Books by Dov M. Gabbay

This book regards Dung's abstract argumentation frames as a general network, comparable to other networks such as general logics neural-nets, ecology nets, electrical networks, flow networks and so on. As such the book imports general meta-logical methods and applies them to argumentation and exports ideas from argumentation to general logics and networks. Among the topics discussed are ¿ Connection with modal logic ¿ Connections with the Peirce-Quine dagger connective ¿ Combining and merging networks ¿ Bipolar networks ¿ Numerical and weighted argumentation networks ¿ The equational approach to networks ¿ Temporal aspects of networks ¿ Handling of loops ¿ Connection with logic programming ¿ Higher level attack and support The book presents many research problems suitable for students' PhD theses. This is an indispensable book for any serious researcher in abstract argumentation networks and an outstanding contribution to the future evolution of the subject.

We analyse the Klal uPrat family of textual rules in the Talmud. We view them as common-sense practical rules for defining sets. Such methods do not exist in general common-sense logical systems, and they complement the existing common-sense (non-monotonic) deductive logics.

This book returns to the discussion in volume 1 on analogy and induction,and analyses their substance. The first part distinguishes between twokinds of logic: One kind based on union of the common features, and theother kind based on synthesis of different features. In the second part ofthe book we propose a formal scheme for synthesis of concepts. The thirdpart analyses various mechanisms for kidushin and kinyan, which form amathematical group.

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 logical structures under investigation are that of an M-algebra and that of a holistic logic. In a sense to be made precise the latter structures reflect the 'holistic' nature of quantum mechanics.

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 King's 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 extensions of classical logic such as temporal, modal, relevance, fuzzy, probabilistic and non-monotoinic logics have been widely used in computer science and artificial intelligence, therefore requiring new formulations of classical logic, which can be modified to yield the effect of the new applied logics.The text introduces classical logic in a goal directed way which can easily deviate into discussing other applied logics. It defines the many types of logics and differences between them.Dov Gabbay, FRSC, FAvH, FRSA, FBCS, is Augustus De Morgan Professor of Logic at the University of London. He has written over 300 papers in logic and over 20 books. He is Editor-in-Chief of several leading journals and has published over 50 handbooks of logic volumes. He is a world authority on applied logics and is one of the directors and founder of the UK charity the International Federation of Computational Logic

BL Indispensable reference for both the pure logician and the theoretical computer scientistThis long awaited book gives a thorough account of the mathematical foundations of Temporal Logic, one of the most important areas of logic in computer science.

The Handbook of Logic in Computer Science is a multi-volume work covering all major areas of application of logic to theoretical computer science.