| author | paulson |
| Mon, 15 Mar 2004 10:58:49 +0100 | |
| changeset 14470 | 1ffe42cfaefe |
| parent 13208 | 965f95a3abd9 |
| child 14981 | e73f8140af78 |
| permissions | -rw-r--r-- |
| 13208 | 1 |
(* Title: HOL/Prolog/Func.thy |
2 |
ID: $Id$ |
|
3 |
Author: David von Oheimb (based on a lecture on Lambda Prolog by Nadathur) |
|
4 |
License: GPL (GNU GENERAL PUBLIC LICENSE) |
|
5 |
||
6 |
untyped functional language, with call by value semantics |
|
7 |
*) |
|
| 9015 | 8 |
|
9 |
Func = HOHH + |
|
10 |
||
11 |
types tm |
|
12 |
||
|
12338
de0f4a63baa5
renamed class "term" to "type" (actually "HOL.type");
wenzelm
parents:
9015
diff
changeset
|
13 |
arities tm :: type |
| 9015 | 14 |
|
15 |
consts abs :: (tm => tm) => tm |
|
16 |
app :: tm => tm => tm |
|
17 |
||
18 |
cond :: tm => tm => tm => tm |
|
19 |
fix :: (tm => tm) => tm |
|
20 |
||
21 |
true, |
|
22 |
false :: tm |
|
23 |
"and" :: tm => tm => tm (infixr 999) |
|
24 |
"eq" :: tm => tm => tm (infixr 999) |
|
25 |
||
26 |
"0" :: tm ("Z")
|
|
27 |
S :: tm => tm |
|
28 |
(* |
|
29 |
"++", "--", |
|
30 |
"**" :: tm => tm => tm (infixr 999) |
|
31 |
*) |
|
32 |
eval :: [tm, tm] => bool |
|
33 |
||
34 |
arities tm :: plus |
|
35 |
arities tm :: minus |
|
36 |
arities tm :: times |
|
37 |
||
38 |
rules eval " |
|
39 |
||
40 |
eval (abs RR) (abs RR).. |
|
41 |
eval (app F X) V :- eval F (abs R) & eval X U & eval (R U) V.. |
|
42 |
||
43 |
eval (cond P L1 R1) D1 :- eval P true & eval L1 D1.. |
|
44 |
eval (cond P L2 R2) D2 :- eval P false & eval R2 D2.. |
|
45 |
eval (fix G) W :- eval (G (fix G)) W.. |
|
46 |
||
47 |
eval true true .. |
|
48 |
eval false false.. |
|
49 |
eval (P and Q) true :- eval P true & eval Q true .. |
|
50 |
eval (P and Q) false :- eval P false | eval Q false.. |
|
51 |
eval (A1 eq B1) true :- eval A1 C1 & eval B1 C1.. |
|
52 |
eval (A2 eq B2) false :- True.. |
|
53 |
||
54 |
eval Z Z.. |
|
55 |
eval (S N) (S M) :- eval N M.. |
|
56 |
eval ( Z + M) K :- eval M K.. |
|
57 |
eval ((S N) + M) (S K) :- eval (N + M) K.. |
|
58 |
eval (N - Z) K :- eval N K.. |
|
59 |
eval ((S N) - (S M)) K :- eval (N- M) K.. |
|
60 |
eval ( Z * M) Z.. |
|
61 |
eval ((S N) * M) K :- eval (N * M) L & eval (L + M) K" |
|
62 |
||
63 |
end |