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Diffstat (limited to 'test-suite/failure/fixpoint4.v')
-rw-r--r-- | test-suite/failure/fixpoint4.v | 19 |
1 files changed, 19 insertions, 0 deletions
diff --git a/test-suite/failure/fixpoint4.v b/test-suite/failure/fixpoint4.v new file mode 100644 index 00000000..fd956373 --- /dev/null +++ b/test-suite/failure/fixpoint4.v @@ -0,0 +1,19 @@ +(* Check that arguments of impredicative types are not considered + subterms even through commutative cuts on functional arguments + (example prepared by Bruno) *) + +Inductive IMP : Prop := + CIMP : (forall A:Prop, A->A) -> IMP +| LIMP : (nat->IMP)->IMP. + +Definition i0 := (LIMP (fun _ => CIMP (fun _ x => x))). + +Definition Paradox : False := + (fix F y o {struct o} : False := + match y with + | tt => fun f => + match f 0 with + | CIMP h => F y (h _ o) + | _ => F y (f 0) + end + end match o with LIMP f => f | _ => fun _ => o end) tt i0. |