From 25b31684378d3b0668b65939fc7b30b0c1e8d130 Mon Sep 17 00:00:00 2001 From: aarne Date: Tue, 20 Dec 2005 14:20:42 +0000 Subject: CS's system S --- examples/systemS/Proof.gf | 23 +++++++++++++++++++++++ 1 file changed, 23 insertions(+) create mode 100644 examples/systemS/Proof.gf (limited to 'examples/systemS/Proof.gf') diff --git a/examples/systemS/Proof.gf b/examples/systemS/Proof.gf new file mode 100644 index 000000000..06a6f1c68 --- /dev/null +++ b/examples/systemS/Proof.gf @@ -0,0 +1,23 @@ +abstract Proof = Formula ** { + + cat + Text ; + Proof ; + [Formula] ; + + fun + Start : [Formula] -> Formula -> Proof -> Text ; + + Hypo : Proof ; + Implic : [Formula] -> Formula -> Proof -> Proof ; + RedAbs : Formula -> Proof -> Proof ; + ExFalso : Formula -> Proof ; + ConjSplit : Formula -> Formula -> Formula -> Proof -> Proof ; + ModPon : [Formula] -> Formula -> Proof -> Proof ; + Forget : [Formula] -> Formula -> Proof -> Proof ; + + DeMorgan1, DeMorgan2 : Formula -> Formula -> Proof -> Proof ; + ImplicNeg : [Formula] -> Formula -> Proof -> Proof ; + NegRewrite : Formula -> [Formula] -> Proof -> Proof ; + +} -- cgit v1.2.3