = skolem_prefix ^ string_of_int k ^ "@" ^ string_of_int j ^ name_sep -(* hol_context -> int -> term -> term *) fun skolemize_term_and_more (hol_ctxt as {thy, def_table, skolems, ...}) skolem_depth = let - (* int list -> int list *) val incrs = map (Integer.add 1) - (* string list -> typ list -> int list -> int -> polarity -> term -> term *) fun aux ss Ts js depth polar t = let - (* string -> typ -> string -> typ -> term -> term *) fun do_quantifier quant_s quant_T abs_s abs_T t = if not (loose_bvar1 (t, 0)) then aux ss Ts js depth polar (incr_boundvars ~1 t) @@ -679,7 +620,6 @@ else (ubfp_prefix, @{const "op &"}, @{const_name semilattice_inf_class.inf}) - (* unit -> term *) fun pos () = unrolled_inductive_pred_const hol_ctxt gfp x |> aux ss Ts js depth polar fun neg () = Const (pref ^ s, T) @@ -693,7 +633,6 @@ val ((trunk_arg_Ts, rump_arg_T), body_T) = T |> strip_type |>> split_last val set_T = rump_arg_T --> body_T - (* (unit -> term) -> term *) fun app f = list_comb (f (), map Bound (length trunk_arg_Ts - 1 downto 0)) @@ -717,21 +656,18 @@ (** Function specialization **) -(* term -> term list *) fun params_in_equation (@{const "==>"} $ _ $ t2) = params_in_equation t2 | params_in_equation (@{const Trueprop} $ t1) = params_in_equation t1 | params_in_equation (Const (@{const_name "op ="}, _) $ t1 $ _) = snd (strip_comb t1) | params_in_equation _ = [] -(* styp -> styp -> int list -> term list -> term list -> term -> term *) fun specialize_fun_axiom x x' fixed_js fixed_args extra_args t = let val k = fold Integer.max (map maxidx_of_term (fixed_args @ extra_args)) 0 + 1 val t = map_aterms (fn Var ((s, i), T) => Var ((s, k + i), T) | t' => t') t val fixed_params = filter_indices fixed_js (params_in_equation t) - (* term list -> term -> term *) fun aux args (Abs (s, T, t)) = list_comb (Abs (s, T, aux [] t), args) | aux args (t1 $ t2) = aux (aux [] t2 :: args) t1 | aux args t = @@ -743,10 +679,8 @@ end in aux [] t end -(* hol_context -> styp -> (int * term option) list *) fun static_args_in_term ({ersatz_table, ...} : hol_context) x t = let - (* term -> term list -> term list -> term list list *) fun fun_calls (Abs (_, _, t)) _ = fun_calls t [] | fun_calls (t1 $ t2) args = fun_calls t2 [] #> fun_calls t1 (t2 :: args) | fun_calls t args = @@ -756,7 +690,6 @@ SOME s'' => x = (s'', T') | NONE => false) | _ => false) ? cons args - (* term list list -> term list list -> term list -> term list list *) fun call_sets [] [] vs = [vs] | call_sets [] uss vs = vs :: call_sets uss [] [] | call_sets ([] :: _) _ _ = [] @@ -773,12 +706,10 @@ | [t as Free _] => cons (j, SOME t) | _ => I) indexed_sets [] end -(* hol_context -> styp -> term list -> (int * term option) list *) fun static_args_in_terms hol_ctxt x = map (static_args_in_term hol_ctxt x) #> fold1 (OrdList.inter (prod_ord int_ord (option_ord Term_Ord.term_ord))) -(* (int * term option) list -> (int * term) list -> int list *) fun overlapping_indices [] _ = [] | overlapping_indices _ [] = [] | overlapping_indices (ps1 as (j1, t1) :: ps1') (ps2 as (j2, t2) :: ps2') = @@ -786,7 +717,6 @@ else if j1 > j2 then overlapping_indices ps1 ps2' else overlapping_indices ps1' ps2' |> the_default t2 t1 = t2 ? cons j1 -(* typ list -> term -> bool *) fun is_eligible_arg Ts t = let val bad_Ts = map snd (Term.add_vars t []) @ map (nth Ts) (loose_bnos t) in null bad_Ts orelse @@ -794,7 +724,6 @@ forall (not o is_higher_order_type) bad_Ts) end -(* int -> string *) fun special_prefix_for j = special_prefix ^ string_of_int j ^ name_sep (* If a constant's definition is picked up deeper than this threshold, we @@ -803,7 +732,6 @@ val bound_var_prefix = "b" -(* hol_context -> int -> term -> term *) fun specialize_consts_in_term (hol_ctxt as {specialize, simp_table, special_funs, ...}) depth t = if not specialize orelse depth > special_max_depth then @@ -812,7 +740,6 @@ let val blacklist = if depth = 0 then [] else case term_under_def t of Const x => [x] | _ => [] - (* term list -> typ list -> term -> term *) fun aux args Ts (Const (x as (s, T))) = ((if not (member (op =) blacklist x) andalso not (null args) andalso not (String.isPrefix special_prefix s) andalso @@ -836,7 +763,6 @@ val extra_args = map Var vars @ map Bound bound_js @ live_args val extra_Ts = map snd vars @ filter_indices bound_js Ts val k = maxidx_of_term t + 1 - (* int -> term *) fun var_for_bound_no j = Var ((bound_var_prefix ^ nat_subscript (find_index (curry (op =) j) bound_js @@ -880,7 +806,6 @@ val cong_var_prefix = "c" -(* typ -> special_triple -> special_triple -> term *) fun special_congruence_axiom T (js1, ts1, x1) (js2, ts2, x2) = let val (bounds1, bounds2) = pairself (map Var o special_bounds) (ts1, ts2) @@ -905,7 +830,6 @@ |> close_form (* TODO: needed? *) end -(* hol_context -> styp list -> term list *) fun special_congruence_axioms (hol_ctxt as {special_funs, ...}) xs = let val groups = @@ -914,14 +838,10 @@ |> AList.group (op =) |> filter_out (is_equational_fun_surely_complete hol_ctxt o fst) |> map (fn (x, zs) => (x, zs |> member (op =) xs x ? cons ([], [], x))) - (* special_triple -> int *) fun generality (js, _, _) = ~(length js) - (* special_triple -> special_triple -> bool *) fun is_more_specific (j1, t1, x1) (j2, t2, x2) = x1 <> x2 andalso OrdList.subset (prod_ord int_ord Term_Ord.term_ord) (j2 ~~ t2, j1 ~~ t1) - (* typ -> special_triple list -> special_triple list -> special_triple list - -> term list -> term list *) fun do_pass_1 _ [] [_] [_] = I | do_pass_1 T skipped _ [] = do_pass_2 T skipped | do_pass_1 T skipped all (z :: zs) = @@ -930,7 +850,6 @@ [] => do_pass_1 T (z :: skipped) all zs | (z' :: _) => cons (special_congruence_axiom T z z') #> do_pass_1 T skipped all zs - (* typ -> special_triple list -> term list -> term list *) and do_pass_2 _ [] = I | do_pass_2 T (z :: zs) = fold (cons o special_congruence_axiom T z) zs #> do_pass_2 T zs @@ -938,32 +857,23 @@ (** Axiom selection **) -(* 'a Symtab.table -> 'a list *) fun all_table_entries table = Symtab.fold (append o snd) table [] -(* const_table -> string -> const_table *) fun extra_table table s = Symtab.make [(s, all_table_entries table)] -(* int -> term -> term *) fun eval_axiom_for_term j t = Logic.mk_equals (Const (eval_prefix ^ string_of_int j, fastype_of t), t) -(* term -> bool *) val is_trivial_equation = the_default false o try (op aconv o Logic.dest_equals) (* Prevents divergence in case of cyclic or infinite axiom dependencies. *) val axioms_max_depth = 255 -(* hol_context -> term -> term list * term list * bool * bool *) fun axioms_for_term (hol_ctxt as {thy, ctxt, max_bisim_depth, stds, user_axioms, fast_descrs, evals, def_table, nondef_table, choice_spec_table, user_nondefs, ...}) t = let type accumulator = styp list * (term list * term list) - (* (term list * term list -> term list) - -> ((term list -> term list) -> term list * term list - -> term list * term list) - -> int -> term -> accumulator -> accumulator *) fun add_axiom get app depth t (accum as (xs, axs)) = let val t = t |> unfold_defs_in_term hol_ctxt @@ -977,7 +887,6 @@ else add_axioms_for_term (depth + 1) t' (xs, app (cons t') axs) end end - (* int -> term -> accumulator -> accumulator *) and add_def_axiom depth = add_axiom fst apfst depth and add_nondef_axiom depth = add_axiom snd apsnd depth and add_maybe_def_axiom depth t = @@ -986,7 +895,6 @@ and add_eq_axiom depth t = (if is_constr_pattern_formula thy t then add_def_axiom else add_nondef_axiom) depth t - (* int -> term -> accumulator -> accumulator *) and add_axioms_for_term depth t (accum as (xs, axs)) = case t of t1 $ t2 => accum |> fold (add_axioms_for_term depth) [t1, t2] @@ -1058,7 +966,6 @@ | Bound _ => accum | Abs (_, T, t) => accum |> add_axioms_for_term depth t |> add_axioms_for_type depth T - (* int -> typ -> accumulator -> accumulator *) and add_axioms_for_type depth T = case T of Type (@{type_name fun}, Ts) => fold (add_axioms_for_type depth) Ts @@ -1080,7 +987,6 @@ (codatatype_bisim_axioms hol_ctxt T) else I) - (* int -> typ -> sort -> accumulator -> accumulator *) and add_axioms_for_sort depth T S = let val supers = Sign.complete_sort thy S @@ -1112,15 +1018,12 @@ (** Simplification of constructor/selector terms **) -(* theory -> term -> term *) fun simplify_constrs_and_sels thy t = let - (* term -> int -> term *) fun is_nth_sel_on t' n (Const (s, _) $ t) = (t = t' andalso is_sel_like_and_no_discr s andalso sel_no_from_name s = n) | is_nth_sel_on _ _ _ = false - (* term -> term list -> term *) fun do_term (Const (@{const_name Rep_Frac}, _) $ (Const (@{const_name Abs_Frac}, _) $ t1)) [] = do_term t1 [] | do_term (Const (@{const_name Abs_Frac}, _) @@ -1160,7 +1063,6 @@ (** Quantifier massaging: Distributing quantifiers **) -(* term -> term *) fun distribute_quantifiers t = case t of (t0 as Const (@{const_name All}, T0)) $ Abs (s, T1, t1) => @@ -1199,7 +1101,6 @@ (** Quantifier massaging: Pushing quantifiers inward **) -(* int -> int -> (int -> int) -> term -> term *) fun renumber_bounds j n f t = case t of t1 $ t2 => renumber_bounds j n f t1 $ renumber_bounds j n f t2 @@ -1214,10 +1115,8 @@ paper). *) val quantifier_cluster_threshold = 7 -(* term -> term *) val push_quantifiers_inward = let - (* string -> string list -> typ list -> term -> term *) fun aux quant_s ss Ts t = (case t of Const (s0, _) $ Abs (s1, T1, t1 as _ $ _) => @@ -1237,7 +1136,6 @@ else let val typical_card = 4 - (* ('a -> ''b list) -> 'a list -> ''b list *) fun big_union proj ps = fold (fold (insert (op =)) o proj) ps [] val (ts, connective) = strip_any_connective t @@ -1245,11 +1143,8 @@ map (bounded_card_of_type 65536 typical_card []) Ts val t_costs = map size_of_term ts val num_Ts = length Ts - (* int -> int *) val flip = curry (op -) (num_Ts - 1) val t_boundss = map (map flip o loose_bnos) ts - (* (int list * int) list -> int list - -> (int list * int) list *) fun merge costly_boundss [] = costly_boundss | merge costly_boundss (j :: js) = let @@ -1261,9 +1156,7 @@ val yeas_cost = Integer.sum (map snd yeas) * nth T_costs j in merge ((yeas_bounds, yeas_cost) :: nays) js end - (* (int list * int) list -> int list -> int *) val cost = Integer.sum o map snd oo merge - (* (int list * int) list -> int list -> int list *) fun heuristically_best_permutation _ [] = [] | heuristically_best_permutation costly_boundss js = let @@ -1287,14 +1180,12 @@ (index_seq 0 num_Ts) val ts = map (renumber_bounds 0 num_Ts (nth back_js o flip)) ts - (* (term * int list) list -> term *) fun mk_connection [] = raise ARG ("Nitpick_Preproc.push_quantifiers_inward.aux.\ \mk_connection", "") | mk_connection ts_cum_bounds = ts_cum_bounds |> map fst |> foldr1 (fn (t1, t2) => connective $ t1 $ t2) - (* (term * int list) list -> int list -> term *) fun build ts_cum_bounds [] = ts_cum_bounds |> mk_connection | build ts_cum_bounds (j :: js) = let @@ -1321,9 +1212,6 @@ (** Inference of finite functions **) -(* hol_context -> bool -> (typ option * bool option) list - -> (typ option * bool option) list -> term list * term list - -> term list * term list *) fun finitize_all_types_of_funs (hol_ctxt as {thy, ...}) binarize finitizes monos (nondef_ts, def_ts) = let @@ -1338,9 +1226,6 @@ (** Preprocessor entry point **) -(* hol_context -> (typ option * bool option) list - -> (typ option * bool option) list -> term - -> term list * term list * bool * bool * bool *) fun preprocess_term (hol_ctxt as {thy, stds, binary_ints, destroy_constrs, boxes, skolemize, uncurry, ...}) finitizes monos t = @@ -1365,7 +1250,6 @@ val table = Termtab.empty |> uncurry ? fold (add_to_uncurry_table thy) (nondef_ts @ def_ts) - (* bool -> term -> term *) fun do_rest def = binarize ? binarize_nat_and_int_in_term #> uncurry ? uncurry_term table diff -r 76d5fd5a45fb -r ff5f88702590 src/HOL/Tools/Nitpick/nitpick_rep.ML --- a/src/HOL/Tools/Nitpick/nitpick_rep.ML Sat Apr 24 16:17:30 2010 +0200 +++ b/src/HOL/Tools/Nitpick/nitpick_rep.ML Sat Apr 24 16:33:01 2010 +0200 @@ -77,18 +77,15 @@ exception REP of string * rep list -(* polarity -> string *) fun string_for_polarity Pos = "+" | string_for_polarity Neg = "-" | string_for_polarity Neut = "=" -(* rep -> string *) fun atomic_string_for_rep rep = let val s = string_for_rep rep in if String.isPrefix "[" s orelse not (is_substring_of " " s) then s else "(" ^ s ^ ")" end -(* rep -> string *) and string_for_rep Any = "X" | string_for_rep (Formula polar) = "F" ^ string_for_polarity polar | string_for_rep Unit = "U" @@ -101,7 +98,6 @@ atomic_string_for_rep R1 ^ " => " ^ string_for_rep R2 | string_for_rep (Opt R) = atomic_string_for_rep R ^ "?" -(* rep -> bool *) fun is_Func (Func _) = true | is_Func _ = false fun is_Opt (Opt _) = true @@ -110,7 +106,6 @@ | is_opt_rep (Opt _) = true | is_opt_rep _ = false -(* rep -> int *) fun card_of_rep Any = raise REP ("Nitpick_Rep.card_of_rep", [Any]) | card_of_rep (Formula _) = 2 | card_of_rep Unit = 1 @@ -140,7 +135,6 @@ Int.max (min_univ_card_of_rep R1, min_univ_card_of_rep R2) | min_univ_card_of_rep (Opt R) = min_univ_card_of_rep R -(* rep -> bool *) fun is_one_rep Unit = true | is_one_rep (Atom _) = true | is_one_rep (Struct _) = true @@ -149,10 +143,8 @@ fun is_lone_rep (Opt R) = is_one_rep R | is_lone_rep R = is_one_rep R -(* rep -> rep * rep *) fun dest_Func (Func z) = z | dest_Func R = raise REP ("Nitpick_Rep.dest_Func", [R]) -(* int Typtab.table -> typ -> (unit -> int) -> rep -> rep *) fun lazy_range_rep _ _ _ Unit = Unit | lazy_range_rep _ _ _ (Vect (_, R)) = R | lazy_range_rep _ _ _ (Func (_, R2)) = R2 @@ -164,19 +156,15 @@ Atom (ran_card (), offset_of_type ofs T2) | lazy_range_rep _ _ _ R = raise REP ("Nitpick_Rep.lazy_range_rep", [R]) -(* rep -> rep list *) fun binder_reps (Func (R1, R2)) = R1 :: binder_reps R2 | binder_reps _ = [] -(* rep -> rep *) fun body_rep (Func (_, R2)) = body_rep R2 | body_rep R = R -(* rep -> rep *) fun flip_rep_polarity (Formula polar) = Formula (flip_polarity polar) | flip_rep_polarity (Func (R1, R2)) = Func (R1, flip_rep_polarity R2) | flip_rep_polarity R = R -(* int Typtab.table -> rep -> rep *) fun one_rep _ _ Any = raise REP ("Nitpick_Rep.one_rep", [Any]) | one_rep _ _ (Atom x) = Atom x | one_rep _ _ (Struct Rs) = Struct Rs @@ -189,12 +177,10 @@ fun opt_rep ofs (Type (@{type_name fun}, [_, T2])) (Func (R1, R2)) = Func (R1, opt_rep ofs T2 R2) | opt_rep ofs T R = Opt (optable_rep ofs T R) -(* rep -> rep *) fun unopt_rep (Func (R1, R2)) = Func (R1, unopt_rep R2) | unopt_rep (Opt R) = R | unopt_rep R = R -(* polarity -> polarity -> polarity *) fun min_polarity polar1 polar2 = if polar1 = polar2 then polar1 @@ -208,7 +194,6 @@ (* It's important that Func is before Vect, because if the range is Opt we could lose information by converting a Func to a Vect. *) -(* rep -> rep -> rep *) fun min_rep (Opt R1) (Opt R2) = Opt (min_rep R1 R2) | min_rep (Opt R) _ = Opt R | min_rep _ (Opt R) = Opt R @@ -237,7 +222,6 @@ else if k1 > k2 then Vect (k2, R2) else Vect (k1, min_rep R1 R2) | min_rep R1 R2 = raise REP ("Nitpick_Rep.min_rep", [R1, R2]) -(* rep list -> rep list -> rep list *) and min_reps [] _ = [] | min_reps _ [] = [] | min_reps (R1 :: Rs1) (R2 :: Rs2) = @@ -245,7 +229,6 @@ else if min_rep R1 R2 = R1 then R1 :: Rs1 else R2 :: Rs2 -(* int -> rep -> int *) fun card_of_domain_from_rep ran_card R = case R of Unit => 1 @@ -255,14 +238,12 @@ | Opt R => card_of_domain_from_rep ran_card R | _ => raise REP ("Nitpick_Rep.card_of_domain_from_rep", [R]) -(* int Typtab.table -> typ -> rep -> rep *) fun rep_to_binary_rel_rep ofs T R = let val k = exact_root 2 (card_of_domain_from_rep 2 R) val j0 = offset_of_type ofs (fst (HOLogic.dest_prodT (domain_type T))) in Func (Struct [Atom (k, j0), Atom (k, j0)], Formula Neut) end -(* scope -> typ -> rep *) fun best_one_rep_for_type (scope as {card_assigns, ...} : scope) (Type (@{type_name fun}, [T1, T2])) = (case best_one_rep_for_type scope T2 of @@ -283,7 +264,6 @@ (* Datatypes are never represented by Unit, because it would confuse "nfa_transitions_for_ctor". *) -(* scope -> typ -> rep *) fun best_opt_set_rep_for_type scope (Type (@{type_name fun}, [T1, T2])) = Func (best_one_rep_for_type scope T1, best_opt_set_rep_for_type scope T2) | best_opt_set_rep_for_type (scope as {ofs, ...}) T = @@ -308,7 +288,6 @@ | best_non_opt_symmetric_reps_for_fun_type _ T = raise TYPE ("Nitpick_Rep.best_non_opt_symmetric_reps_for_fun_type", [T], []) -(* rep -> (int * int) list *) fun atom_schema_of_rep Any = raise REP ("Nitpick_Rep.atom_schema_of_rep", [Any]) | atom_schema_of_rep (Formula _) = [] | atom_schema_of_rep Unit = [] @@ -318,10 +297,8 @@ | atom_schema_of_rep (Func (R1, R2)) = atom_schema_of_rep R1 @ atom_schema_of_rep R2 | atom_schema_of_rep (Opt R) = atom_schema_of_rep R -(* rep list -> (int * int) list *) and atom_schema_of_reps Rs = maps atom_schema_of_rep Rs -(* typ -> rep -> typ list *) fun type_schema_of_rep _ (Formula _) = [] | type_schema_of_rep _ Unit = [] | type_schema_of_rep T (Atom _) = [T] @@ -333,12 +310,9 @@ type_schema_of_rep T1 R1 @ type_schema_of_rep T2 R2 | type_schema_of_rep T (Opt R) = type_schema_of_rep T R | type_schema_of_rep _ R = raise REP ("Nitpick_Rep.type_schema_of_rep", [R]) -(* typ list -> rep list -> typ list *) and type_schema_of_reps Ts Rs = flat (map2 type_schema_of_rep Ts Rs) -(* rep -> int list list *) val all_combinations_for_rep = all_combinations o atom_schema_of_rep -(* rep list -> int list list *) val all_combinations_for_reps = all_combinations o atom_schema_of_reps end; diff -r 76d5fd5a45fb -r ff5f88702590 src/HOL/Tools/Nitpick/nitpick_scope.ML --- a/src/HOL/Tools/Nitpick/nitpick_scope.ML Sat Apr 24 16:17:30 2010 +0200 +++ b/src/HOL/Tools/Nitpick/nitpick_scope.ML Sat Apr 24 16:33:01 2010 +0200 @@ -93,11 +93,9 @@ type row = row_kind * int list type block = row list -(* dtype_spec list -> typ -> dtype_spec option *) fun datatype_spec (dtypes : dtype_spec list) T = List.find (curry (op =) T o #typ) dtypes -(* dtype_spec list -> styp -> constr_spec *) fun constr_spec [] x = raise TERM ("Nitpick_Scope.constr_spec", [Const x]) | constr_spec ({constrs, ...} :: dtypes : dtype_spec list) (x as (s, T)) = case List.find (curry (op =) (s, body_type T) o (apsnd body_type o #const)) @@ -105,7 +103,6 @@ SOME c => c | NONE => constr_spec dtypes x -(* dtype_spec list -> bool -> typ -> bool *) fun is_complete_type dtypes facto (Type (@{type_name fun}, [T1, T2])) = is_concrete_type dtypes facto T1 andalso is_complete_type dtypes facto T2 | is_complete_type dtypes facto (Type (@{type_name fin_fun}, [T1, T2])) = @@ -128,19 +125,15 @@ and is_exact_type dtypes facto = is_complete_type dtypes facto andf is_concrete_type dtypes facto -(* int Typtab.table -> typ -> int *) fun offset_of_type ofs T = case Typtab.lookup ofs T of SOME j0 => j0 | NONE => Typtab.lookup ofs dummyT |> the_default 0 -(* scope -> typ -> int * int *) fun spec_of_type ({card_assigns, ofs, ...} : scope) T = (card_of_type card_assigns T handle TYPE ("Nitpick_HOL.card_of_type", _, _) => ~1, offset_of_type ofs T) -(* (string -> string) -> scope - -> string list * string list * string list * string list * string list *) fun quintuple_for_scope quote ({hol_ctxt = {thy, ctxt, stds, ...}, card_assigns, bits, bisim_depth, datatypes, ...} : scope) = @@ -180,7 +173,6 @@ maxes (), iters (), miscs ())) () end -(* scope -> bool -> Pretty.T list *) fun pretties_for_scope scope verbose = let val (primary_cards, secondary_cards, maxes, iters, bisim_depths) = @@ -198,7 +190,6 @@ else serial_commas "and" ss |> map Pretty.str |> Pretty.breaks end -(* scope -> string *) fun multiline_string_for_scope scope = let val (primary_cards, secondary_cards, maxes, iters, bisim_depths) = @@ -213,47 +204,35 @@ | lines => space_implode "\n" lines end -(* scope * scope -> bool *) fun scopes_equivalent (s1 : scope, s2 : scope) = #datatypes s1 = #datatypes s2 andalso #card_assigns s1 = #card_assigns s2 fun scope_less_eq (s1 : scope) (s2 : scope) = (s1, s2) |> pairself (map snd o #card_assigns) |> op ~~ |> forall (op <=) -(* row -> int *) fun rank_of_row (_, ks) = length ks -(* block -> int *) fun rank_of_block block = fold Integer.max (map rank_of_row block) 1 -(* int -> typ * int list -> typ * int list *) fun project_row column (y, ks) = (y, [nth ks (Int.min (column, length ks - 1))]) -(* int -> block -> block *) fun project_block (column, block) = map (project_row column) block -(* (''a * ''a -> bool) -> (''a option * int list) list -> ''a -> int list *) fun lookup_ints_assign eq assigns key = case triple_lookup eq assigns key of SOME ks => ks | NONE => raise ARG ("Nitpick_Scope.lookup_ints_assign", "") -(* theory -> (typ option * int list) list -> typ -> int list *) fun lookup_type_ints_assign thy assigns T = map (Integer.max 1) (lookup_ints_assign (type_match thy) assigns T) handle ARG ("Nitpick_Scope.lookup_ints_assign", _) => raise TYPE ("Nitpick_Scope.lookup_type_ints_assign", [T], []) -(* theory -> (styp option * int list) list -> styp -> int list *) fun lookup_const_ints_assign thy assigns x = lookup_ints_assign (const_match thy) assigns x handle ARG ("Nitpick_Scope.lookup_ints_assign", _) => raise TERM ("Nitpick_Scope.lookup_const_ints_assign", [Const x]) -(* theory -> (styp option * int list) list -> styp -> row option *) fun row_for_constr thy maxes_assigns constr = SOME (Max constr, lookup_const_ints_assign thy maxes_assigns constr) handle TERM ("lookup_const_ints_assign", _) => NONE val max_bits = 31 (* Kodkod limit *) -(* hol_context -> bool -> (typ option * int list) list - -> (styp option * int list) list -> (styp option * int list) list -> int list - -> int list -> typ -> block *) fun block_for_type (hol_ctxt as {thy, ...}) binarize cards_assigns maxes_assigns iters_assigns bitss bisim_depths T = if T = @{typ unsigned_bit} then @@ -276,13 +255,9 @@ [_] => [] | constrs => map_filter (row_for_constr thy maxes_assigns) constrs) -(* hol_context -> bool -> (typ option * int list) list - -> (styp option * int list) list -> (styp option * int list) list -> int list - -> int list -> typ list -> typ list -> block list *) fun blocks_for_types hol_ctxt binarize cards_assigns maxes_assigns iters_assigns bitss bisim_depths mono_Ts nonmono_Ts = let - (* typ -> block *) val block_for = block_for_type hol_ctxt binarize cards_assigns maxes_assigns iters_assigns bitss bisim_depths val mono_block = maps block_for mono_Ts @@ -291,10 +266,8 @@ val sync_threshold = 5 -(* int list -> int list list *) fun all_combinations_ordered_smartly ks = let - (* int list -> int *) fun cost_with_monos [] = 0 | cost_with_monos (k :: ks) = if k < sync_threshold andalso forall (curry (op =) k) ks then @@ -315,16 +288,13 @@ |> sort (int_ord o pairself fst) |> map snd end -(* typ -> bool *) fun is_self_recursive_constr_type T = exists (exists_subtype (curry (op =) (body_type T))) (binder_types T) -(* (styp * int) list -> styp -> int *) fun constr_max maxes x = the_default ~1 (AList.lookup (op =) maxes x) type scope_desc = (typ * int) list * (styp * int) list -(* hol_context -> bool -> scope_desc -> typ * int -> bool *) fun is_surely_inconsistent_card_assign hol_ctxt binarize (card_assigns, max_assigns) (T, k) = case binarized_and_boxed_datatype_constrs hol_ctxt binarize T of @@ -335,22 +305,17 @@ map (Integer.prod o map (bounded_card_of_type k ~1 card_assigns) o binder_types o snd) xs val maxes = map (constr_max max_assigns) xs - (* int -> int -> int *) fun effective_max card ~1 = card | effective_max card max = Int.min (card, max) val max = map2 effective_max dom_cards maxes |> Integer.sum in max < k end -(* hol_context -> bool -> (typ * int) list -> (typ * int) list - -> (styp * int) list -> bool *) fun is_surely_inconsistent_scope_description hol_ctxt binarize seen rest max_assigns = exists (is_surely_inconsistent_card_assign hol_ctxt binarize (seen @ rest, max_assigns)) seen -(* hol_context -> bool -> scope_desc -> (typ * int) list option *) fun repair_card_assigns hol_ctxt binarize (card_assigns, max_assigns) = let - (* (typ * int) list -> (typ * int) list -> (typ * int) list option *) fun aux seen [] = SOME seen | aux _ ((_, 0) :: _) = NONE | aux seen ((T, k) :: rest) = @@ -364,7 +329,6 @@ handle SAME () => aux seen ((T, k - 1) :: rest) in aux [] (rev card_assigns) end -(* theory -> (typ * int) list -> typ * int -> typ * int *) fun repair_iterator_assign thy assigns (T as Type (_, Ts), k) = (T, if T = @{typ bisim_iterator} then let @@ -378,15 +342,12 @@ k) | repair_iterator_assign _ _ assign = assign -(* row -> scope_desc -> scope_desc *) fun add_row_to_scope_descriptor (kind, ks) (card_assigns, max_assigns) = case kind of Card T => ((T, the_single ks) :: card_assigns, max_assigns) | Max x => (card_assigns, (x, the_single ks) :: max_assigns) -(* block -> scope_desc *) fun scope_descriptor_from_block block = fold_rev add_row_to_scope_descriptor block ([], []) -(* hol_context -> bool -> block list -> int list -> scope_desc option *) fun scope_descriptor_from_combination (hol_ctxt as {thy, ...}) binarize blocks columns = let @@ -400,11 +361,8 @@ end handle Option.Option => NONE -(* (typ * int) list -> dtype_spec list -> int Typtab.table *) fun offset_table_for_card_assigns assigns dtypes = let - (* int -> (int * int) list -> (typ * int) list -> int Typtab.table - -> int Typtab.table *) fun aux next _ [] = Typtab.update_new (dummyT, next) | aux next reusable ((T, k) :: assigns) = if k = 1 orelse is_iterator_type T orelse is_integer_type T @@ -420,18 +378,14 @@ #> aux (next + k) ((k, next) :: reusable) assigns in aux 0 [] assigns Typtab.empty end -(* int -> (typ * int) list -> typ -> int *) fun domain_card max card_assigns = Integer.prod o map (bounded_card_of_type max max card_assigns) o binder_types -(* scope_desc -> bool -> int -> (int -> int) -> int -> int -> bool * styp - -> constr_spec list -> constr_spec list *) fun add_constr_spec (card_assigns, max_assigns) co card sum_dom_cards num_self_recs num_non_self_recs (self_rec, x as (_, T)) constrs = let val max = constr_max max_assigns x - (* unit -> int *) fun next_delta () = if null constrs then 0 else #epsilon (hd constrs) val {delta, epsilon, exclusive, total} = if max = 0 then @@ -467,7 +421,6 @@ explicit_max = max, total = total} :: constrs end -(* hol_context -> bool -> typ list -> (typ * int) list -> typ -> bool *) fun has_exact_card hol_ctxt facto finitizable_dataTs card_assigns T = let val card = card_of_type card_assigns T in card = bounded_exact_card_of_type hol_ctxt @@ -475,8 +428,6 @@ card_assigns T end -(* hol_context -> bool -> typ list -> typ list -> scope_desc -> typ * int - -> dtype_spec *) fun datatype_spec_from_scope_descriptor (hol_ctxt as {thy, stds, ...}) binarize deep_dataTs finitizable_dataTs (desc as (card_assigns, _)) (T, card) = let @@ -487,7 +438,6 @@ val self_recs = map (is_self_recursive_constr_type o snd) xs val (num_self_recs, num_non_self_recs) = List.partition I self_recs |> pairself length - (* bool -> bool *) fun is_complete facto = has_exact_card hol_ctxt facto finitizable_dataTs card_assigns T fun is_concrete facto = @@ -497,7 +447,6 @@ card_assigns) val complete = pair_from_fun is_complete val concrete = pair_from_fun is_concrete - (* int -> int *) fun sum_dom_cards max = map (domain_card max card_assigns o snd) xs |> Integer.sum val constrs = @@ -509,7 +458,6 @@ concrete = concrete, deep = deep, constrs = constrs} end -(* hol_context -> bool -> int -> typ list -> typ list -> scope_desc -> scope *) fun scope_from_descriptor (hol_ctxt as {thy, stds, ...}) binarize sym_break deep_dataTs finitizable_dataTs (desc as (card_assigns, _)) = @@ -530,8 +478,6 @@ else offset_table_for_card_assigns card_assigns datatypes} end -(* theory -> typ list -> (typ option * int list) list - -> (typ option * int list) list *) fun repair_cards_assigns_wrt_boxing_etc _ _ [] = [] | repair_cards_assigns_wrt_boxing_etc thy Ts ((SOME T, ks) :: cards_assigns) = (if is_fun_type T orelse is_pair_type T then @@ -545,9 +491,6 @@ val max_scopes = 4096 val distinct_threshold = 512 -(* hol_context -> bool -> int -> (typ option * int list) list - -> (styp option * int list) list -> (styp option * int list) list -> int list - -> typ list -> typ list -> typ list ->typ list -> int * scope list *) fun all_scopes (hol_ctxt as {thy, ...}) binarize sym_break cards_assigns maxes_assigns iters_assigns bitss bisim_depths mono_Ts nonmono_Ts deep_dataTs finitizable_dataTs = diff -r 76d5fd5a45fb -r ff5f88702590 src/HOL/Tools/Nitpick/nitpick_tests.ML --- a/src/HOL/Tools/Nitpick/nitpick_tests.ML Sat Apr 24 16:17:30 2010 +0200 +++ b/src/HOL/Tools/Nitpick/nitpick_tests.ML Sat Apr 24 16:33:01 2010 +0200 @@ -292,7 +292,6 @@ *) ] -(* Proof.context -> string * nut -> Kodkod.problem *) fun problem_for_nut ctxt (name, u) = let val debug = false @@ -319,7 +318,6 @@ formula = formula} end -(* unit -> unit *) fun run_all_tests () = case Kodkod.solve_any_problem false NONE 0 1 (map (problem_for_nut @{context}) tests) of diff -r 76d5fd5a45fb -r ff5f88702590 src/HOL/Tools/Nitpick/nitpick_util.ML --- a/src/HOL/Tools/Nitpick/nitpick_util.ML Sat Apr 24 16:17:30 2010 +0200 +++ b/src/HOL/Tools/Nitpick/nitpick_util.ML Sat Apr 24 16:33:01 2010 +0200 @@ -85,24 +85,18 @@ val nitpick_prefix = "Nitpick." -(* ('a * 'b * 'c -> 'd) -> 'a -> 'b -> 'c -> 'd *) fun curry3 f = fn x => fn y => fn z => f (x, y, z) fun pairf f g x = (f x, g x) -(* (bool -> 'a) -> 'a * 'a *) fun pair_from_fun f = (f false, f true) -(* 'a * 'a -> bool -> 'a *) fun fun_from_pair (f, t) b = if b then t else f -(* bool -> int *) fun int_from_bool b = if b then 1 else 0 -(* int -> int -> int *) fun nat_minus i j = if i > j then i - j else 0 val max_exponent = 16384 -(* int -> int -> int *) fun reasonable_power _ 0 = 1 | reasonable_power a 1 = a | reasonable_power 0 _ = 0 @@ -119,7 +113,6 @@ c * c * reasonable_power a (b mod 2) end -(* int -> int -> int *) fun exact_log m n = let val r = Math.ln (Real.fromInt n) / Math.ln (Real.fromInt m) |> Real.round @@ -131,7 +124,6 @@ commas (map signed_string_of_int [m, n])) end -(* int -> int -> int *) fun exact_root m n = let val r = Math.pow (Real.fromInt n, 1.0 / (Real.fromInt m)) |> Real.round in if reasonable_power r m = n then @@ -141,22 +133,16 @@ commas (map signed_string_of_int [m, n])) end -(* ('a -> 'a -> 'a) -> 'a list -> 'a *) fun fold1 f = foldl1 (uncurry f) -(* int -> 'a list -> 'a list *) fun replicate_list 0 _ = [] | replicate_list n xs = xs @ replicate_list (n - 1) xs -(* int list -> int list *) fun offset_list ns = rev (tl (fold (fn x => fn xs => (x + hd xs) :: xs) ns [0])) -(* int -> int -> int list *) fun index_seq j0 n = if j0 < 0 then j0 downto j0 - n + 1 else j0 upto j0 + n - 1 -(* int list -> 'a list -> 'a list *) fun filter_indices js xs = let - (* int -> int list -> 'a list -> 'a list *) fun aux _ [] _ = [] | aux i (j :: js) (x :: xs) = if i = j then x :: aux (i + 1) js xs else aux (i + 1) (j :: js) xs @@ -165,7 +151,6 @@ in aux 0 js xs end fun filter_out_indices js xs = let - (* int -> int list -> 'a list -> 'a list *) fun aux _ [] xs = xs | aux i (j :: js) (x :: xs) = if i = j then aux (i + 1) js xs else x :: aux (i + 1) (j :: js) xs @@ -173,86 +158,66 @@ "indices unordered or out of range") in aux 0 js xs end -(* 'a list -> 'a list list -> 'a list list *) fun cartesian_product [] _ = [] | cartesian_product (x :: xs) yss = map (cons x) yss @ cartesian_product xs yss -(* 'a list list -> 'a list list *) fun n_fold_cartesian_product xss = fold_rev cartesian_product xss [[]] -(* ''a list -> (''a * ''a) list *) fun all_distinct_unordered_pairs_of [] = [] | all_distinct_unordered_pairs_of (x :: xs) = map (pair x) xs @ all_distinct_unordered_pairs_of xs -(* (int * int) list -> int -> int list *) val nth_combination = let - (* (int * int) list -> int -> int list * int *) fun aux [] n = ([], n) | aux ((k, j0) :: xs) n = let val (js, n) = aux xs n in ((n mod k) + j0 :: js, n div k) end in fst oo aux end -(* (int * int) list -> int list list *) val all_combinations = n_fold_cartesian_product o map (uncurry index_seq o swap) -(* 'a list -> 'a list list *) fun all_permutations [] = [[]] | all_permutations xs = maps (fn j => map (cons (nth xs j)) (all_permutations (nth_drop j xs))) (index_seq 0 (length xs)) -(* int -> 'a list -> 'a list list *) fun batch_list _ [] = [] | batch_list k xs = if length xs <= k then [xs] else List.take (xs, k) :: batch_list k (List.drop (xs, k)) -(* int list -> 'a list -> 'a list list *) fun chunk_list_unevenly _ [] = [] | chunk_list_unevenly [] ys = map single ys | chunk_list_unevenly (k :: ks) ys = let val (ys1, ys2) = chop k ys in ys1 :: chunk_list_unevenly ks ys2 end -(* ('a -> 'b -> 'c -> 'd) -> 'a list -> 'b list -> 'c list -> 'd list *) fun map3 _ [] [] [] = [] | map3 f (x :: xs) (y :: ys) (z :: zs) = f x y z :: map3 f xs ys zs | map3 _ _ _ _ = raise UnequalLengths -(* ('a * 'a -> bool) -> ('a option * 'b) list -> 'a -> 'b option *) fun double_lookup eq ps key = case AList.lookup (fn (SOME x, SOME y) => eq (x, y) | _ => false) ps (SOME key) of SOME z => SOME z | NONE => ps |> find_first (is_none o fst) |> Option.map snd -(* (''a * ''a -> bool) -> (''a option * 'b) list -> ''a -> 'b option *) fun triple_lookup _ [(NONE, z)] _ = SOME z | triple_lookup eq ps key = case AList.lookup (op =) ps (SOME key) of SOME z => SOME z | NONE => double_lookup eq ps key -(* string -> string -> bool *) fun is_substring_of needle stack = not (Substring.isEmpty (snd (Substring.position needle (Substring.full stack)))) -(* int -> string *) val plural_s = Sledgehammer_Util.plural_s -(* 'a list -> string *) fun plural_s_for_list xs = plural_s (length xs) -(* string -> string list -> string list *) val serial_commas = Sledgehammer_Util.serial_commas -(* unit -> string *) val timestamp = Sledgehammer_Util.timestamp -(* bool -> string -> string -> bool option *) val parse_bool_option = Sledgehammer_Util.parse_bool_option -(* string -> string -> Time.time option *) val parse_time_option = Sledgehammer_Util.parse_time_option -(* polarity -> polarity *) fun flip_polarity Pos = Neg | flip_polarity Neg = Pos | flip_polarity Neut = Neut @@ -262,42 +227,32 @@ val nat_T = @{typ nat} val int_T = @{typ int} -(* string -> string *) val subscript = implode o map (prefix "\<^isub>") o explode -(* int -> string *) fun nat_subscript n = (* cheap trick to ensure proper alphanumeric ordering for one- and two-digit numbers *) if n <= 9 then "\<^bsub>" ^ signed_string_of_int n ^ "\<^esub>" else subscript (string_of_int n) -(* Time.time option -> ('a -> 'b) -> 'a -> 'b *) fun time_limit NONE = I | time_limit (SOME delay) = TimeLimit.timeLimit delay -(* Time.time option -> tactic -> tactic *) fun DETERM_TIMEOUT delay tac st = Seq.of_list (the_list (time_limit delay (fn () => SINGLE tac st) ())) -(* ('a -> 'b) -> 'a -> 'b *) fun setmp_show_all_types f = setmp_CRITICAL show_all_types (! show_types orelse ! show_sorts orelse ! show_all_types) f val indent_size = 2 -(* string -> Pretty.T list *) val pstrs = Pretty.breaks o map Pretty.str o space_explode " " -(* XML.tree -> string *) fun plain_string_from_xml_tree t = Buffer.empty |> XML.add_content t |> Buffer.content -(* string -> string *) val unyxml = plain_string_from_xml_tree o YXML.parse -(* string -> bool *) val is_long_identifier = forall Syntax.is_identifier o space_explode "." -(* string -> string *) fun maybe_quote y = let val s = unyxml y in y |> ((not (is_long_identifier (perhaps (try (unprefix "'")) s)) andalso @@ -308,11 +263,8 @@ (* This hash function is recommended in Compilers: Principles, Techniques, and Tools, by Aho, Sethi and Ullman. The hashpjw function, which they particularly recommend, triggers a bug in versions of Poly/ML up to 4.2.0. *) -(* word * word -> word *) fun hashw (u, w) = Word.+ (u, Word.* (0w65599, w)) -(* Char.char * word -> word *) fun hashw_char (c, w) = hashw (Word.fromInt (Char.ord c), w) -(* string * word -> word *) fun hashw_string (s:string, w) = CharVector.foldl hashw_char w s end;