1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
|
$[sv_module { stdout = true }]
val "print_endline" : string -> unit
val operator <= = {
coq: "Z.leb",
lean: "LE.le",
_: "lteq"
} : forall 'n 'm. (int('n), int('m)) -> bool('n <= 'm)
function test1 forall 'n 'm. (n: int('n), m: int('m)) -> unit = {
if n <= m then {
_prove(constraint('n <= 'm));
print_endline("1");
} else {
print_endline("2");
_prove(constraint('n > 'm));
}
}
val and_bool = {
coq: "andb",
lean: "and",
_: "and_bool"
} : forall ('p: Bool) ('q: Bool). (bool('p), bool('q)) -> bool('p & 'q)
overload operator & = {and_bool}
function test2 forall 'n 'm. (n: int('n), m: int('m)) -> unit = {
let x = n <= m & n <= 20;
if x then {
_prove(constraint('n <= 20));
_prove(constraint('n <= 'm));
print_endline("3")
} else {
_prove(constraint('n > 'm | 'n > 20));
print_endline("4")
}
}
function main((): unit) -> unit = {
test1(1, 2);
test1(2, 1);
test2(1, 2);
test2(2, 1);
test2(21, 0)
}
|
