47 lines
1.7 KiB
C++
47 lines
1.7 KiB
C++
/*
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Copyright (c) 2015 Microsoft Corporation. All rights reserved.
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Released under Apache 2.0 license as described in the file LICENSE.
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Author: Leonardo de Moura
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*/
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#include "kernel/environment.h"
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#include "kernel/type_checker.h"
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#include "kernel/abstract.h"
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#include "init/init.h"
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using namespace lean;
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static environment add_decl(environment const & env, declaration const & d) {
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auto cd = check(env, d);
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return env.add(cd);
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}
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int main() {
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environment env;
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std::cout << "Lean (empty) environment was successfully created\n";
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name base("base");
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expr Prop = mk_Prop();
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env = add_decl(env, mk_constant_assumption(name(base, 0u), level_param_names(), Prop >> (Prop >> Prop)));
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expr x = Local("x", Prop);
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expr y = Local("y", Prop);
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for (unsigned i = 1; i <= 100; i++) {
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expr prev = Const(name(base, i-1));
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env = add_decl(env, mk_definition(env, name(base, i), level_param_names(), Prop >> (Prop >> Prop),
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Fun({x, y}, mk_app(prev, mk_app(prev, x, y), mk_app(prev, y, x)))));
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}
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expr Type = mk_Type();
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expr A = Local("A", Type);
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expr a = Local("a", A);
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env = add_decl(env, mk_definition("id", level_param_names(),
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Pi(A, A >> A),
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Fun({A, a}, a)));
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type_checker checker(env, name_generator("tmp"));
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expr f96 = Const(name(base, 96));
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expr f97 = Const(name(base, 97));
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expr f98 = Const(name(base, 98));
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expr f3 = Const(name(base, 3));
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expr c1 = mk_local("c1", Prop);
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expr c2 = mk_local("c2", Prop);
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expr id = Const("id");
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std::cout << checker.whnf(mk_app(f3, c1, c2)).first << "\n";
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return 0;
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}
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