Titlebook: Mathematical Logic for Computer Science; Mordechai Ben-Ari Textbook 2012Latest edition Springer-Verlag London 2012 First-Order Logic.Propo

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First-Order Logic: Resolution,that it is unsatisfiable. For propositional logic, the algorithm is also a decision procedure for unsatisfiability because it is guaranteed to terminate. When generalized to first-order logic, resolution is still sound and complete, but it is not a decision procedure because the algorithm may not terminate.

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Temporal Logic: Formulas, Models, Tableaux,re and software is a function of time. This section will follow the same approach that we used for other logics: we define the syntax of formulas and their interpretations and then describe the construction of semantic tableaux for deciding satisfiability.

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Propositional Logic: Binary Decision Diagrams,The problem of deciding the satisfiability of a formula in propositional logic has turned out to have many important applications in computer science. This chapter and the next one present two widely used approaches for computing with formulas in propositional logic.

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Temporal Logic: A Deductive System,This chapter defines the deductive system . for linear temporal logic. We will prove many of the formulas presented in the previous chapter, as well as the soundness and completeness of ..

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https://doi.org/10.1007/978-1-4471-4129-7First-Order Logic; Propositional Logic; SAT Solvers; Set Theory; Temporal Logic

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