9. Unification in First Order Logic Propositional Logic Artificial Intelligence by Mahesh Huddar
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YouTubeMahesh Huddar
9. Unification in First Order Logic Propositional Logic Artificial Intelligence by Mahesh Huddar
9. Unification in First-Order Logic Propositional Logic Artificial Intelligence by Mahesh Huddar #1. Unification in First Order Logic: https://youtu.be/MbAsMEpJL-k #2 ...
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Propositional formula Propositional Logic
Propositional Logic
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Propositional Logic
calcworkshop.com
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 ⊥∈
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 ⊥∈
numerade.com
May 6, 2020
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