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Propositional Logic Cheat Sheet, Exercises of Logic

Harvard University Logic

A cheat sheet for propositional logic. It includes truth tables, laws, and precedence of logical operators. The laws covered include De Morgan's Laws, Idempotent laws, Domination laws, Commutative laws, Identity laws, Absorption laws, Negation laws, Associative laws, and Distributive laws. The cheat sheet also covers conditional statements and biconditional statements. useful for students studying logic and mathematics.

Typology: Exercises

2022/2023

Uploaded on 03/14/2023

strawberry3 🇺🇸

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Download Propositional Logic Cheat Sheet and more Exercises Logic in PDF only on Docsity! Chapter 1 cheat sheet Logical operators, their truth tables, laws: Precedence of Logical Operators: ¬, , , ,  ,  Laws of Propositional logic: p ¬p T F F T p q p → q T T T T F F F T T F F T p q p  q T T F T F T F T T F F F p q p  q T T T T F F F T F F F T (p  q)  p  q (p  q)  p  q De Morgan's Laws (1) p  p  p p  p  p Idempotent laws (5) ( p)  p Double negation law (2) p  T  T p  F  F Domination laws (6) p  q  q  p p  q  q  p Commutative laws (3) p  T  p p  F  p Identity laws (7) p  (p  q)  p p  (p  q)  p Absorption laws (4) p  p  T p  p  F Negation laws (8) (p  q)  r  p  (q  r) (p  q)  r  p  (q  r) Associative laws (9) p  (q  r)  (p  q)  (p  r) p  (q  r)  (p  q)  (p  r) Distributive laws (10) p  q  p  q (11) p  q  (p  q)  (q  p) (12) p  q  q  p (13) p  q  p  q (14) p  q  p  q (15) p  q  (p  q)  (p  q) (16) p  q  (p  q) (17) (p  q)  p  q (18) (p  q)  p  q (19) (p  q)  (p  r)  p  (q  r) (20) (p  q)  (p  r)  p  (q  r) (21) (p  r)  (q  r)  (p  q)  r (22) (p  r)  (q  r)  (p  q)  r (23) p q p ˅ q T T T T F T F T T F F F p q p  q T T T T F F F T F F F F

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