The Handbook of Logic in Computer Science is a six-volume, internationally authored work which offers a comprehensive treatment of the application of logic to theoretical computer science. Each volume is comprised of an average of five 100-page monographs and presents an in-depth overview of one of the field's major topics. Current volume topics include mathematical and computational structures; forthcoming volumes will cover semantic structures, semantic modelling, theoretical methods in specification and verification, and logical methods in computer science. The result of five years of...

Logic is now widely recognized as one of the foundational disciplines of computing and has applications in virtually all aspects of the subject, from software engineering and hardware to programming languages and artificial intelligence. The Handbook of Logic in Artificial Intelligence and its companion The Handbook of Logic in Computer Science were created in response to the growing need for an in-depth survey of these applications. This handbook comprises five volumes, each an in-depth overview of one of the major topics in this area. The result of years of cooperative effort by...

This superb collection of papers focuses on a fundamental question in logic and computation: What is a logical system? With contributions from leading researchers--including Ian Hacking, Robert Kowalski, Jim Lambek, Neil Tennent, Arnon Avron, L. Farinas del Cerro, Kosta Dosen, and Solomon Feferman--the book presents a wide range of views on how to answer such a question, reflecting current, mainstream approaches to logic and its applications. Written to appeal to a diverse audience of readers, What is a Logical System? will excite discussion among students, teachers, and researchers in...

Agenda Relevance is the first volume in the authors' omnibus investigation of
the logic of practical reasoning, under the collective title, A Practical Logic
of Cognitive Systems. In this highly original approach, practical reasoning is
identified as reasoning performed with comparatively few cognitive assets,
including resources such as information, time and computational capacity. Unlike
what is proposed in optimization models of human cognition, a practical reasoner
lacks perfect information, boundless time and unconstrained access to
computational complexity. The...

With the publication of the present volume, the Handbook of the History of Logic turns its attention to the rise of modern logic. The period covered is 1685-1900, with this volume carving out the territory from Leibniz to Frege. What is striking about this period is the earliness and persistence of what could be called 'the mathematical turn in logic'. Virtually every working logician is aware that, after a centuries-long run, the logic that originated in antiquity came to be displaced by a new approach with a dominantly mathematical character. It is, however, a substantial error to suppose...

Logic for Artificial Intelligence and Information Technology is based on student notes used to teach logic to second year undergraduates and Artificial Intelligence to graduate students at the University of London since1984, first at Imperial College and later at Kings College.

Logic has been applied to a wide variety of subjects such as theoretical computer science, software engineering, hardware design, logic programming, computational linguistics and artificial intelligence. In this way it has served to stimulate the research for clear conceptual foundations.

Over the past 20 years many...

This monograph is an investigation into certain new logical structures implicit in the formalism of quantum mechanics. Its message rests on two pillars. The first pillar is the dynamic view of propositions. Propositions are viewed as acting on states of the world and changing them rather than just being true or false in them. The second pillar is a logical enquiry into the nature of the states of a dynamic framework in general and thus the nature of physical states in particular. It turns out that a physical state viewed as a logical entity must encode other states and also itself. The main...

In this book we describe the fundamental rules for conflict resolution and address the basic Talmudic methods for resolving conflict. We also investigate logical loops in Talmudic argumentation. It is obvious that one needs met-level (out of the box) considerations. We also consider conflicts between Biblical Obligations and Prohibitions, a topic we studied in our third book. We conclude by comparing some features of conflict resolution with our matrix model presented in our first book.