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CS's system S

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aarne
2005-12-20 14:20:42 +00:00
parent 774abf612d
commit 25b3168437
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13
examples/systemS/ex2.txt Normal file
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[ A -> B |- ~ B -> ~ A ]
------------------------------ Implication strategy
[ A -> B , ~ B |- ~ A ]
------------------------------ Negation rewrite
[ A -> B , ~ B |- A -> _|_ ]
------------------------------ Implication strategy
[ A , A -> B , ~ B |- _|_ ]
------------------------------ Modus ponens
[ A , A -> B , B , ~ B |- _|_ ]
------------------------------ Forgetting
[ B , ~ B |- _|_ ]
------------------------------ Ex falso quodlibet _|_
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