author | bulwahn |
Thu, 29 Jul 2010 17:27:57 +0200 | |
changeset 38079 | 7fb011dd51de |
parent 38078 | 2afb5f710b84 |
child 38080 | 8c20eb9a388d |
permissions | -rw-r--r-- |
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(* Title: HOL/Tools/Predicate_Compile/code_prolog.ML |
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Author: Lukas Bulwahn, TU Muenchen |
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Prototype of an code generator for logic programming languages (a.k.a. Prolog) |
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*) |
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signature CODE_PROLOG = |
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sig |
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datatype prol_term = Var of string * typ | Cons of string | AppF of string * prol_term list; |
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datatype prem = Conj of prem list | NotRel of string * prol_term list |
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| Rel of string * prol_term list | Eq of prol_term * prol_term | NotEq of prol_term * prol_term; |
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type clause = ((string * prol_term list) * prem); |
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type logic_program = clause list; |
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type constant_table = (string * string) list |
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val generate : Proof.context -> string list -> (logic_program * constant_table) |
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val write_program : logic_program -> string |
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val run : logic_program -> string -> string list -> int option -> prol_term list list |
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val trace : bool Unsynchronized.ref |
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end; |
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structure Code_Prolog : CODE_PROLOG = |
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struct |
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(* diagnostic tracing *) |
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val trace = Unsynchronized.ref false |
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fun tracing s = if !trace then Output.tracing s else () |
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(* general string functions *) |
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val first_upper = implode o nth_map 0 Symbol.to_ascii_upper o explode; |
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val first_lower = implode o nth_map 0 Symbol.to_ascii_lower o explode; |
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(* internal program representation *) |
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datatype prol_term = Var of string * typ | Cons of string | AppF of string * prol_term list; |
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fun string_of_prol_term (Var (s, T)) = "Var " ^ s |
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| string_of_prol_term (Cons s) = "Cons " ^ s |
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| string_of_prol_term (AppF (f, args)) = f ^ "(" ^ commas (map string_of_prol_term args) ^ ")" |
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datatype prem = Conj of prem list | NotRel of string * prol_term list |
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| Rel of string * prol_term list | Eq of prol_term * prol_term | NotEq of prol_term * prol_term; |
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fun dest_Rel (Rel (c, ts)) = (c, ts) |
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type clause = ((string * prol_term list) * prem); |
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type logic_program = clause list; |
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(* translation from introduction rules to internal representation *) |
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(** constant table **) |
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type constant_table = (string * string) list |
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(* assuming no clashing *) |
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fun mk_constant_table consts = |
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AList.make (first_lower o Long_Name.base_name) consts |
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fun declare_consts consts constant_table = |
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fold (fn c => AList.update (op =) (c, first_lower (Long_Name.base_name c))) consts constant_table |
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fun translate_const constant_table c = |
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case AList.lookup (op =) constant_table c of |
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SOME c' => c' |
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| NONE => error ("No such constant: " ^ c) |
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fun inv_lookup _ [] _ = NONE |
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| inv_lookup eq ((key, value)::xs) value' = |
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if eq (value', value) then SOME key |
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else inv_lookup eq xs value'; |
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fun restore_const constant_table c = |
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case inv_lookup (op =) constant_table c of |
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SOME c' => c' |
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| NONE => error ("No constant corresponding to " ^ c) |
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(** translation of terms, literals, premises, and clauses **) |
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fun translate_term ctxt constant_table t = |
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case strip_comb t of |
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(Free (v, T), []) => Var (v, T) |
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| (Const (c, _), []) => Cons (translate_const constant_table c) |
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| (Const (c, _), args) => |
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AppF (translate_const constant_table c, map (translate_term ctxt constant_table) args) |
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| _ => error ("illegal term for translation: " ^ Syntax.string_of_term ctxt t) |
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fun translate_literal ctxt constant_table t = |
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case strip_comb t of |
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(Const (@{const_name "op ="}, _), [l, r]) => |
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Eq (pairself (translate_term ctxt constant_table) (l, r)) |
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| (Const (c, _), args) => |
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Rel (translate_const constant_table c, map (translate_term ctxt constant_table) args) |
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| _ => error ("illegal literal for translation: " ^ Syntax.string_of_term ctxt t) |
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fun NegRel_of (Rel lit) = NotRel lit |
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| NegRel_of (Eq eq) = NotEq eq |
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fun translate_prem ctxt constant_table t = |
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case try HOLogic.dest_not t of |
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SOME t => NegRel_of (translate_literal ctxt constant_table t) |
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| NONE => translate_literal ctxt constant_table t |
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fun translate_intros ctxt gr const constant_table = |
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val intros = Graph.get_node gr const |
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val (intros', ctxt') = Variable.import_terms true (map prop_of intros) ctxt |
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val constant_table' = declare_consts (fold Term.add_const_names intros' []) constant_table |
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fun translate_intro intro = |
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let |
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val head = HOLogic.dest_Trueprop (Logic.strip_imp_concl intro) |
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val prems = map HOLogic.dest_Trueprop (Logic.strip_imp_prems intro) |
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val prems' = Conj (map (translate_prem ctxt' constant_table') prems) |
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val clause = (dest_Rel (translate_literal ctxt' constant_table' head), prems') |
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in clause end |
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in (map translate_intro intros', constant_table') end |
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fun generate ctxt const = |
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let |
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fun strong_conn_of gr keys = |
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Graph.strong_conn (Graph.subgraph (member (op =) (Graph.all_succs gr keys)) gr) |
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val gr = Predicate_Compile_Core.intros_graph_of ctxt |
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val scc = strong_conn_of gr const |
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val constant_table = mk_constant_table (flat scc) |
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in |
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apfst flat (fold_map (translate_intros ctxt gr) (flat scc) constant_table) |
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end |
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(* transform logic program *) |
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(** ensure groundness of terms before negation **) |
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fun add_vars (Var x) vs = insert (op =) x vs |
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| add_vars (Cons c) vs = vs |
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| add_vars (AppF (f, args)) vs = fold add_vars args vs |
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fun string_of_typ (Type (s, Ts)) = Long_Name.base_name s |
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fun mk_groundness_prems ts = |
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let |
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val vars = fold add_vars ts [] |
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fun mk_ground (v, T) = |
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Rel ("ground_" ^ string_of_typ T, [Var (v, T)]) |
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in |
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map mk_ground vars |
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end |
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fun ensure_groundness_prem (NotRel (c, ts)) = Conj (mk_groundness_prems ts @ [NotRel (c, ts)]) |
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| ensure_groundness_prem (NotEq (l, r)) = Conj (mk_groundness_prems [l, r] @ [NotEq (l, r)]) |
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| ensure_groundness_prem (Conj ps) = Conj (map ensure_groundness_prem ps) |
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| ensure_groundness_prem p = p |
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fun ensure_groundness_before_negation p = |
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map (apsnd ensure_groundness_prem) p |
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(* code printer *) |
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fun write_term (Var (v, _)) = first_upper v |
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| write_term (Cons c) = c |
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| write_term (AppF (f, args)) = f ^ "(" ^ space_implode ", " (map write_term args) ^ ")" |
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fun write_rel (pred, args) = |
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pred ^ "(" ^ space_implode ", " (map write_term args) ^ ")" |
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fun write_prem (Conj prems) = space_implode ", " (map write_prem prems) |
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| write_prem (Rel p) = write_rel p |
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| write_prem (NotRel p) = "not(" ^ write_rel p ^ ")" |
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| write_prem (Eq (l, r)) = write_term l ^ " = " ^ write_term r |
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| write_prem (NotEq (l, r)) = write_term l ^ " \\= " ^ write_term r |
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fun write_clause (head, prem) = |
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write_rel head ^ (if prem = Conj [] then "." else " :- " ^ write_prem prem ^ ".") |
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fun write_program p = |
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cat_lines (map write_clause p) |
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(** query templates **) |
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fun query_first rel vnames = |
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"eval :- once(" ^ rel ^ "(" ^ space_implode ", " vnames ^ ")),\n" ^ |
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"writef('" ^ implode (map (fn v => v ^ " = %w; ") vnames) ^"\\n', [" ^ space_implode ", " vnames ^ "]).\n" |
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fun query_firstn n rel vnames = |
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"eval :- findnsols(" ^ string_of_int n ^ ", (" ^ space_implode ", " vnames ^ "), " ^ |
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rel ^ "(" ^ space_implode ", " vnames ^ "), Sols), writelist(Sols).\n" ^ |
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"writelist([]).\n" ^ |
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"writelist([(" ^ space_implode ", " vnames ^ ")|T]) :- " ^ |
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"writef('" ^ space_implode ";" (map (fn v => v ^ " = %w") vnames) ^ |
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"\\n', [" ^ space_implode ", " vnames ^ "]), writelist(T).\n" |
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val prelude = |
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"#!/usr/bin/swipl -q -t main -f\n\n" ^ |
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":- use_module(library('dialect/ciao/aggregates')).\n" ^ |
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":- style_check(-singleton).\n\n" ^ |
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"main :- catch(eval, E, (print_message(error, E), fail)), halt.\n" ^ |
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"main :- halt(1).\n" |
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(* parsing prolog solution *) |
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val scan_atom = |
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Scan.many1 (fn s => Symbol.is_ascii_lower s orelse Symbol.is_ascii_quasi s) |
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val scan_var = |
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Scan.many1 |
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(fn s => Symbol.is_ascii_upper s orelse Symbol.is_ascii_digit s orelse Symbol.is_ascii_quasi s) |
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val scan_ident = |
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Scan.repeat (Scan.one |
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(fn s => Symbol.is_ascii_letter s orelse Symbol.is_ascii_digit s orelse Symbol.is_ascii_quasi s)) |
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213 |
||
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fun dest_Char (Symbol.Char s) = s |
215 |
||
216 |
val string_of = concat o map (dest_Char o Symbol.decode) |
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||
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val is_atom_ident = forall Symbol.is_ascii_lower |
219 |
||
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val is_var_ident = |
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forall (fn s => Symbol.is_ascii_upper s orelse Symbol.is_ascii_digit s orelse Symbol.is_ascii_quasi s) |
|
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|
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fun scan_terms xs = (((scan_term --| $$ ",") ::: scan_terms) |
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|| (scan_term >> single)) xs |
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and scan_term xs = |
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((scan_var >> (fn s => Var (string_of s, dummyT))) |
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|| ((scan_atom -- ($$ "(" |-- scan_terms --| $$ ")")) |
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>> (fn (f, ts) => AppF (string_of f, ts))) |
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|| (scan_atom >> (Cons o string_of))) xs |
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230 |
|
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val parse_term = fst o Scan.finite Symbol.stopper |
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(Scan.error (!! (fn _ => raise Fail "parsing prolog output failed")) scan_term) |
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o explode |
234 |
||
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fun parse_solutions sol = |
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let |
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fun dest_eq s = case space_explode "=" s of |
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(l :: r :: []) => parse_term (unprefix " " r) |
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| _ => raise Fail "unexpected equation in prolog output" |
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fun parse_solution s = map dest_eq (space_explode ";" s) |
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in |
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map parse_solution (fst (split_last (space_explode "\n" sol))) |
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end |
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|
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(* calling external interpreter and getting results *) |
|
246 |
||
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fun run p query_rel vnames nsols = |
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let |
249 |
val cmd = Path.named_root |
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val query = case nsols of NONE => query_first | SOME n => query_firstn n |
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val prog = prelude ^ query query_rel vnames ^ write_program p |
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val _ = tracing ("Generated prolog program:\n" ^ prog) |
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val prolog_file = File.tmp_path (Path.basic "prolog_file") |
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val _ = File.write prolog_file prog |
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val (solution, _) = bash_output ("/usr/local/bin/swipl -f " ^ File.shell_path prolog_file) |
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val _ = tracing ("Prolog returned solution(s):\n" ^ solution) |
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val tss = parse_solutions solution |
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in |
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tss |
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end |
261 |
||
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(* values command *) |
263 |
||
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fun restore_term ctxt constant_table (Var (s, _), T) = Free (s, T) |
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| restore_term ctxt constant_table (Cons s, T) = Const (restore_const constant_table s, T) |
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| restore_term ctxt constant_table (AppF (f, args), T) = |
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let |
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val thy = ProofContext.theory_of ctxt |
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val c = restore_const constant_table f |
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val cT = Sign.the_const_type thy c |
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val (argsT, resT) = strip_type cT |
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val subst = Sign.typ_match thy (resT, T) Vartab.empty |
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val argsT' = map (Envir.subst_type subst) argsT |
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in |
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list_comb (Const (c, Envir.subst_type subst cT), |
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map (restore_term ctxt constant_table) (args ~~ argsT')) |
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277 |
end |
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278 |
|
38075 | 279 |
fun values ctxt soln t_compr = |
280 |
let |
|
281 |
val split = case t_compr of (Const (@{const_name Collect}, _) $ t) => t |
|
282 |
| _ => error ("Not a set comprehension: " ^ Syntax.string_of_term ctxt t_compr); |
|
283 |
val (body, Ts, fp) = HOLogic.strip_psplits split; |
|
284 |
val output_names = Name.variant_list (Term.add_free_names body []) |
|
285 |
(map (fn i => "x" ^ string_of_int i) (1 upto length Ts)) |
|
286 |
val output_frees = map2 (curry Free) output_names (rev Ts) |
|
287 |
val body = subst_bounds (output_frees, body) |
|
288 |
val (pred as Const (name, T), all_args) = |
|
289 |
case strip_comb body of |
|
290 |
(Const (name, T), all_args) => (Const (name, T), all_args) |
|
291 |
| (head, _) => error ("Not a constant: " ^ Syntax.string_of_term ctxt head) |
|
292 |
val vnames = |
|
293 |
case try (map (fst o dest_Free)) all_args of |
|
294 |
SOME vs => vs |
|
295 |
| NONE => error ("Not only free variables in " ^ commas (map (Syntax.string_of_term ctxt) all_args)) |
|
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296 |
val _ = tracing "Generating prolog program..." |
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297 |
val (p, constant_table) = generate ctxt [name] |
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val _ = tracing "Running prolog program..." |
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299 |
val tss = run p (translate_const constant_table name) (map first_upper vnames) soln |
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300 |
val _ = tracing "Restoring terms..." |
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301 |
fun mk_set_comprehension t = |
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302 |
let |
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|
303 |
val frees = Term.add_frees t [] |
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304 |
val uu as (uuN, uuT) = singleton (Variable.variant_frees ctxt [t]) ("uu", fastype_of t) |
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|
305 |
in HOLogic.mk_Collect (uuN, uuT, fold (fn (s, T) => fn t => HOLogic.mk_exists (s, T, t)) |
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|
306 |
frees (HOLogic.mk_conj (HOLogic.mk_eq (Free uu, t), @{term "True"}))) end |
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|
307 |
val set_comprs = map (fn ts => |
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|
308 |
mk_set_comprehension (HOLogic.mk_tuple (map (restore_term ctxt constant_table) (ts ~~ Ts)))) tss |
38075 | 309 |
in |
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|
310 |
foldl1 (HOLogic.mk_binop @{const_name sup}) (set_comprs @ [Free ("...", fastype_of t_compr)]) |
38075 | 311 |
end |
312 |
||
313 |
fun values_cmd print_modes soln raw_t state = |
|
314 |
let |
|
315 |
val ctxt = Toplevel.context_of state |
|
316 |
val t = Syntax.read_term ctxt raw_t |
|
317 |
val t' = values ctxt soln t |
|
318 |
val ty' = Term.type_of t' |
|
319 |
val ctxt' = Variable.auto_fixes t' ctxt |
|
320 |
val p = Print_Mode.with_modes print_modes (fn () => |
|
321 |
Pretty.block [Pretty.quote (Syntax.pretty_term ctxt' t'), Pretty.fbrk, |
|
322 |
Pretty.str "::", Pretty.brk 1, Pretty.quote (Syntax.pretty_typ ctxt' ty')]) (); |
|
323 |
in Pretty.writeln p end; |
|
324 |
||
325 |
||
326 |
(* renewing the values command for Prolog queries *) |
|
327 |
||
328 |
val opt_print_modes = |
|
329 |
Scan.optional (Parse.$$$ "(" |-- Parse.!!! (Scan.repeat1 Parse.xname --| Parse.$$$ ")")) []; |
|
330 |
||
331 |
val _ = Outer_Syntax.improper_command "values" "enumerate and print comprehensions" Keyword.diag |
|
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|
332 |
(opt_print_modes -- Scan.optional (Parse.nat >> SOME) NONE -- Parse.term |
38075 | 333 |
>> (fn ((print_modes, soln), t) => Toplevel.keep |
334 |
(values_cmd print_modes soln t))); |
|
335 |
||
38073 | 336 |
end; |