author | blanchet |
Thu, 13 Mar 2014 13:18:13 +0100 | |
changeset 56078 | 624faeda77b5 |
child 56122 | 40f7b45b2472 |
permissions | -rw-r--r-- |
56078
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
1 |
(* Title: HOL/Tools/SMT2/z3_new_proof.ML |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
2 |
Author: Sascha Boehme, TU Muenchen |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
3 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
4 |
Z3 proofs: parsing and abstract syntax tree. |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
5 |
*) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
6 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
7 |
signature Z3_NEW_PROOF = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
8 |
sig |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
9 |
(*proof rules*) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
10 |
datatype z3_rule = True_Axiom | Asserted | Goal | Modus_Ponens | Reflexivity | |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
11 |
Symmetry | Transitivity | Transitivity_Star | Monotonicity | Quant_Intro | |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
12 |
Distributivity | And_Elim | Not_Or_Elim | Rewrite | Rewrite_Star | |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
13 |
Pull_Quant | Pull_Quant_Star | Push_Quant | Elim_Unused_Vars | |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
14 |
Dest_Eq_Res | Quant_Inst | Hypothesis | Lemma | Unit_Resolution | |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
15 |
Iff_True | Iff_False | Commutativity | Def_Axiom | Intro_Def | Apply_Def | |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
16 |
Iff_Oeq | Nnf_Pos | Nnf_Neg | Nnf_Star | Cnf_Star | Skolemize | |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
17 |
Modus_Ponens_Oeq | Th_Lemma of string |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
18 |
val string_of_rule: z3_rule -> string |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
19 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
20 |
(*proofs*) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
21 |
datatype z3_step = Z3_Step of { |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
22 |
id: int, |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
23 |
rule: z3_rule, |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
24 |
prems: int list, |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
25 |
concl: term, |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
26 |
fixes: string list, |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
27 |
is_fix_step: bool} |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
28 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
29 |
(*type and term parsers*) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
30 |
type type_parser = SMTLIB2.tree * typ list -> typ option |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
31 |
type term_parser = SMTLIB2.tree * term list -> term option |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
32 |
val add_type_parser: type_parser -> Context.generic -> Context.generic |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
33 |
val add_term_parser: term_parser -> Context.generic -> Context.generic |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
34 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
35 |
(*proof parser*) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
36 |
val parse: typ Symtab.table -> term Symtab.table -> string list -> |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
37 |
Proof.context -> z3_step list * Proof.context |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
38 |
end |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
39 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
40 |
structure Z3_New_Proof: Z3_NEW_PROOF = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
41 |
struct |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
42 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
43 |
(* proof rules *) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
44 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
45 |
datatype z3_rule = True_Axiom | Asserted | Goal | Modus_Ponens | Reflexivity | |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
46 |
Symmetry | Transitivity | Transitivity_Star | Monotonicity | Quant_Intro | |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
47 |
Distributivity | And_Elim | Not_Or_Elim | Rewrite | Rewrite_Star | |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
48 |
Pull_Quant | Pull_Quant_Star | Push_Quant | Elim_Unused_Vars | Dest_Eq_Res | |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
49 |
Quant_Inst | Hypothesis | Lemma | Unit_Resolution | Iff_True | Iff_False | |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
50 |
Commutativity | Def_Axiom | Intro_Def | Apply_Def | Iff_Oeq | Nnf_Pos | |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
51 |
Nnf_Neg | Nnf_Star | Cnf_Star | Skolemize | Modus_Ponens_Oeq | |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
52 |
Th_Lemma of string |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
53 |
(* TODO: some proof rules come with further information |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
54 |
that is currently dropped by the parser *) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
55 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
56 |
val rule_names = Symtab.make [ |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
57 |
("true-axiom", True_Axiom), |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
58 |
("asserted", Asserted), |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
59 |
("goal", Goal), |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
60 |
("mp", Modus_Ponens), |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
61 |
("refl", Reflexivity), |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
62 |
("symm", Symmetry), |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
63 |
("trans", Transitivity), |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
64 |
("trans*", Transitivity_Star), |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
65 |
("monotonicity", Monotonicity), |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
66 |
("quant-intro", Quant_Intro), |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
67 |
("distributivity", Distributivity), |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
68 |
("and-elim", And_Elim), |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
69 |
("not-or-elim", Not_Or_Elim), |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
70 |
("rewrite", Rewrite), |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
71 |
("rewrite*", Rewrite_Star), |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
72 |
("pull-quant", Pull_Quant), |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
73 |
("pull-quant*", Pull_Quant_Star), |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
74 |
("push-quant", Push_Quant), |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
75 |
("elim-unused", Elim_Unused_Vars), |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
76 |
("der", Dest_Eq_Res), |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
77 |
("quant-inst", Quant_Inst), |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
78 |
("hypothesis", Hypothesis), |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
79 |
("lemma", Lemma), |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
80 |
("unit-resolution", Unit_Resolution), |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
81 |
("iff-true", Iff_True), |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
82 |
("iff-false", Iff_False), |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
83 |
("commutativity", Commutativity), |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
84 |
("def-axiom", Def_Axiom), |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
85 |
("intro-def", Intro_Def), |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
86 |
("apply-def", Apply_Def), |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
87 |
("iff~", Iff_Oeq), |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
88 |
("nnf-pos", Nnf_Pos), |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
89 |
("nnf-neg", Nnf_Neg), |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
90 |
("nnf*", Nnf_Star), |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
91 |
("cnf*", Cnf_Star), |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
92 |
("sk", Skolemize), |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
93 |
("mp~", Modus_Ponens_Oeq)] |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
94 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
95 |
fun rule_of_string name = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
96 |
(case Symtab.lookup rule_names name of |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
97 |
SOME rule => rule |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
98 |
| NONE => error ("unknown Z3 proof rule " ^ quote name)) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
99 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
100 |
fun string_of_rule (Th_Lemma kind) = "th-lemma " ^ kind |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
101 |
| string_of_rule r = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
102 |
let fun eq_rule (s, r') = if r = r' then SOME s else NONE |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
103 |
in the (Symtab.get_first eq_rule rule_names) end |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
104 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
105 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
106 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
107 |
(* proofs *) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
108 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
109 |
datatype z3_node = Z3_Node of { |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
110 |
id: int, |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
111 |
rule: z3_rule, |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
112 |
prems: z3_node list, |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
113 |
concl: term, |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
114 |
bounds: string list} |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
115 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
116 |
fun mk_node id rule prems concl bounds = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
117 |
Z3_Node {id=id, rule=rule, prems=prems, concl=concl, bounds=bounds} |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
118 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
119 |
datatype z3_step = Z3_Step of { |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
120 |
id: int, |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
121 |
rule: z3_rule, |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
122 |
prems: int list, |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
123 |
concl: term, |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
124 |
fixes: string list, |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
125 |
is_fix_step: bool} |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
126 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
127 |
fun mk_step id rule prems concl fixes is_fix_step = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
128 |
Z3_Step {id=id, rule=rule, prems=prems, concl=concl, fixes=fixes, |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
129 |
is_fix_step=is_fix_step} |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
130 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
131 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
132 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
133 |
(* core type and term parser *) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
134 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
135 |
fun core_type_parser (SMTLIB2.Sym "Bool", []) = SOME @{typ HOL.bool} |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
136 |
| core_type_parser (SMTLIB2.Sym "Int", []) = SOME @{typ Int.int} |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
137 |
| core_type_parser _ = NONE |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
138 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
139 |
fun mk_unary n t = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
140 |
let val T = fastype_of t |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
141 |
in Const (n, T --> T) $ t end |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
142 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
143 |
fun mk_binary' n T U t1 t2 = Const (n, [T, T] ---> U) $ t1 $ t2 |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
144 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
145 |
fun mk_binary n t1 t2 = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
146 |
let val T = fastype_of t1 |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
147 |
in mk_binary' n T T t1 t2 end |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
148 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
149 |
fun mk_rassoc f t ts = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
150 |
let val us = rev (t :: ts) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
151 |
in fold f (tl us) (hd us) end |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
152 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
153 |
fun mk_lassoc f t ts = fold (fn u1 => fn u2 => f u2 u1) ts t |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
154 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
155 |
fun mk_lassoc' n = mk_lassoc (mk_binary n) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
156 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
157 |
fun mk_binary_pred n S t1 t2 = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
158 |
let |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
159 |
val T1 = fastype_of t1 |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
160 |
val T2 = fastype_of t2 |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
161 |
val T = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
162 |
if T1 <> Term.dummyT then T1 |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
163 |
else if T2 <> Term.dummyT then T2 |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
164 |
else TVar (("?a", serial ()), S) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
165 |
in mk_binary' n T @{typ HOL.bool} t1 t2 end |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
166 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
167 |
fun mk_less t1 t2 = mk_binary_pred @{const_name ord_class.less} @{sort linorder} t1 t2 |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
168 |
fun mk_less_eq t1 t2 = mk_binary_pred @{const_name ord_class.less_eq} @{sort linorder} t1 t2 |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
169 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
170 |
fun core_term_parser (SMTLIB2.Sym "true", _) = SOME @{const HOL.True} |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
171 |
| core_term_parser (SMTLIB2.Sym "false", _) = SOME @{const HOL.False} |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
172 |
| core_term_parser (SMTLIB2.Sym "not", [t]) = SOME (HOLogic.mk_not t) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
173 |
| core_term_parser (SMTLIB2.Sym "and", t :: ts) = SOME (mk_rassoc (curry HOLogic.mk_conj) t ts) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
174 |
| core_term_parser (SMTLIB2.Sym "or", t :: ts) = SOME (mk_rassoc (curry HOLogic.mk_disj) t ts) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
175 |
| core_term_parser (SMTLIB2.Sym "=>", [t1, t2]) = SOME (HOLogic.mk_imp (t1, t2)) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
176 |
| core_term_parser (SMTLIB2.Sym "implies", [t1, t2]) = SOME (HOLogic.mk_imp (t1, t2)) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
177 |
| core_term_parser (SMTLIB2.Sym "=", [t1, t2]) = SOME (HOLogic.mk_eq (t1, t2)) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
178 |
| core_term_parser (SMTLIB2.Sym "~", [t1, t2]) = SOME (HOLogic.mk_eq (t1, t2)) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
179 |
| core_term_parser (SMTLIB2.Sym "ite", [t1, t2, t3]) = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
180 |
let |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
181 |
val T = fastype_of t2 |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
182 |
val c = Const (@{const_name HOL.If}, [@{typ HOL.bool}, T, T] ---> T) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
183 |
in SOME (c $ t1 $ t2 $ t3) end |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
184 |
| core_term_parser (SMTLIB2.Num i, []) = SOME (HOLogic.mk_number @{typ Int.int} i) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
185 |
| core_term_parser (SMTLIB2.Sym "-", [t]) = SOME (mk_unary @{const_name uminus_class.uminus} t) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
186 |
| core_term_parser (SMTLIB2.Sym "~", [t]) = SOME (mk_unary @{const_name uminus_class.uminus} t) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
187 |
| core_term_parser (SMTLIB2.Sym "+", t :: ts) = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
188 |
SOME (mk_lassoc' @{const_name plus_class.plus} t ts) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
189 |
| core_term_parser (SMTLIB2.Sym "-", t :: ts) = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
190 |
SOME (mk_lassoc' @{const_name minus_class.minus} t ts) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
191 |
| core_term_parser (SMTLIB2.Sym "*", t :: ts) = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
192 |
SOME (mk_lassoc' @{const_name times_class.times} t ts) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
193 |
| core_term_parser (SMTLIB2.Sym "div", [t1, t2]) = SOME (mk_binary @{const_name SMT2.z3div} t1 t2) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
194 |
| core_term_parser (SMTLIB2.Sym "mod", [t1, t2]) = SOME (mk_binary @{const_name SMT2.z3mod} t1 t2) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
195 |
| core_term_parser (SMTLIB2.Sym "<", [t1, t2]) = SOME (mk_less t1 t2) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
196 |
| core_term_parser (SMTLIB2.Sym ">", [t1, t2]) = SOME (mk_less t2 t1) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
197 |
| core_term_parser (SMTLIB2.Sym "<=", [t1, t2]) = SOME (mk_less_eq t1 t2) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
198 |
| core_term_parser (SMTLIB2.Sym ">=", [t1, t2]) = SOME (mk_less_eq t2 t1) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
199 |
| core_term_parser _ = NONE |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
200 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
201 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
202 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
203 |
(* type and term parsers *) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
204 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
205 |
type type_parser = SMTLIB2.tree * typ list -> typ option |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
206 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
207 |
type term_parser = SMTLIB2.tree * term list -> term option |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
208 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
209 |
fun id_ord ((id1, _), (id2, _)) = int_ord (id1, id2) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
210 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
211 |
structure Parsers = Generic_Data |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
212 |
( |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
213 |
type T = (int * type_parser) list * (int * term_parser) list |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
214 |
val empty = ([(serial (), core_type_parser)], [(serial (), core_term_parser)]) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
215 |
val extend = I |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
216 |
fun merge ((tys1, ts1), (tys2, ts2)) = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
217 |
(Ord_List.merge id_ord (tys1, tys2), Ord_List.merge id_ord (ts1, ts2)) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
218 |
) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
219 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
220 |
fun add_type_parser type_parser = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
221 |
Parsers.map (apfst (Ord_List.insert id_ord (serial (), type_parser))) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
222 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
223 |
fun add_term_parser term_parser = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
224 |
Parsers.map (apsnd (Ord_List.insert id_ord (serial (), term_parser))) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
225 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
226 |
fun get_type_parsers ctxt = map snd (fst (Parsers.get (Context.Proof ctxt))) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
227 |
fun get_term_parsers ctxt = map snd (snd (Parsers.get (Context.Proof ctxt))) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
228 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
229 |
fun apply_parsers parsers x = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
230 |
let |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
231 |
fun apply [] = NONE |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
232 |
| apply (parser :: parsers) = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
233 |
(case parser x of |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
234 |
SOME y => SOME y |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
235 |
| NONE => apply parsers) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
236 |
in apply parsers end |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
237 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
238 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
239 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
240 |
(* proof parser context *) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
241 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
242 |
datatype shared = Tree of SMTLIB2.tree | Term of term | Proof of z3_node | None |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
243 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
244 |
type 'a context = { |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
245 |
ctxt: Proof.context, |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
246 |
id: int, |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
247 |
syms: shared Symtab.table, |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
248 |
typs: typ Symtab.table, |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
249 |
funs: term Symtab.table, |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
250 |
extra: 'a} |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
251 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
252 |
fun mk_context ctxt id syms typs funs extra: 'a context = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
253 |
{ctxt=ctxt, id=id, syms=syms, typs=typs, funs=funs, extra=extra} |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
254 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
255 |
fun empty_context ctxt typs funs = mk_context ctxt 1 Symtab.empty typs funs [] |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
256 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
257 |
fun ctxt_of ({ctxt, ...}: 'a context) = ctxt |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
258 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
259 |
fun next_id ({ctxt, id, syms, typs, funs, extra}: 'a context) = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
260 |
(id, mk_context ctxt (id + 1) syms typs funs extra) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
261 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
262 |
fun lookup_binding ({syms, ...}: 'a context) = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
263 |
the_default None o Symtab.lookup syms |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
264 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
265 |
fun map_syms f ({ctxt, id, syms, typs, funs, extra}: 'a context) = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
266 |
mk_context ctxt id (f syms) typs funs extra |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
267 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
268 |
fun update_binding b = map_syms (Symtab.update b) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
269 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
270 |
fun with_bindings bs f cx = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
271 |
let val bs' = map (lookup_binding cx o fst) bs |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
272 |
in |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
273 |
cx |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
274 |
|> fold update_binding bs |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
275 |
|> f |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
276 |
||> fold2 (fn (name, _) => update_binding o pair name) bs bs' |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
277 |
end |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
278 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
279 |
fun lookup_typ ({typs, ...}: 'a context) = Symtab.lookup typs |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
280 |
fun lookup_fun ({funs, ...}: 'a context) = Symtab.lookup funs |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
281 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
282 |
fun fresh_fun add name n T ({ctxt, id, syms, typs, funs, extra}: 'a context) = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
283 |
let |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
284 |
val (n', ctxt') = yield_singleton Variable.variant_fixes n ctxt |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
285 |
val t = Free (n', T) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
286 |
val funs' = Symtab.update (name, t) funs |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
287 |
in (t, mk_context ctxt' id syms typs funs' (add (n', T) extra)) end |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
288 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
289 |
fun declare_fun name n T = snd o fresh_fun cons name n T |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
290 |
fun declare_free name n T = fresh_fun (cons o pair name) name n T |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
291 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
292 |
fun with_fresh_names f ({ctxt, id, syms, typs, funs, extra}: 'a context) = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
293 |
let |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
294 |
fun bind (_, v as (_, T)) t = Logic.all_const T $ Term.absfree v t |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
295 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
296 |
val needs_inferT = equal Term.dummyT orf Term.is_TVar |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
297 |
val needs_infer = Term.exists_type (Term.exists_subtype needs_inferT) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
298 |
fun infer_types ctxt = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
299 |
singleton (Type_Infer_Context.infer_types ctxt) #> |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
300 |
singleton (Proof_Context.standard_term_check_finish ctxt) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
301 |
fun infer ctxt t = if needs_infer t then infer_types ctxt t else t |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
302 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
303 |
type bindings = (string * (string * typ)) list |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
304 |
val (t, {ctxt=ctxt', extra=names, ...}: bindings context) = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
305 |
f (mk_context ctxt id syms typs funs []) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
306 |
val t' = infer ctxt' (fold_rev bind names (HOLogic.mk_Trueprop t)) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
307 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
308 |
in ((t', map fst names), mk_context ctxt id syms typs funs extra) end |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
309 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
310 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
311 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
312 |
(* proof parser *) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
313 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
314 |
exception Z3_PARSE of string * SMTLIB2.tree |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
315 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
316 |
val desymbolize = Name.desymbolize false o perhaps (try (unprefix "?")) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
317 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
318 |
fun parse_type cx ty Ts = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
319 |
(case apply_parsers (get_type_parsers (ctxt_of cx)) (ty, Ts) of |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
320 |
SOME T => T |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
321 |
| NONE => |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
322 |
(case ty of |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
323 |
SMTLIB2.Sym name => |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
324 |
(case lookup_typ cx name of |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
325 |
SOME T => T |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
326 |
| NONE => raise Z3_PARSE ("unknown Z3 type", ty)) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
327 |
| _ => raise Z3_PARSE ("bad Z3 type format", ty))) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
328 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
329 |
fun parse_term t ts cx = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
330 |
(case apply_parsers (get_term_parsers (ctxt_of cx)) (t, ts) of |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
331 |
SOME u => (u, cx) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
332 |
| NONE => |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
333 |
(case t of |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
334 |
SMTLIB2.Sym name => |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
335 |
(case lookup_fun cx name of |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
336 |
SOME u => (Term.list_comb (u, ts), cx) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
337 |
| NONE => |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
338 |
if null ts then declare_free name (desymbolize name) Term.dummyT cx |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
339 |
else raise Z3_PARSE ("bad Z3 term", t)) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
340 |
| _ => raise Z3_PARSE ("bad Z3 term format", t))) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
341 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
342 |
fun type_of cx ty = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
343 |
(case try (parse_type cx ty) [] of |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
344 |
SOME T => T |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
345 |
| NONE => |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
346 |
(case ty of |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
347 |
SMTLIB2.S (ty' :: tys) => parse_type cx ty' (map (type_of cx) tys) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
348 |
| _ => raise Z3_PARSE ("bad Z3 type", ty))) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
349 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
350 |
fun dest_var cx (SMTLIB2.S [SMTLIB2.Sym name, ty]) = (name, (desymbolize name, type_of cx ty)) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
351 |
| dest_var _ v = raise Z3_PARSE ("bad Z3 quantifier variable format", v) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
352 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
353 |
fun dest_body (SMTLIB2.S (SMTLIB2.Sym "!" :: body :: _)) = dest_body body |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
354 |
| dest_body body = body |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
355 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
356 |
fun dest_binding (SMTLIB2.S [SMTLIB2.Sym name, t]) = (name, Tree t) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
357 |
| dest_binding b = raise Z3_PARSE ("bad Z3 let binding format", b) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
358 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
359 |
fun term_of t cx = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
360 |
(case t of |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
361 |
SMTLIB2.S [SMTLIB2.Sym "forall", SMTLIB2.S vars, body] => |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
362 |
quant HOLogic.mk_all vars body cx |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
363 |
| SMTLIB2.S [SMTLIB2.Sym "exists", SMTLIB2.S vars, body] => |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
364 |
quant HOLogic.mk_exists vars body cx |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
365 |
| SMTLIB2.S [SMTLIB2.Sym "let", SMTLIB2.S bindings, body] => |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
366 |
with_bindings (map dest_binding bindings) (term_of body) cx |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
367 |
| SMTLIB2.S (SMTLIB2.Sym "!" :: t :: _) => term_of t cx |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
368 |
| SMTLIB2.S (f :: args) => |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
369 |
cx |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
370 |
|> fold_map term_of args |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
371 |
|-> parse_term f |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
372 |
| SMTLIB2.Sym name => |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
373 |
(case lookup_binding cx name of |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
374 |
Tree u => |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
375 |
cx |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
376 |
|> term_of u |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
377 |
|-> (fn u' => pair u' o update_binding (name, Term u')) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
378 |
| Term u => (u, cx) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
379 |
| None => parse_term t [] cx |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
380 |
| _ => raise Z3_PARSE ("bad Z3 term format", t)) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
381 |
| _ => parse_term t [] cx) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
382 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
383 |
and quant q vars body cx = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
384 |
let val vs = map (dest_var cx) vars |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
385 |
in |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
386 |
cx |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
387 |
|> with_bindings (map (apsnd (Term o Free)) vs) (term_of (dest_body body)) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
388 |
|>> fold_rev (fn (_, (n, T)) => fn t => q (n, T, t)) vs |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
389 |
end |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
390 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
391 |
fun rule_of (SMTLIB2.Sym name) = rule_of_string name |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
392 |
| rule_of (SMTLIB2.S (SMTLIB2.Sym "_" :: SMTLIB2.Sym name :: args)) = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
393 |
(case (name, args) of |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
394 |
("th-lemma", SMTLIB2.Sym kind :: _) => Th_Lemma kind |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
395 |
| _ => rule_of_string name) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
396 |
| rule_of r = raise Z3_PARSE ("bad Z3 proof rule format", r) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
397 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
398 |
fun node_of p cx = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
399 |
(case p of |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
400 |
SMTLIB2.Sym name => |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
401 |
(case lookup_binding cx name of |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
402 |
Proof node => (node, cx) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
403 |
| Tree p' => |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
404 |
cx |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
405 |
|> node_of p' |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
406 |
|-> (fn node => pair node o update_binding (name, Proof node)) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
407 |
| _ => raise Z3_PARSE ("bad Z3 proof format", p)) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
408 |
| SMTLIB2.S [SMTLIB2.Sym "let", SMTLIB2.S bindings, p] => |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
409 |
with_bindings (map dest_binding bindings) (node_of p) cx |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
410 |
| SMTLIB2.S (name :: parts) => |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
411 |
let |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
412 |
val (ps, p) = split_last parts |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
413 |
val r = rule_of name |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
414 |
in |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
415 |
cx |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
416 |
|> fold_map node_of ps |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
417 |
||>> with_fresh_names (term_of p) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
418 |
||>> next_id |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
419 |
|>> (fn ((prems, (t, ns)), id) => mk_node id r prems t ns) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
420 |
end |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
421 |
| _ => raise Z3_PARSE ("bad Z3 proof format", p)) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
422 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
423 |
fun dest_name (SMTLIB2.Sym name) = name |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
424 |
| dest_name t = raise Z3_PARSE ("bad name", t) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
425 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
426 |
fun dest_seq (SMTLIB2.S ts) = ts |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
427 |
| dest_seq t = raise Z3_PARSE ("bad Z3 proof format", t) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
428 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
429 |
fun parse' (SMTLIB2.S (SMTLIB2.Sym "set-logic" :: _) :: ts) cx = parse' ts cx |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
430 |
| parse' (SMTLIB2.S [SMTLIB2.Sym "declare-fun", n, tys, ty] :: ts) cx = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
431 |
let |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
432 |
val name = dest_name n |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
433 |
val Ts = map (type_of cx) (dest_seq tys) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
434 |
val T = type_of cx ty |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
435 |
in parse' ts (declare_fun name (desymbolize name) (Ts ---> T) cx) end |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
436 |
| parse' (SMTLIB2.S [SMTLIB2.Sym "proof", p] :: _) cx = node_of p cx |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
437 |
| parse' ts _ = raise Z3_PARSE ("bad Z3 proof declarations", SMTLIB2.S ts) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
438 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
439 |
fun parse_proof typs funs lines ctxt = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
440 |
let |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
441 |
val ts = dest_seq (SMTLIB2.parse lines) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
442 |
val (node, cx) = parse' ts (empty_context ctxt typs funs) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
443 |
in (node, ctxt_of cx) end |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
444 |
handle SMTLIB2.PARSE (l, msg) => |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
445 |
error ("parsing error at line " ^ string_of_int l ^ ": " ^ msg) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
446 |
| Z3_PARSE (msg, t) => |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
447 |
error (msg ^ ": " ^ SMTLIB2.str_of t) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
448 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
449 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
450 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
451 |
(* handling of bound variables *) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
452 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
453 |
fun subst_of tyenv = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
454 |
let fun add (ix, (S, T)) = cons (TVar (ix, S), T) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
455 |
in Vartab.fold add tyenv [] end |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
456 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
457 |
fun substTs_same subst = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
458 |
let val applyT = Same.function (AList.lookup (op =) subst) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
459 |
in Term_Subst.map_atypsT_same applyT end |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
460 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
461 |
fun subst_types ctxt env bounds t = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
462 |
let |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
463 |
val match = Sign.typ_match (Proof_Context.theory_of ctxt) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
464 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
465 |
val t' = singleton (Variable.polymorphic ctxt) t |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
466 |
val patTs = map snd (Term.strip_qnt_vars @{const_name all} t') |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
467 |
val objTs = map (the o Symtab.lookup env) bounds |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
468 |
val subst = subst_of (fold match (patTs ~~ objTs) Vartab.empty) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
469 |
in Same.commit (Term_Subst.map_types_same (substTs_same subst)) t' end |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
470 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
471 |
fun eq_quant (@{const_name HOL.All}, _) (@{const_name HOL.All}, _) = true |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
472 |
| eq_quant (@{const_name HOL.Ex}, _) (@{const_name HOL.Ex}, _) = true |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
473 |
| eq_quant _ _ = false |
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 |
fun opp_quant (@{const_name HOL.All}, _) (@{const_name HOL.Ex}, _) = true |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
476 |
| opp_quant (@{const_name HOL.Ex}, _) (@{const_name HOL.All}, _) = true |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
477 |
| opp_quant _ _ = false |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
478 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
479 |
fun with_quant pred i (Const q1 $ Abs (_, T1, t1), Const q2 $ Abs (_, T2, t2)) = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
480 |
if pred q1 q2 andalso T1 = T2 then |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
481 |
let val t = Var (("", i), T1) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
482 |
in SOME (pairself Term.subst_bound ((t, t1), (t, t2))) end |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
483 |
else NONE |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
484 |
| with_quant _ _ _ = NONE |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
485 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
486 |
fun dest_quant_pair i (@{term HOL.Not} $ t1, t2) = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
487 |
Option.map (apfst HOLogic.mk_not) (with_quant opp_quant i (t1, t2)) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
488 |
| dest_quant_pair i (t1, t2) = with_quant eq_quant i (t1, t2) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
489 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
490 |
fun dest_quant i t = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
491 |
(case dest_quant_pair i (HOLogic.dest_eq (HOLogic.dest_Trueprop t)) of |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
492 |
SOME (t1, t2) => HOLogic.mk_Trueprop (HOLogic.mk_eq (t1, t2)) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
493 |
| NONE => raise TERM ("lift_quant", [t])) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
494 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
495 |
fun match_types ctxt pat obj = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
496 |
(Vartab.empty, Vartab.empty) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
497 |
|> Pattern.first_order_match (Proof_Context.theory_of ctxt) (pat, obj) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
498 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
499 |
fun strip_match ctxt pat i obj = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
500 |
(case try (match_types ctxt pat) obj of |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
501 |
SOME (tyenv, _) => subst_of tyenv |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
502 |
| NONE => strip_match ctxt pat (i + 1) (dest_quant i obj)) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
503 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
504 |
fun dest_all i (Const (@{const_name all}, _) $ (a as Abs (_, T, _))) = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
505 |
dest_all (i + 1) (Term.betapply (a, Var (("", i), T))) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
506 |
| dest_all i t = (i, t) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
507 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
508 |
fun dest_alls t = dest_all (Term.maxidx_of_term t + 1) 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 match_rule ctxt env (Z3_Node {bounds=bs', concl=t', ...}) bs t = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
511 |
let |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
512 |
val t'' = singleton (Variable.polymorphic ctxt) t' |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
513 |
val (i, obj) = dest_alls (subst_types ctxt env bs t) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
514 |
in |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
515 |
(case try (strip_match ctxt (snd (dest_alls t'')) i) obj of |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
516 |
NONE => NONE |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
517 |
| SOME subst => |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
518 |
let |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
519 |
val applyT = Same.commit (substTs_same subst) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
520 |
val patTs = map snd (Term.strip_qnt_vars @{const_name all} t'') |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
521 |
in SOME (Symtab.make (bs' ~~ map applyT patTs)) end) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
522 |
end |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
523 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
524 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
525 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
526 |
(* linearizing proofs and resolving types of bound variables *) |
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 |
fun has_step (tab, _) = Inttab.defined tab |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
529 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
530 |
fun add_step id rule bounds concl is_fix_step ids (tab, sts) = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
531 |
let val step = mk_step id rule ids concl bounds is_fix_step |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
532 |
in (id, (Inttab.update (id, ()) tab, step :: sts)) end |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
533 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
534 |
fun is_fix_rule rule prems = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
535 |
member (op =) [Quant_Intro, Nnf_Pos, Nnf_Neg] rule andalso length prems = 1 |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
536 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
537 |
fun lin_proof ctxt env (Z3_Node {id, rule, prems, concl, bounds}) steps = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
538 |
if has_step steps id then (id, steps) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
539 |
else |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
540 |
let |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
541 |
val t = subst_types ctxt env bounds concl |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
542 |
val add = add_step id rule bounds t |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
543 |
fun rec_apply e b = fold_map (lin_proof ctxt e) prems #-> add b |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
544 |
in |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
545 |
if is_fix_rule rule prems then |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
546 |
(case match_rule ctxt env (hd prems) bounds t of |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
547 |
NONE => rec_apply env false steps |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
548 |
| SOME env' => rec_apply env' true steps) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
549 |
else rec_apply env false steps |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
550 |
end |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
551 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
552 |
fun linearize ctxt node = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
553 |
rev (snd (snd (lin_proof ctxt Symtab.empty node (Inttab.empty, [])))) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
554 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
555 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
556 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
557 |
(* overall proof parser *) |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
558 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
559 |
fun parse typs funs lines ctxt = |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
560 |
let val (node, ctxt') = parse_proof typs funs lines ctxt |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
561 |
in (linearize ctxt' node, ctxt') end |
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
562 |
|
624faeda77b5
moved 'SMT2' (SMT-LIB-2-based SMT module) into Isabelle
blanchet
parents:
diff
changeset
|
563 |
end |