2010 מועד ב'
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This document discusses various logical formulas and rules of inference. It contains propositional logic formulas in conjunctive normal form and Horn clauses. It also shows rules like modus ponens and hypothetical syllogism being applied to conditional statements with variables.
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2010 מועד א'
The document contains formal logic proofs and rules of inference. Specifically, it includes a proof where A is assumed and then derived, rules for discharging assumptions from contexts, and proofs of various implications using rules like modus ponens and generalization. The document demonstrates logical deductions in a formal system.
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The document discusses formal logic proofs involving propositional logic and Horn clauses. It presents several logic statements and uses rules of inference like modus ponens to derive conclusions from given premises, such as deriving (p→s) → (s r) from premises p q, r→ q using modus ponens twice. It also derives xP(x)→ yQ(y) from the premise x y(P(x)→ Q(y)).
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The document contains formal logic proofs and rules of inference. Specifically, it includes a proof where A is assumed and then derived, rules for discharging assumptions from contexts, and proofs of various implications using rules like modus ponens and generalization. The document demonstrates logical deductions in a formal system.
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2010 מועד ב'
- 1. Δ {¬A} Δ {A} - Δ CNF ╞A ├A {q ( p r), p (q r), q r, q} . HORN A B, C→A ├ ( D→B) → (D C) p q, (r s)→ q ╞ (p→s) → (s r) x x(A→B) ╞ xA→B B-