Propositional Logic - SlideServe
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Propositional Logic - SlideServe
Propositional Logic. Rosen 6 th ed., § 1.1-1.2. Foundations of Logic: Overview. Propositional logic: Basic definitions. Equivalence rules & derivations. Predicate logic Predicates. Quantified predicate expressions. Equivalences & derivations. Propositional Logic.
Aug 9, 2014
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SOLVED:(a) For each of the following formulas in the propositional calculus, determine whether it is satisfiable, and if it is, find a satisfying truth assignment: φ1: ∼ E φ2: (∼ E ∨∼ F ∨ G) & E && φ3: (E & F) ∨(∼ E &∼ F) φ4: (E ∨ F) →(E →∼ F) φ5: G &(E ∨ F) &∼(E & F) &(G → E) &(G →∼ F) φ6: (E ∨ F) &∼(E & F) &(E → G) &(G → F) φ7: ((E & F) ∨(E &∼ G)) &((∼ E &∼ F) ∨(E & G)) (b) What is the number of truth assignments to a given formula in the p
SOLVED:(a) For each of the following formulas in the propositional calculus, determine whether it is satisfiable, and if it is, find a satisfying truth assignment: φ1: ∼ E φ2: (∼ E ∨∼ F ∨ G) & E && φ3: (E & F) ∨(∼ E &∼ F) φ4: (E ∨ F) →(E →∼ F) φ5: G &(E ∨ F) &∼(E & F) &(G → E) &(G →∼ F) φ6: (E ∨ F) &∼(E & F) &(E → G) &(G → F) φ7: ((E & F) ∨(E &∼ G)) &((∼ E &∼ F) ∨(E & G)) (b) What is the number of truth assignments to a given formula in the p
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SOLVED:(a) For each of the following formulas in the propositional calculus, determine whether it is satisfiable, and if it is, find a satisfying truth assignment: φ1: ∼ E φ2: (∼ E ∨∼ F ∨ G) & E && φ3: (E & F) ∨(∼ E &∼ F) φ4: (E ∨ F) →(E →∼ F) φ5: G &(E ∨ F) &∼(E & F) &(G → E) &(G →∼ F) φ6: (E ∨ F) &∼(E & F) &(E → G) &(G → F) φ7: ((E & F) ∨(E &∼ G)) &((∼ E &∼ F) ∨(E & G)) (b) What is the number of truth assignments to a given formula in the p
SOLVED:(a) For each of the following formulas in the propositi…
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