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Titlebook: Decision Procedures; An Algorithmic Point Daniel Kroening,Ofer Strichman Textbook 2016Latest edition Springer-Verlag Berlin Heidelberg 2016

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https://doi.org/10.1007/978-3-663-13618-7Verification conditions that arise in practice frequently mix expressions from several theories.
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https://doi.org/10.1007/978-3-663-13618-7In this chapter we consider the eager approach based on performing a full reduction of a .-formula to an equisatisfiable propositional formula.
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Introduction and Basic concepts,This chapter presents basic concepts such as formal proofs, the satisfiability problem, soundness and completeness, and the trade-off between expressiveness and decidability. It also includes the theoretical basis for the rest of the book.
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Decision Procedures for Propositional Logic,This chapter introduces decision procedures for propositional logic.
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Equality Logic and Uninterpreted Functions,This chapter introduces the theory of equality, also known by the name equality logic. Equality logic can be thought of as propositional logic where the atoms are equalities between variables over some infinite type or between variables and constants.
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