author | boehmes |
Thu, 29 Sep 2016 20:54:44 +0200 | |
changeset 63960 | 3daf02070be5 |
permissions | -rw-r--r-- |
63960
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
1 |
(* Title: Tools/Argo/argo_lit.ML |
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
2 |
Author: Sascha Boehme |
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
3 |
|
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
4 |
Representation of literals. Literals are terms with a polarity, either positive or negative. |
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
5 |
A literal for term t with positive polarity is equivalent to t. |
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
6 |
A literal for term t with negative polarity is equivalent to the propositional negation of t. |
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
7 |
*) |
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
8 |
|
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
9 |
signature ARGO_LIT = |
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
10 |
sig |
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
11 |
datatype literal = Pos of Argo_Term.term | Neg of Argo_Term.term |
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
12 |
val literal: Argo_Term.term -> bool -> literal |
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
13 |
val dest: literal -> Argo_Term.term * bool |
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
14 |
val term_of: literal -> Argo_Term.term |
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
15 |
val signed_id_of: literal -> int |
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
16 |
val signed_expr_of: literal -> Argo_Expr.expr |
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
17 |
val negate: literal -> literal |
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
18 |
val eq_id: literal * literal -> bool |
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
19 |
val eq_lit: literal * literal -> bool |
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
20 |
val dual_lit: literal * literal -> bool |
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
21 |
end |
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
22 |
|
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
23 |
structure Argo_Lit: ARGO_LIT = |
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
24 |
struct |
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
25 |
|
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
26 |
(* data type *) |
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
27 |
|
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
28 |
datatype literal = Pos of Argo_Term.term | Neg of Argo_Term.term |
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
29 |
|
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
30 |
|
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
31 |
(* operations *) |
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
32 |
|
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
33 |
fun literal t true = Pos t |
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
34 |
| literal t false = Neg t |
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
35 |
|
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
36 |
fun dest (Pos t) = (t, true) |
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
37 |
| dest (Neg t) = (t, false) |
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
38 |
|
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
39 |
fun term_of (Pos t) = t |
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
40 |
| term_of (Neg t) = t |
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
41 |
|
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
42 |
fun signed_id_of (Pos t) = Argo_Term.id_of t |
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
43 |
| signed_id_of (Neg t) = ~(Argo_Term.id_of t) |
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
44 |
|
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
45 |
fun signed_expr_of (Pos t) = Argo_Term.expr_of t |
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
46 |
| signed_expr_of (Neg t) = Argo_Expr.mk_not (Argo_Term.expr_of t) |
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
47 |
|
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
48 |
fun id_of (Pos t) = Argo_Term.id_of t |
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
49 |
| id_of (Neg t) = Argo_Term.id_of t |
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
50 |
|
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
51 |
fun negate (Pos t) = Neg t |
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
52 |
| negate (Neg t) = Pos t |
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
53 |
|
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
54 |
fun eq_id (lit1, lit2) = (id_of lit1 = id_of lit2) |
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
55 |
|
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
56 |
fun eq_lit (Pos t1, Pos t2) = Argo_Term.eq_term (t1, t2) |
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
57 |
| eq_lit (Neg t1, Neg t2) = Argo_Term.eq_term (t1, t2) |
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
58 |
| eq_lit _ = false |
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
59 |
|
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
60 |
fun dual_lit (Pos t1, Neg t2) = Argo_Term.eq_term (t1, t2) |
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
61 |
| dual_lit (Neg t1, Pos t2) = Argo_Term.eq_term (t1, t2) |
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
62 |
| dual_lit _ = false |
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
63 |
|
3daf02070be5
new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
boehmes
parents:
diff
changeset
|
64 |
end |