Let G be a set defined as follows: if z is a propositional variable, then...
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Let G be a set defined as follows: • if z is a propositional variable, then z € G: • if f1, f2 € G, then f₁ € G. (fi V f2) € G. and (f₁ ^ f2) = G; • nothing else belongs to G. Use structural induction to prove that for every f € G, there exists f' € G such that f and f' are logically equivalent, and f' does not contain a symbol. (Recall that propositional formulas fi and f2 are logically equivalent if fi and f2 evaluate to the same value, no matter how their variables are set.) Let G be a set defined as follows: • if z is a propositional variable, then z € G: • if f1, f2 € G, then f₁ € G. (fi V f2) € G. and (f₁ ^ f2) = G; • nothing else belongs to G. Use structural induction to prove that for every f € G, there exists f' € G such that f and f' are logically equivalent, and f' does not contain a symbol. (Recall that propositional formulas fi and f2 are logically equivalent if fi and f2 evaluate to the same value, no matter how their variables are set.)
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2 3 a propoxional variable done Now f f2 G 71 G fi V f E G fi Af 7 7 f V 7 f x Jo is 1 1 fv 7f ... View the full answer
Related Book For
Financial Accounting: A Business Process Approach
ISBN: 978-0136115274
3rd edition
Authors: Jane L. Reimers
Posted Date:
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