From 1097a91c82c0efa2758c7a38bb54cc9db0b6f83e Mon Sep 17 00:00:00 2001
From: herbelin
Date: Tue, 2 Nov 2004 14:00:01 +0000
Subject: Réponse à la conjecture que PI est indépendant de EM dans CC

git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@6273 85f007b7-540e-0410-9357-904b9bb8a0f7
---
 theories/Logic/ClassicalFacts.v | 13 ++++++++-----
 1 file changed, 8 insertions(+), 5 deletions(-)

diff --git a/theories/Logic/ClassicalFacts.v b/theories/Logic/ClassicalFacts.v
index 6bd4cdcf19..6cff067a3b 100644
--- a/theories/Logic/ClassicalFacts.v
+++ b/theories/Logic/ClassicalFacts.v
@@ -211,9 +211,12 @@ End Proof_irrelevance_CIC.
   (i.e. propositional extensionality + excluded middle) without
   dependent case analysis ?
 
-  Conjecture: it seems possible to build a model of CC interpreting
-  all non-empty types by the set of all lambda-terms. Such a model would
-  satisfy propositional degeneracy without satisfying proof-irrelevance
-  (nor dependent case analysis). This would imply that the previous
-  results cannot be refined.
+  Berardi [Berardi] built a model of CC interpreting inhabited
+  types by the set of all untyped lambda-terms. This model satisfies
+  propositional degeneracy without satisfying proof-irrelevance (nor
+  dependent case analysis). This implies that the previous results
+  cannot be refined.
+
+  [Berardi] Stefano Berardi, "Type dependence and constructive mathematics",
+  Ph. D. thesis, Dipartimento Matematica, Università di Torino, 1990.
 *)
-- 
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