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8:24
YouTube
Mahesh Huddar
11. Steps to Convert Propositional Logic Statement into CNF Conjunctive Normal Form by Mahesh Huddar
11. Steps to Convert the Propositional Logic Statement into CNF Conjunctive Normal Form by Mahesh Huddar The following concepts are discussed ...
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Propositional Logic
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Jan 10, 2021
An adequate set of connectives is a set such that for every formula there is an equivalent formula with only connectives from that set. For example, the set {, V} is adequate for propositional logic, because any occurrence of ∧and →can be removed by using the equivalences ϕ→ψ ≡ϕ∨ψ ϕ∧ψ ≡(ϕ∨ψ) . (a) Show that {, ∧},{, →} and {→, ⊥} are adequate sets of connectives. (In the latter case, we are treating ⊥as a nullary connective.) (b) Show that, if C ⊆{, ∧, ∨, →, ⊥} is adequate, then ∈C or ⊥∈
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