Logical Equivalence in Discrete Math: Predicates and Quantifiers Exercise 25
Explore logical equivalences involving predicates and quantifiers in Exercise 25, where x is not a free variable in A. Understand the equivalence between x(P(x) ∧ A) and xP(x) ∧ A, as well as x(P(x) ∨ A) and xP(x) ∨ A in the realm of nonempty domains.
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Discrete Math: Predicates and Quantifiers Exercise 25
Exercise Establish these logical equivalences, where x does not occur as a free variable in A. Assume that the domain is nonempty. a) x(P(x) A) x P(x) A b) x(P(x) A) x P(x) A
References Discrete Mathematics and Its Applications, McGraw-Hill; 7th edition (June 26, 2006). Kenneth Rosen Discrete Mathematics An Open Introduction, 2nd edition. Oscar Le in A Short Course in Discrete Mathematics, 01 Dec 2004, Edward Bender & S. Gill Williamson
