Prove given Proposition, Tableaux Problems

Prove given Proposition

Assignment Help Mathematics

Reference no: EM132381121

Tableaux Problems -

Problem 1 - Give closed tableaux of the following:

1. F ¬ (φ → ψ) → (φ Λ ¬ψ)

2. F(φ → χ) ∨ (ψ → χ), T (φ Λ ψ) → χ.

Problem 2 - Prove Proposition: Γ is inconsistent iff Γ|- φ for every sentence φ.

Problem 3 - Prove that Γ|- ¬φ iff Γ U{φ} is inconsistent.

Problem 4 - Complete the proof of Theorem: (Soundness). If Γ has a closed tableau, Γ is unsatisfiable.

Reference no: EM132381121

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