aboutsummaryrefslogtreecommitdiffhomepage
path: root/theories/Logic/ClassicalFacts.v
diff options
context:
space:
mode:
authorGravatar letouzey <letouzey@85f007b7-540e-0410-9357-904b9bb8a0f7>2009-09-28 15:04:07 +0000
committerGravatar letouzey <letouzey@85f007b7-540e-0410-9357-904b9bb8a0f7>2009-09-28 15:04:07 +0000
commit4d90c1983907ff3ea8a5a8c4dca1dba57c5bf3f8 (patch)
treee80307fb09a9836c5dd17f16b412e85fa25b6818 /theories/Logic/ClassicalFacts.v
parentaac58d6a2a196ac20da147034ac89546c1c236fe (diff)
Fix the stdlib doc compilation + switch all .v file to utf8
1) compilation of Library.tex was failing on a "Ext_" in Diaconescu.v In fact coqdoc was trying to recognize the end of a _emphasis_ and hence inserted a bogus }. For the moment I've enclosed the phrase with [ ], but this emphasis "feature" of coqdoc seems _really_ easy to broke. Matthieu ? 2) By the way, this Library document was made from latin1 and utf8 source file, hence bogus characters. All .v containing special characters are converted to utf8, and their first line is now mentionning this. (+ killed some old french comments and some other avoidable special characters). PLEASE: let's stick to this convention and avoid latin1, at least in .v files. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12363 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories/Logic/ClassicalFacts.v')
-rw-r--r--theories/Logic/ClassicalFacts.v20
1 files changed, 10 insertions, 10 deletions
diff --git a/theories/Logic/ClassicalFacts.v b/theories/Logic/ClassicalFacts.v
index 9ec916a7d..b22a3a874 100644
--- a/theories/Logic/ClassicalFacts.v
+++ b/theories/Logic/ClassicalFacts.v
@@ -31,7 +31,7 @@ Table of contents:
3.1. Weak excluded middle
-3.2. Gödel-Dummett axiom and right distributivity of implication over
+3.2. Gödel-Dummett axiom and right distributivity of implication over
disjunction
3 3. Independence of general premises and drinker's paradox
@@ -290,7 +290,7 @@ End Proof_irrelevance_CIC.
cannot be refined.
[[Berardi90]] Stefano Berardi, "Type dependence and constructive
- mathematics", Ph. D. thesis, Dipartimento Matematica, Università di
+ mathematics", Ph. D. thesis, Dipartimento Matematica, Università di
Torino, 1990.
*)
@@ -417,7 +417,7 @@ End Proof_irrelevance_CCI.
(** We show the following increasing in the strength of axioms:
- weak excluded-middle
- - right distributivity of implication over disjunction and Gödel-Dummett axiom
+ - right distributivity of implication over disjunction and Gödel-Dummett axiom
- independence of general premises and drinker's paradox
- excluded-middle
*)
@@ -436,20 +436,20 @@ Definition weak_excluded_middle :=
(** The interest in the equivalent variant
[weak_generalized_excluded_middle] is that it holds even in logic
- without a primitive [False] connective (like Gödel-Dummett axiom) *)
+ without a primitive [False] connective (like Gödel-Dummett axiom) *)
Definition weak_generalized_excluded_middle :=
forall A B:Prop, ((A -> B) -> B) \/ (A -> B).
-(** ** Gödel-Dummett axiom *)
+(** ** Gödel-Dummett axiom *)
-(** [(A->B) \/ (B->A)] is studied in [[Dummett59]] and is based on [[Gödel33]].
+(** [(A->B) \/ (B->A)] is studied in [[Dummett59]] and is based on [[Gödel33]].
[[Dummett59]] Michael A. E. Dummett. "A Propositional Calculus
with a Denumerable Matrix", In the Journal of Symbolic Logic, Vol
24 No. 2(1959), pp 97-103.
- [[Gödel33]] Kurt Gödel. "Zum intuitionistischen Aussagenkalkül",
+ [[Gödel33]] Kurt Gödel. "Zum intuitionistischen Aussagenkalkül",
Ergeb. Math. Koll. 4 (1933), pp. 34-38.
*)
@@ -500,13 +500,13 @@ Qed.
It is a generalization to predicate logic of the right
distributivity of implication over disjunction (hence of
- Gödel-Dummett axiom) whose own constructive form (obtained by a
+ Gödel-Dummett axiom) whose own constructive form (obtained by a
restricting the third formula to be negative) is called
Kreisel-Putnam principle [[KreiselPutnam57]].
[[KreiselPutnam57]], Georg Kreisel and Hilary Putnam. "Eine
- Unableitsbarkeitsbeweismethode für den intuitionistischen
- Aussagenkalkül". Archiv für Mathematische Logik und
+ Unableitsbarkeitsbeweismethode für den intuitionistischen
+ Aussagenkalkül". Archiv für Mathematische Logik und
Graundlagenforschung, 3:74- 78, 1957.
[[Troelstra73]], Anne Troelstra, editor. Metamathematical