Logic for Computer Science
Publisher: Wikibooks 2010
This book discusses logic as a tool for computer science; a field that uses logic at all levels. It 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.
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by Nuel Belnap - University of Pittsburgh
This course assumes you know how to use truth functions and quantifiers as tools. Our task here is to study these very tools. Contents: logic of truth functional connectives; first order logic of extensional predicates, operators, and quantifiers.
by Edward Nelson - Princeton Univ Pr
The book based on lecture notes of a course given at Princeton University in 1980. From the contents: the impredicativity of induction, the axioms of arithmetic, order, induction by relativization, the bounded least number principle, and more.
by Christopher C. Leary, Lars Kristiansen - Milne Library Publishing
In this book, readers with no previous study in the field are introduced to the basics of model theory, proof theory, and computability theory. The text is designed to be used either in an upper division undergraduate classroom, or for self study.
by Uli Furbach - Wikibooks
This book is intended for computer scientists and it assumes only some basic mathematical notions like relations and orderings. The aim was to create an interactive script where logics can be experienced by interaction and experimentation.