author | blanchet |
Wed, 17 Sep 2014 17:32:27 +0200 | |
changeset 58361 | 7f2b3b6f6ad1 |
parent 58360 | dee1fd1cc631 |
child 58429 | 0b94858325a5 |
permissions | -rw-r--r-- |
58061 | 1 |
(* Title: HOL/Tools/SMT/smt_translate.ML |
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Author: Sascha Boehme, TU Muenchen |
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Translate theorems into an SMT intermediate format and serialize them. |
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*) |
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signature SMT_TRANSLATE = |
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sig |
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(*intermediate term structure*) |
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datatype squant = SForall | SExists |
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datatype 'a spattern = SPat of 'a list | SNoPat of 'a list |
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datatype sterm = |
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SVar of int | |
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SApp of string * sterm list | |
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SLet of string * sterm * sterm | |
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SQua of squant * string list * sterm spattern list * sterm |
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(*translation configuration*) |
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type sign = { |
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logic: string, |
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sorts: string list, |
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lfp_dtyps: (string * (string * (string * string) list) list) list list, |
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gfp_dtyps: (string * (string * (string * string) list) list) list list, |
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funcs: (string * (string list * string)) list } |
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type config = { |
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logic: term list -> string, |
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fp_kinds: BNF_Util.fp_kind list, |
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serialize: (string * string) list -> string list -> sign -> sterm list -> string } |
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type replay_data = { |
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context: Proof.context, |
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typs: typ Symtab.table, |
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terms: term Symtab.table, |
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ll_defs: term list, |
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rewrite_rules: thm list, |
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assms: (int * thm) list } |
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(*translation*) |
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val add_config: SMT_Util.class * (Proof.context -> config) -> Context.generic -> Context.generic |
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val translate: Proof.context -> (string * string) list -> string list -> (int * thm) list -> |
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string * replay_data |
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end; |
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structure SMT_Translate: SMT_TRANSLATE = |
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struct |
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(* intermediate term structure *) |
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datatype squant = SForall | SExists |
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datatype 'a spattern = SPat of 'a list | SNoPat of 'a list |
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datatype sterm = |
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SVar of int | |
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SApp of string * sterm list | |
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SLet of string * sterm * sterm | |
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SQua of squant * string list * sterm spattern list * sterm |
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(* translation configuration *) |
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type sign = { |
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logic: string, |
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sorts: string list, |
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lfp_dtyps: (string * (string * (string * string) list) list) list list, |
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gfp_dtyps: (string * (string * (string * string) list) list) list list, |
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funcs: (string * (string list * string)) list } |
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type config = { |
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logic: term list -> string, |
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fp_kinds: BNF_Util.fp_kind list, |
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serialize: (string * string) list -> string list -> sign -> sterm list -> string } |
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type replay_data = { |
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context: Proof.context, |
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typs: typ Symtab.table, |
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terms: term Symtab.table, |
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ll_defs: term list, |
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rewrite_rules: thm list, |
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assms: (int * thm) list } |
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(* translation context *) |
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fun add_components_of_typ (Type (s, Ts)) = |
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cons (Long_Name.base_name s) #> fold_rev add_components_of_typ Ts |
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| add_components_of_typ (TFree (s, _)) = cons (perhaps (try (unprefix "'")) s) |
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| add_components_of_typ _ = I; |
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fun suggested_name_of_typ T = space_implode "_" (add_components_of_typ T []); |
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fun suggested_name_of_term (Const (s, _)) = Long_Name.base_name s |
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| suggested_name_of_term (Free (s, _)) = s |
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| suggested_name_of_term _ = Name.uu |
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val empty_tr_context = (Name.context, Typtab.empty, Termtab.empty) |
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val safe_suffix = "$" |
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fun add_typ T proper (cx as (names, typs, terms)) = |
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(case Typtab.lookup typs T of |
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SOME (name, _) => (name, cx) |
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| NONE => |
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let |
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val sugg = Name.desymbolize (SOME true) (suggested_name_of_typ T) ^ safe_suffix |
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val (name, names') = Name.variant sugg names |
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val typs' = Typtab.update (T, (name, proper)) typs |
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in (name, (names', typs', terms)) end) |
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fun add_fun t sort (cx as (names, typs, terms)) = |
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(case Termtab.lookup terms t of |
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SOME (name, _) => (name, cx) |
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| NONE => |
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let |
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val sugg = Name.desymbolize (SOME false) (suggested_name_of_term t) ^ safe_suffix |
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val (name, names') = Name.variant sugg names |
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val terms' = Termtab.update (t, (name, sort)) terms |
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in (name, (names', typs, terms')) end) |
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fun sign_of logic lfp_dtyps gfp_dtyps (_, typs, terms) = { |
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logic = logic, |
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sorts = Typtab.fold (fn (_, (n, true)) => cons n | _ => I) typs [], |
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lfp_dtyps = lfp_dtyps, |
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gfp_dtyps = gfp_dtyps, |
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funcs = Termtab.fold (fn (_, (n, SOME ss)) => cons (n,ss) | _ => I) terms []} |
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fun replay_data_of ctxt ll_defs rules assms (_, typs, terms) = |
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let |
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fun add_typ (T, (n, _)) = Symtab.update (n, T) |
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val typs' = Typtab.fold add_typ typs Symtab.empty |
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fun add_fun (t, (n, _)) = Symtab.update (n, t) |
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val terms' = Termtab.fold add_fun terms Symtab.empty |
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in |
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{context = ctxt, typs = typs', terms = terms', ll_defs = ll_defs, rewrite_rules = rules, |
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assms = assms} |
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end |
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(* preprocessing *) |
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|
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(** (co)datatype declarations **) |
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fun collect_co_datatypes fp_kinds (tr_context, ctxt) ts = |
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let |
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val (lfp_declss, ctxt') = |
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([], ctxt) |
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|> member (op =) fp_kinds BNF_Util.Least_FP |
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? fold (Term.fold_types (SMT_Datatypes.add_decls BNF_Util.Least_FP)) ts |
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val (gfp_declss, ctxt'') = |
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([], ctxt') |
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|> member (op =) fp_kinds BNF_Util.Greatest_FP |
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? fold (Term.fold_types (SMT_Datatypes.add_decls BNF_Util.Greatest_FP)) ts |
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val fp_declsss = [lfp_declss, gfp_declss] |
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fun is_decl_typ T = exists (exists (exists (equal T o fst))) fp_declsss |
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fun add_typ' T proper = |
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(case SMT_Builtin.dest_builtin_typ ctxt'' T of |
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SOME n => pair n |
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| NONE => add_typ T proper) |
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fun tr_select sel = |
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let val T = Term.range_type (Term.fastype_of sel) |
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in add_fun sel NONE ##>> add_typ' T (not (is_decl_typ T)) end |
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fun tr_constr (constr, selects) = |
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add_fun constr NONE ##>> fold_map tr_select selects |
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fun tr_typ (T, cases) = add_typ' T false ##>> fold_map tr_constr cases |
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|
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val (lfp_declss', tr_context') = fold_map (fold_map tr_typ) lfp_declss tr_context |
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val (gfp_declss', tr_context'') = fold_map (fold_map tr_typ) gfp_declss tr_context' |
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fun add (constr, selects) = |
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Termtab.update (constr, length selects) #> |
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fold (Termtab.update o rpair 1) selects |
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val funcs = fold (fold (fold (fold add o snd))) fp_declsss Termtab.empty |
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in ((funcs, lfp_declss', gfp_declss', tr_context'', ctxt''), ts) end |
|
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(* FIXME: also return necessary (co)datatype theorems *) |
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|
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(** eta-expand quantifiers, let expressions and built-ins *) |
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|
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local |
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fun eta f T t = Abs (Name.uu, T, f (Term.incr_boundvars 1 t $ Bound 0)) |
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|
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fun exp f T = eta f (Term.domain_type (Term.domain_type T)) |
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|
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fun exp2 T q = |
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let val U = Term.domain_type T |
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in Abs (Name.uu, U, q $ eta I (Term.domain_type U) (Bound 0)) end |
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|
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fun expf k i T t = |
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let val Ts = drop i (fst (SMT_Util.dest_funT k T)) |
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in |
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Term.incr_boundvars (length Ts) t |
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|> fold_rev (fn i => fn u => u $ Bound i) (0 upto length Ts - 1) |
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|> fold_rev (fn T => fn u => Abs (Name.uu, T, u)) Ts |
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end |
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in |
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|
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fun eta_expand ctxt funcs = |
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let |
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fun exp_func t T ts = |
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(case Termtab.lookup funcs t of |
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SOME k => Term.list_comb (t, ts) |> k <> length ts ? expf k (length ts) T |
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| NONE => Term.list_comb (t, ts)) |
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|
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fun expand ((q as Const (@{const_name All}, _)) $ Abs a) = q $ abs_expand a |
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| expand ((q as Const (@{const_name All}, T)) $ t) = q $ exp expand T t |
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| expand (q as Const (@{const_name All}, T)) = exp2 T q |
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| expand ((q as Const (@{const_name Ex}, _)) $ Abs a) = q $ abs_expand a |
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| expand ((q as Const (@{const_name Ex}, T)) $ t) = q $ exp expand T t |
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| expand (q as Const (@{const_name Ex}, T)) = exp2 T q |
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| expand (Const (@{const_name Let}, _) $ t $ u) = expand (Term.betapply (u, t)) |
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| expand (Const (@{const_name Let}, T) $ t) = |
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let val U = Term.domain_type (Term.range_type T) |
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in Abs (Name.uu, U, Bound 0 $ Term.incr_boundvars 1 t) end |
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| expand (Const (@{const_name Let}, T)) = |
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let val U = Term.domain_type (Term.range_type T) |
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in Abs (Name.uu, Term.domain_type T, Abs (Name.uu, U, Bound 0 $ Bound 1)) end |
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| expand t = |
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(case Term.strip_comb t of |
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(u as Const (c as (_, T)), ts) => |
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(case SMT_Builtin.dest_builtin ctxt c ts of |
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SOME (_, k, us, mk) => |
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if k = length us then mk (map expand us) |
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else if k < length us then chop k (map expand us) |>> mk |> Term.list_comb |
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else expf k (length ts) T (mk (map expand us)) |
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| NONE => exp_func u T (map expand ts)) |
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| (u as Free (_, T), ts) => exp_func u T (map expand ts) |
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| (Abs a, ts) => Term.list_comb (abs_expand a, map expand ts) |
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| (u, ts) => Term.list_comb (u, map expand ts)) |
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|
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and abs_expand (n, T, t) = Abs (n, T, expand t) |
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|
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in map expand end |
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|
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239 |
end |
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|
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|
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(** introduce explicit applications **) |
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|
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local |
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(* |
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Make application explicit for functions with varying number of arguments. |
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*) |
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|
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fun add t i = apfst (Termtab.map_default (t, i) (Integer.min i)) |
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fun add_type T = apsnd (Typtab.update (T, ())) |
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|
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fun min_arities t = |
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(case Term.strip_comb t of |
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(u as Const _, ts) => add u (length ts) #> fold min_arities ts |
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| (u as Free _, ts) => add u (length ts) #> fold min_arities ts |
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| (Abs (_, T, u), ts) => (can dest_funT T ? add_type T) #> min_arities u #> fold min_arities ts |
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| (_, ts) => fold min_arities ts) |
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|
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fun minimize types t i = |
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let |
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fun find_min j [] _ = j |
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| find_min j (U :: Us) T = |
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if Typtab.defined types T then j else find_min (j + 1) Us (U --> T) |
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|
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val (Ts, T) = Term.strip_type (Term.type_of t) |
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in find_min 0 (take i (rev Ts)) T end |
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|
57230 | 268 |
fun app u (t, T) = (Const (@{const_name fun_app}, T --> T) $ t $ u, Term.range_type T) |
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|
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fun apply i t T ts = |
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let |
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val (ts1, ts2) = chop i ts |
58061 | 273 |
val (_, U) = SMT_Util.dest_funT i T |
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in fst (fold app ts2 (Term.list_comb (t, ts1), U)) end |
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in |
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276 |
|
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fun intro_explicit_application ctxt funcs ts = |
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let |
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val (arities, types) = fold min_arities ts (Termtab.empty, Typtab.empty) |
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val arities' = Termtab.map (minimize types) arities (* FIXME: highly suspicious *) |
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281 |
|
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fun app_func t T ts = |
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if is_some (Termtab.lookup funcs t) then Term.list_comb (t, ts) |
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else apply (the (Termtab.lookup arities' t)) t T ts |
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285 |
|
58061 | 286 |
fun in_list T f t = SMT_Util.mk_symb_list T (map f (SMT_Util.dest_symb_list t)) |
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287 |
|
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fun traverse Ts t = |
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(case Term.strip_comb t of |
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(q as Const (@{const_name All}, _), [Abs (x, T, u)]) => |
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q $ Abs (x, T, in_trigger (T :: Ts) u) |
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| (q as Const (@{const_name Ex}, _), [Abs (x, T, u)]) => |
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q $ Abs (x, T, in_trigger (T :: Ts) u) |
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| (q as Const (@{const_name Let}, _), [u1, u2 as Abs _]) => |
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q $ traverse Ts u1 $ traverse Ts u2 |
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| (u as Const (c as (_, T)), ts) => |
58061 | 297 |
(case SMT_Builtin.dest_builtin ctxt c ts of |
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SOME (_, k, us, mk) => |
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let |
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val (ts1, ts2) = chop k (map (traverse Ts) us) |
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val U = Term.strip_type T |>> snd o chop k |> (op --->) |
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in apply 0 (mk ts1) U ts2 end |
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| NONE => app_func u T (map (traverse Ts) ts)) |
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| (u as Free (_, T), ts) => app_func u T (map (traverse Ts) ts) |
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| (u as Bound i, ts) => apply 0 u (nth Ts i) (map (traverse Ts) ts) |
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| (Abs (n, T, u), ts) => traverses Ts (Abs (n, T, traverse (T::Ts) u)) ts |
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| (u, ts) => traverses Ts u ts) |
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and in_trigger Ts ((c as @{const trigger}) $ p $ t) = c $ in_pats Ts p $ traverse Ts t |
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| in_trigger Ts t = traverse Ts t |
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and in_pats Ts ps = |
57230 | 311 |
in_list @{typ "pattern symb_list"} (in_list @{typ pattern} (in_pat Ts)) ps |
312 |
and in_pat Ts ((p as Const (@{const_name pat}, _)) $ t) = p $ traverse Ts t |
|
313 |
| in_pat Ts ((p as Const (@{const_name nopat}, _)) $ t) = p $ traverse Ts t |
|
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| in_pat _ t = raise TERM ("bad pattern", [t]) |
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and traverses Ts t ts = Term.list_comb (t, map (traverse Ts) ts) |
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in map (traverse []) ts end |
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317 |
|
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val fun_app_eq = mk_meta_eq @{thm fun_app_def} |
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319 |
|
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320 |
end |
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321 |
|
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322 |
|
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323 |
(** map HOL formulas to FOL formulas (i.e., separate formulas froms terms) **) |
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|
324 |
|
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325 |
local |
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val is_quant = member (op =) [@{const_name All}, @{const_name Ex}] |
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|
327 |
|
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328 |
val fol_rules = [ |
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Let_def, |
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@{lemma "P = True == P" by (rule eq_reflection) simp}, |
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@{lemma "if P then True else False == P" by (rule eq_reflection) simp}] |
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|
332 |
|
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333 |
exception BAD_PATTERN of unit |
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|
334 |
|
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335 |
fun wrap_in_if pat t = |
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if pat then raise BAD_PATTERN () else @{const If (bool)} $ t $ @{const True} $ @{const False} |
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|
337 |
|
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338 |
fun is_builtin_conn_or_pred ctxt c ts = |
58061 | 339 |
is_some (SMT_Builtin.dest_builtin_conn ctxt c ts) orelse |
340 |
is_some (SMT_Builtin.dest_builtin_pred ctxt c ts) |
|
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341 |
in |
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|
342 |
|
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|
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fun folify ctxt = |
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344 |
let |
58061 | 345 |
fun in_list T f t = SMT_Util.mk_symb_list T (map_filter f (SMT_Util.dest_symb_list t)) |
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|
346 |
|
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347 |
fun in_term pat t = |
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(case Term.strip_comb t of |
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|
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(@{const True}, []) => t |
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|
350 |
| (@{const False}, []) => t |
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| (u as Const (@{const_name If}, _), [t1, t2, t3]) => |
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|
352 |
if pat then raise BAD_PATTERN () else u $ in_form t1 $ in_term pat t2 $ in_term pat t3 |
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|
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| (Const (c as (n, _)), ts) => |
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|
354 |
if is_builtin_conn_or_pred ctxt c ts then wrap_in_if pat (in_form t) |
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|
355 |
else if is_quant n then wrap_in_if pat (in_form t) |
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|
356 |
else Term.list_comb (Const c, map (in_term pat) ts) |
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|
357 |
| (Free c, ts) => Term.list_comb (Free c, map (in_term pat) ts) |
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|
358 |
| _ => t) |
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|
359 |
|
57230 | 360 |
and in_pat ((p as Const (@{const_name pat}, _)) $ t) = |
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361 |
p $ in_term true t |
57230 | 362 |
| in_pat ((p as Const (@{const_name nopat}, _)) $ t) = |
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|
363 |
p $ in_term true t |
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|
364 |
| in_pat t = raise TERM ("bad pattern", [t]) |
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|
365 |
|
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|
366 |
and in_pats ps = |
57230 | 367 |
in_list @{typ "pattern symb_list"} (SOME o in_list @{typ pattern} (try in_pat)) ps |
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|
368 |
|
57230 | 369 |
and in_trigger ((c as @{const trigger}) $ p $ t) = c $ in_pats p $ in_form t |
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|
370 |
| in_trigger t = in_form t |
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|
371 |
|
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|
372 |
and in_form t = |
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|
373 |
(case Term.strip_comb t of |
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|
374 |
(q as Const (qn, _), [Abs (n, T, u)]) => |
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|
375 |
if is_quant qn then q $ Abs (n, T, in_trigger u) |
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|
376 |
else in_term false t |
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|
377 |
| (Const c, ts) => |
58061 | 378 |
(case SMT_Builtin.dest_builtin_conn ctxt c ts of |
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379 |
SOME (_, _, us, mk) => mk (map in_form us) |
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|
380 |
| NONE => |
58061 | 381 |
(case SMT_Builtin.dest_builtin_pred ctxt c ts of |
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|
382 |
SOME (_, _, us, mk) => mk (map (in_term false) us) |
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|
383 |
| NONE => in_term false t)) |
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|
384 |
| _ => in_term false t) |
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|
385 |
in |
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|
386 |
map in_form #> |
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|
387 |
pair (fol_rules, I) |
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|
388 |
end |
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|
389 |
|
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|
390 |
end |
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changeset
|
391 |
|
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|
392 |
|
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|
393 |
(* translation into intermediate format *) |
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|
394 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
395 |
(** utility functions **) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
396 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
397 |
val quantifier = (fn |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
398 |
@{const_name All} => SOME SForall |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
399 |
| @{const_name Ex} => SOME SExists |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
400 |
| _ => NONE) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
401 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
402 |
fun group_quant qname Ts (t as Const (q, _) $ Abs (_, T, u)) = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
403 |
if q = qname then group_quant qname (T :: Ts) u else (Ts, t) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
404 |
| group_quant _ Ts t = (Ts, t) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
405 |
|
57230 | 406 |
fun dest_pat (Const (@{const_name pat}, _) $ t) = (t, true) |
407 |
| dest_pat (Const (@{const_name nopat}, _) $ t) = (t, false) |
|
56078
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
408 |
| dest_pat t = raise TERM ("bad pattern", [t]) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
409 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
410 |
fun dest_pats [] = I |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
411 |
| dest_pats ts = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
412 |
(case map dest_pat ts |> split_list ||> distinct (op =) of |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
413 |
(ps, [true]) => cons (SPat ps) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
414 |
| (ps, [false]) => cons (SNoPat ps) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
415 |
| _ => raise TERM ("bad multi-pattern", ts)) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
416 |
|
57230 | 417 |
fun dest_trigger (@{const trigger} $ tl $ t) = |
58061 | 418 |
(rev (fold (dest_pats o SMT_Util.dest_symb_list) (SMT_Util.dest_symb_list tl) []), t) |
56078
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
419 |
| dest_trigger t = ([], t) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
420 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
421 |
fun dest_quant qn T t = quantifier qn |> Option.map (fn q => |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
422 |
let |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
423 |
val (Ts, u) = group_quant qn [T] t |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
424 |
val (ps, p) = dest_trigger u |
57165
7b1bf424ec5f
removed SMT weights -- their impact was very inconclusive anyway
blanchet
parents:
56811
diff
changeset
|
425 |
in (q, rev Ts, ps, p) end) |
56078
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
426 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
427 |
fun fold_map_pat f (SPat ts) = fold_map f ts #>> SPat |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
428 |
| fold_map_pat f (SNoPat ts) = fold_map f ts #>> SNoPat |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
429 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
430 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
431 |
(** translation from Isabelle terms into SMT intermediate terms **) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
432 |
|
58361 | 433 |
fun intermediate logic lfp_dtyps gfp_dtyps builtin ctxt ts trx = |
56078
624faeda77b5
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blanchet
parents:
diff
changeset
|
434 |
let |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
435 |
fun transT (T as TFree _) = add_typ T true |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
436 |
| transT (T as TVar _) = (fn _ => raise TYPE ("bad SMT type", [T], [])) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
437 |
| transT (T as Type _) = |
58061 | 438 |
(case SMT_Builtin.dest_builtin_typ ctxt T of |
56078
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
439 |
SOME n => pair n |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
440 |
| NONE => add_typ T true) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
441 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
442 |
fun app n ts = SApp (n, ts) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
443 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
444 |
fun trans t = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
445 |
(case Term.strip_comb t of |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
446 |
(Const (qn, _), [Abs (_, T, t1)]) => |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
447 |
(case dest_quant qn T t1 of |
57165
7b1bf424ec5f
removed SMT weights -- their impact was very inconclusive anyway
blanchet
parents:
56811
diff
changeset
|
448 |
SOME (q, Ts, ps, b) => |
56078
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
449 |
fold_map transT Ts ##>> fold_map (fold_map_pat trans) ps ##>> |
57165
7b1bf424ec5f
removed SMT weights -- their impact was very inconclusive anyway
blanchet
parents:
56811
diff
changeset
|
450 |
trans b #>> (fn ((Ts', ps'), b') => SQua (q, Ts', ps', b')) |
56078
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
451 |
| NONE => raise TERM ("unsupported quantifier", [t])) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
452 |
| (Const (@{const_name Let}, _), [t1, Abs (_, T, t2)]) => |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
453 |
transT T ##>> trans t1 ##>> trans t2 #>> (fn ((U, u1), u2) => SLet (U, u1, u2)) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
454 |
| (u as Const (c as (_, T)), ts) => |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
455 |
(case builtin ctxt c ts of |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
456 |
SOME (n, _, us, _) => fold_map trans us #>> app n |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
457 |
| NONE => transs u T ts) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
458 |
| (u as Free (_, T), ts) => transs u T ts |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
459 |
| (Bound i, []) => pair (SVar i) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
460 |
| _ => raise TERM ("bad SMT term", [t])) |
57230 | 461 |
|
56078
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
462 |
and transs t T ts = |
58061 | 463 |
let val (Us, U) = SMT_Util.dest_funT (length ts) T |
56078
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
464 |
in |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
465 |
fold_map transT Us ##>> transT U #-> (fn Up => |
56104
fd6e132ee4fb
correctly reconstruct helper facts (e.g. 'nat_int') in Isar proofs
blanchet
parents:
56096
diff
changeset
|
466 |
add_fun t (SOME Up) ##>> fold_map trans ts #>> SApp) |
56078
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
467 |
end |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
468 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
469 |
val (us, trx') = fold_map trans ts trx |
58361 | 470 |
in ((sign_of (logic ts) lfp_dtyps gfp_dtyps trx', us), trx') end |
56078
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
471 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
472 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
473 |
(* translation *) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
474 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
475 |
structure Configs = Generic_Data |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
476 |
( |
58061 | 477 |
type T = (Proof.context -> config) SMT_Util.dict |
56078
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
478 |
val empty = [] |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
479 |
val extend = I |
58061 | 480 |
fun merge data = SMT_Util.dict_merge fst data |
56078
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
481 |
) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
482 |
|
58061 | 483 |
fun add_config (cs, cfg) = Configs.map (SMT_Util.dict_update (cs, cfg)) |
56078
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
484 |
|
57230 | 485 |
fun get_config ctxt = |
58061 | 486 |
let val cs = SMT_Config.solver_class_of ctxt |
56078
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
487 |
in |
58061 | 488 |
(case SMT_Util.dict_get (Configs.get (Context.Proof ctxt)) cs of |
56078
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
489 |
SOME cfg => cfg ctxt |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
490 |
| NONE => error ("SMT: no translation configuration found " ^ |
58061 | 491 |
"for solver class " ^ quote (SMT_Util.string_of_class cs))) |
56078
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
492 |
end |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
493 |
|
57239 | 494 |
fun translate ctxt smt_options comments ithms = |
56078
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
495 |
let |
58360 | 496 |
val {logic, fp_kinds, serialize} = get_config ctxt |
56078
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
497 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
498 |
fun no_dtyps (tr_context, ctxt) ts = |
58361 | 499 |
((Termtab.empty, [], [], tr_context, ctxt), ts) |
56078
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
500 |
|
58061 | 501 |
val ts1 = map (Envir.beta_eta_contract o SMT_Util.prop_of o snd) ithms |
56078
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
502 |
|
58361 | 503 |
val ((funcs, lfp_dtyps, gfp_dtyps, tr_context, ctxt1), ts2) = |
56078
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
504 |
((empty_tr_context, ctxt), ts1) |
58361 | 505 |
|-> (if null fp_kinds then no_dtyps else collect_co_datatypes fp_kinds) |
56078
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
506 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
507 |
fun is_binder (Const (@{const_name Let}, _) $ _) = true |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
508 |
| is_binder t = Lambda_Lifting.is_quantifier t |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
509 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
510 |
fun mk_trigger ((q as Const (@{const_name All}, _)) $ Abs (n, T, t)) = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
511 |
q $ Abs (n, T, mk_trigger t) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
512 |
| mk_trigger (eq as (Const (@{const_name HOL.eq}, T) $ lhs $ _)) = |
57230 | 513 |
Term.domain_type T --> @{typ pattern} |
514 |
|> (fn T => Const (@{const_name pat}, T) $ lhs) |
|
58061 | 515 |
|> SMT_Util.mk_symb_list @{typ pattern} o single |
516 |
|> SMT_Util.mk_symb_list @{typ "pattern symb_list"} o single |
|
57230 | 517 |
|> (fn t => @{const trigger} $ t $ eq) |
56078
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
518 |
| mk_trigger t = t |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
519 |
|
57541 | 520 |
val (ctxt2, (ts3, ll_defs)) = |
56078
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
521 |
ts2 |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
522 |
|> eta_expand ctxt1 funcs |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
523 |
|> rpair ctxt1 |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
524 |
|-> Lambda_Lifting.lift_lambdas NONE is_binder |
57541 | 525 |
|-> (fn (ts', ll_defs) => fn ctxt' => |
526 |
(ctxt', (intro_explicit_application ctxt' funcs (map mk_trigger ll_defs @ ts'), ll_defs))) |
|
56078
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
527 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
528 |
val ((rewrite_rules, builtin), ts4) = folify ctxt2 ts3 |
56104
fd6e132ee4fb
correctly reconstruct helper facts (e.g. 'nat_int') in Isar proofs
blanchet
parents:
56096
diff
changeset
|
529 |
|>> apfst (cons fun_app_eq) |
56078
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
530 |
in |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
531 |
(ts4, tr_context) |
58361 | 532 |
|-> intermediate logic lfp_dtyps gfp_dtyps (builtin SMT_Builtin.dest_builtin) ctxt2 |
57239 | 533 |
|>> uncurry (serialize smt_options comments) |
57541 | 534 |
||> replay_data_of ctxt2 ll_defs rewrite_rules ithms |
56078
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
535 |
end |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
536 |
|
57229 | 537 |
end; |