Propositional_Logic

Propositional_Logic - colder ( premise ) (2) swimming sunny...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
CMPSC 360 Discrete Mathematics for Computer Science Fall 2009 Penn State University Proof Rules A B B C A C ( → - syllogism ) A B ¬ A B ( ∨- syllogism ) A B ¬ B A ( ∨- syllogism ) A B ¬ A C B C ( resolution ) A B A ( ∧- elim ) A B B ( ∧- elim ) A B A B ( ∧- intro ) A A B ( ∨- intro ) B A B ( ∨- intro ) P Q P R Q R R ( ∨- elim ) P Q P Q ( modusponens ) P Q ¬ Q ¬ P ( modustollens ) P ( ⊥- elim ) ¬ P → ⊥ P ( by - contra ) Example Proof: (1) ¬ sunny
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: colder ( premise ) (2) swimming sunny ( premise ) (3) swimming canoetrip ( premise ) (4) canoetrip homebysunset ( premise ) (5) sunny ( -elim-1) (6) swimming ( modustollens-2 , 5) (7) canoetrip ( modusponens-3 , 6) (8) homebysunset ( modusponens-4 , 7)...
View Full Document

Ask a homework question - tutors are online