This book describes the aspects of mathematical logic related to computer sciences. The materials adopted in this book are intended to attend to both the peculiarities of logical systems and the requirements of computer science.Contents: Prerequisites:SetsInductive Definitions and ProofsNotationsPropositional Logic:Propositions and ConnectivesPropositional LanguageSemanticsTautological ConsequenceFormal DeducibilityDisjunctive and Conjunctive Normal FormsAdequate Sets of ConnectivesFirst-Order Logic:Proposition Functions and QuantifiersFirst-Order LanguageSemanticsLogical ConsequenceFormal DeducibilityPrenex Normal FormFormal Deducibility — Another Type:Formal Deducibility of Another TypeRelation between the Two TypesSoundness and Completeness:Satisfiability and ValiditySoundnessCompleteness of Propositional LogicCompleteness of First-Order LogicCompleteness of First-Order Logic with EqualityIndependenceApplications of Soundness and Completeness:CompactnessL_wenheim-Skolem's TheoremHerbrand's TheoremSome Basic Notions of Model TheoryConstructive Logic: Logic for Constructive ReasoningSemanticsFormal DeducibilitySoundnessCompletenessModal Propositional Logic:Modal Propositional LanguageSemanticsFormal DeducibilitySoundnessCompleteness of TCompleteness of S4, B, S5Modal First-Order Logic:Modal First-Order LanguageSemanticsFormal DeducibilitySoundnessCompletenessEqualityReadership: Graduates, undergraduates and researchers in computer science.Key Features:A break-through innovation book that provides a ‘ground-floor’ view of innovationConnects true micro innovation processes to macro impactsContains practical guides for innovation stakeholders, individual innovators, investors, universities, corporations and governments