Logics for Computer Science

Providing an in-depth introduction to fundamentalclassical and non-classical logics, this textbook offers a comprehensive survey of logics for computer scientists. Logics for Computer Sciencecontains intuitive introductory chapters explaining the need for logical investigations, motivations for different types of logics and some of their history. They are followed by strict formal approach chapters. All chapters contain many detailed examples explaining each of the introduced notions and definitions, well chosen sets of exercises with carefully written solutions, and sets of homework. While many logic books are available, they were written bylogicians for logicians, not for computer scientists. Theyusually choose one particular way of presenting the material and use a specialized language.Logics for Computer Science discussesGentzen as well as Hilbert formalizations,first order theories, the Hilbert Program, Godel's first and second incompleteness theorems and their proofs.It also introduces and discusses some many valued logics, modal logics and introduces algebraic models for classical, intuitionistic, and modal S4 and S5 logics. The theory ofcomputation is based on concepts defined by logicians andmathematicians. Logic plays a fundamental role in computer science, and this book explains the basic theorems, as well as different techniques of proving them in classical and some non-classical logics. Important applications derived from concepts of logic for computer technology includeArtificial Intelligence and Software Engineering. In addition to Computer Science, this book may also find an audience in mathematics andphilosophy courses, and some of the chapters are also useful for acourse in Artificial Intelligence.