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authoraarne <unknown>2004-11-12 09:49:36 +0000
committeraarne <unknown>2004-11-12 09:49:36 +0000
commit543d2c976a49b93d47288754779d0eac4a9adbdc (patch)
treeecdc2442f3fd58327bd17d0ef7d02a764406b6ce /grammars/logic/LogicFre.gf
parent8b35ece65f76b665b17d360d5d55666655473eb0 (diff)
French logic
Diffstat (limited to 'grammars/logic/LogicFre.gf')
-rw-r--r--grammars/logic/LogicFre.gf84
1 files changed, 84 insertions, 0 deletions
diff --git a/grammars/logic/LogicFre.gf b/grammars/logic/LogicFre.gf
new file mode 100644
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+++ b/grammars/logic/LogicFre.gf
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+concrete LogicFre of Logic = open ResFre, Prelude in {
+
+flags lexer=vars ; unlexer=text ;
+
+lincat
+Text = {s : Str} ;
+Dom = {g : Gen ; s : Num => Str} ;
+Prop = LinProp ;
+Elem = LinElem ;
+Proof = {s : Str} ;
+
+lindef Elem = \e -> {g = masc ; s = table {c => prep ! c ++ e}} ;
+
+lin
+Statement A =
+ {s = A.s ! ind ++ "."} ;
+ThmWithProof A a =
+ {s = "Théorème"++"." ++ (A.s ! ind) ++ "."++ PARA ++ "Démonstration"++"." ++ a.s ++ "."} ;
+ThmWithTrivialProof A a =
+ {s = "Théorème"++"." ++ (A.s ! ind) ++ "."++ PARA ++ "Démonstration"++"."++"Triviale"++"."} ;
+Disj A B =
+ {s = table {m => (A.s ! m) ++ "ou" ++ B.s ! m}} ;
+Conj A B =
+ {s = table {m => (A.s ! m) ++ "et" ++ B.s ! m}} ;
+Impl A B =
+ {s = table {m => si ++ (A.s ! ind) ++ "alors" ++ B.s ! m}} ;
+Univ A B =
+ {s = table {m => "pour" ++ tout ! A.g ! pl ++ "les" ++ A.s ! pl ++ B.$0 ++ "," ++ B.s ! m}} ;
+Exist A B =
+ {s = table {m => "il"++"existe" ++ indef ! A.g ++ A.s ! sg ++ B.$0 ++
+ tel ! A.g ! sg ++ que ++ B.s ! subj}} ;
+Abs =
+ {s = table {{ind} => "nous"++"avons"++"une"++"contradiction" ; {subj} => "nous"++"ayons"++"une"++"contradiction"}} ;
+Neg A =
+ {s = table {m => "il" ++ ne ++ etre ! sg ! m ++ "pas"++"vrai" ++ que ++ A.s ! subj}} ;
+ImplP A B =
+ {s = table {m => si ++ (A.s ! ind) ++ "alors" ++ B.s ! m}} ;
+ConjI A B a b =
+ {s = a.s ++ "." ++ b.s ++ "."++"Donc" ++ (A.s ! ind) ++ "et" ++ B.s ! ind} ;
+ConjEl A B c =
+ {s = c.s ++ "."++"A"++"fortiori," ++ A.s ! ind} ;
+ConjEr A B c =
+ {s = c.s ++ "."++"A"++"fortiori," ++ B.s ! ind} ;
+DisjIl A B a =
+ {s = a.s ++ "."++"A"++"fortiori," ++ (A.s ! ind) ++ "ou" ++ B.s ! ind} ;
+DisjIr A B b =
+ {s = b.s ++ "."++"A"++"fortiori," ++ (A.s ! ind) ++ "ou" ++ B.s ! ind} ;
+DisjE A B C c d e =
+ {s = c.s ++ "."++
+ "Nous"++"avons"++"deux"++"possibilités."++
+ "Premièrement,"++ "supposons" ++ que ++ A.s ! ind ++ "(" ++ d.$0 ++ ")" ++
+ "." ++ d.s ++ "."++
+ "Deuxièmement,"++ "supposons" ++ que ++ B.s ! ind ++ "(" ++ e.$0 ++ ")" ++
+ "." ++ e.s ++ "."++"Donc" ++ (C.s ! ind) ++ "dans"++"les"++"deux"++"cas"} ;
+ImplI A B b =
+ {s = "supposons" ++ que ++ A.s ! ind ++ "(" ++ b.$0 ++ ")" ++ "." ++ b.s ++ "."++
+ "Donc"++"," ++ si ++ A.s ! ind ++ "alors" ++ B.s ! ind} ;
+ImplE A B c a =
+ {s = a.s ++ "."++"Mais" ++ c.s ++ "."++"Donc" ++ B.s ! ind} ;
+NegI A b =
+ {s = "supposons" ++ que ++ A.s ! ind ++ "(" ++ b.$0 ++ ")" ++ "." ++ b.s ++ "." ++
+ ["Donc , il n'est pas vrai"] ++ que ++ A.s ! subj} ;
+NegE A c a =
+ {s = a.s ++ "."++"Mais" ++ c.s ++ "." ++ ["Nous avons une contradiction"]} ;
+UnivI A B b =
+ {s = "considérons" ++ indef ! A.g ++ A.s ! sg ++ b.$0 ++ "arbitraire." ++
+ b.s ++ "."++"Donc"++","++"pour" ++ tout ! A.g ! pl ++
+ "les" ++ A.s ! pl ++ B.$0 ++ "," ++ B.s ! ind} ;
+UnivE A B c a =
+ {s = c.s ++ "."++
+ "Donc" ++ B.s ! ind ++ "avec" ++ B.$0 ++ "remplacé" ++ "par" ++ a.s ! nom} ;
+ExistI A B a b =
+ {s = b.s ++ "."++"Donc"++"il"++"existe" ++ indef ! A.g ++ A.s ! sg ++ B.$0 ++
+ tel ! A.g ! sg ++ que ++ B.s ! subj} ;
+ExistE A B C c d =
+ {s = c.s ++ "."++"Considérons" ++ indef ! A.g ++ A.s ! sg ++ d.$0 ++
+ ["arbitraire , et supposons"] ++ que ++ B.s ! ind ++ "(" ++ d.$1 ++ ")" ++
+ "." ++ d.s ++ "."++"Donc" ++ C.s ! ind ++ "indépendamment" ++ "de" ++ d.$0} ;
+AbsE C c =
+ {s = c.s ++ "." ++ "Nous" ++ "concluons" ++ que ++ C.s ! ind} ;
+Hypo A a =
+ {s = "par"++"l'hypothèse" ++ a.s ++ "," ++ A.s ! ind} ;
+Pron A _ = {s = pronom ! A.g ; g = A.g} ;
+} ; \ No newline at end of file