Exam about Discrete structure

Anonymous
timer Asked: Feb 3rd, 2021

Question Description

its about 3 section. how to use truth table and using the laws to solve the equavilence .

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Key Logical Equivalences 1 Identity Laws: p Ù T º p, pÚF º p Domination Laws: p ÚT º T, pÙF º F Idempotent laws: p Ú p º p, pÙ p º p Double Negation Law: Negation Laws: ¬ ( ¬p ) º p p Ú ¬p º T , p Ù ¬p º F © 2019 McGraw-Hill Education Key Logical Equivalences 2 Commutative Laws: p Ú q º q Ú p, p Ù q º q Ù p Associative Laws: ( p Ù q) Ù r º p Ù ( q Ù r ) ( p Ú q) Ú r º p Ú ( q Ú r ) Distributive Laws: ( p Ú ( q Ù r )) º ( p Ú q) Ù ( p Ú r ) ( p Ù ( q Ú r )) º ( p Ù q) Ú ( p Ù r ) Absorption Laws: p Ú ( p Ù q) º p p Ù ( p Ú q) º p © 2019 McGraw-Hill Education More Logical Equivalences TABLE 7 Logical Equivalences Involving Conditional Statements. p ® q º ¬p Ú q p ® q º ¬q ® ¬p p Ú q º ¬p ® q p Ù q º ¬ ( p ® ¬q ) ¬ ( p ® q ) º p Ù ¬q ( p ® q) Ù ( p ® r ) º p ® ( q Ù r ) ( p ® r ) Ù ( q ® r ) º ( p Ú q) ® r ( p ® q) Ú ( p ® r ) º p ® ( q Ú r ) ( p ® r ) Ú ( q ® r ) º ( p Ù q) ® r © 2019 McGraw-Hill Education TABLE 8 Logical Equivalences Involving Biconditional Statements. p « q º ( p ® q) Ù ( q ® p) p « q º ¬p « ¬q p « q º ( p Ù q ) Ú ( ¬p Ù ¬q ) ¬ ( p « q ) º p « ¬q ...
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