An Introduction to Mathematical Logic
by Wolfram Pohlers, Thomas Glass
Number of pages: 229
This text treats pure logic and in this connection introduces to basic proof-theoretic techniques. In the second part fundamentals of model theory and in the third part those of recursion theory are dealt with. Furthermore, some extensions of first order logic are treated. Finally, axiom systems for number theory are introduced and Godel's theorems are proved.
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by Nuel Belnap - University of Pittsburgh
Contents: Grammar; The art of the logic of truth-functional connectives; Quantifier proofs; A modicum of set theory; Symbolizing English quantifiers; Quantifier semantics - interpretation and counterexample; Theories; Definitions.
by Kees Doets, Jan van Eijck - College Publications
The purpose of this book is to teach logic and mathematical reasoning in practice, and to connect logical reasoning with computer programming. The programming language that will be our tool for this is Haskell, a member of the Lisp family.
An undergraduate college level textbook covering first order predicate logic with identity but omitting metalogical proofs. The first rules of formal logic were written over 2300 years ago by Aristotle and are still vital.
This book provides a survey of mathematical logic and its various applications. After covering basic material of propositional logic and first-order logic, the course presents the foundations of finite model theory and descriptive complexity.