def test_intros():
ctxt = context.Context('test_ctxt')
g = Goals('test', ctxt, goals = \
[Goal(empty_tel, Bound(Forall('x'), Real, impl(p, impl(p, q))))])
g.solve_with(intros)
assert(g.goals[0].prop.equals(q))
def test_unpack():
ctxt = context.Context('test_ctxt')
s = Const('s', sig)
goal = Goal(Tele(['s'], [sig]), Sub(s, s))
g = Goals('test', ctxt, goals = [goal])
g.solve_with(unpack('s'))
assert(g.goals[0]['h'].equals(bin_op_x_y))
assert(g.goals[0].prop.lhs.is_pair())
def test_simpl():
ctxt = context.Context('test_ctxt')
g = Goals('test', ctxt, goals = \
sub_goal(empty_tel, beta_redex, App(triv, op, y)))
g.solve_with(simpl(conv.par_beta))
g.solve_with(trivial)
assert(g.is_solved())
def test_trivial():
"""
"""
ctxt = context.Context('test_ctxt')
g = Goals('test', ctxt, goals = sub_goal(empty_tel, atm, atm))
g.solve_with(trivial)
assert(g.is_solved())
g = Goals('test', ctxt, goals = [Goal(Tele(['_'], [p]), p)])
g.solve_with(trivial)
assert(g.is_solved())
def mvar_infer(expr, ctxt=None):
"""Infer the type of an expression and return the pair
(type, proof obligations) or raise an exception of type
ExprTypeError.
Arguments:
- `expr`: an expression
"""
if ctxt == None:
ty_ctxt_name = meta_var_gen.get_name('_unif_ctxt')
ty_ctxt = context.Context(ty_ctxt_name)
else:
ty_ctxt = ctxt
prf_obl_name = meta_var_gen.get_name('_unif_goals')
prf_obl = goals.empty_goals(prf_obl_name, ty_ctxt)
ty = t.ExprInfer().visit(expr, prf_obl)
return (ty, prf_obl)
def test_destruct():
ctxt = context.Context('test_ctxt')
Real2 = Const('Real2', Type())
rfun = Bound(Pi('x'), Real, Real)
r2fun = Bound(Pi('y'), Real2, Real2)
g = Goals('test', ctxt, goals = sub_goal(empty_tel, rfun, r2fun))
g.solve_with(destruct)
assert(g.goals[0].prop.is_sub())
assert(g.goals[0].prop.lhs.equals(Real))
assert(g.goals[0].prop.rhs.equals(Real2))
assert(g.goals[1].prop.is_sub())
assert(g.goals[1].prop.lhs.equals(Real2))
assert(g.goals[1].prop.rhs.equals(Real))
assert(g.goals[2].prop.is_sub())
assert(g.goals[2].prop.lhs.equals(Real))
assert(g.goals[2].prop.rhs.equals(Real2))