Introduction to Mathematical Logic : World Scientific Publishing : 9789814343879 : 9814343870 : 25 Dec 2011 : This is a systematic and well-paced introduction to mathematical logic. Excellent as a course text, the book does not presuppose any previous knowledge and can be used also for self-study by more ambitious students.Starting with the basics of set theory, induction and computability, it covers propositional and first-order logic ? their syntax, reasoning systems and semantics. Soundness and completeness results for Hilbert's and Gentzen's systems are presented, along with simple decidability arguments. The general applicability of various concepts and techniques is demonstrated by highlighting their consistent reuse in different contexts.Unlike in most comparable texts, presentation of syntactic reasoning systems precedes the semantic explanations. The simplicity of syntactic constructions and rules ? of a high, though often neglected, pedagogical value ? aids students in approa