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Walks, Trails, Paths, Circut, Cycle in Graph || Eulerian and Hamiltonian Graphs || Book & Talks
8:50
YouTubeBook & Talks
Walks, Trails, Paths, Circut, Cycle in Graph || Eulerian and Hamiltonian Graphs || Book & Talks
Matrices: Introduction, Rank of Matrix, Solving System of Equations, Inverse of a Matrix, Set theory, Principle of inclusion and exclusion, partitions, Permutation, Combination, Relations, Properties of relations, Matrices of relations, Closure operations on relations, Functions- injective, subjective and objective functions. Probability ...
2 views2 days ago
Propositional formula Propositional Logic
Propositional Logic
14:41
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
Propositional Logic (Part 4):More Truth Tables: 6.3
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