Prove that there are compound statements that are not equivalent to any statement using only the connectives

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Prove that there are compound statements that are not equivalent to any statement using only the connectives $\rightarrow$ and $\vee$.

Exercises 47-50 show that defining four basic logical connectives (conjunction, disjunction, implication, and negation) is a convenience rather than a necessity because certain pairs of connectives are enough to express any wff.

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Mathematical Structures For Computer Science Discrete Mathematics And Its Applications

ISBN: 9781429215107

7th Edition

Authors: Judith L. Gersting

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Question Posted: Jan 28, 2024 01:00 AM

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Prove that there are compound statements that are not equivalent to any statement using only the connectives

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Mathematical Structures For Computer Science Discrete Mathematics And Its Applications

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