Complete the proof of theorem

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Reference no: EM132381095

The Sequent Calculus Problems -

Problem 1 - Give derivations of the following sequents:

1. ⇒ ¬ (φ → ψ) → (φ Λ ¬ ψ)

2. (φ Λ ψ) → χ ⇒ (φ → χ) ∨ (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 LK derives Θ ⇒ Ξ, then Θ ⇒ Ξ is valid.

Reference no: EM132381095

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