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SIGN LANGUAGE Uyechi, Linda (Stanford University); THE GEOMETRY OF VISUAL PHONOLOGY; ISBN: 1-57586-013-9 (cloth); 1-57586-012-0 (paper); 246 pp. CSLI Publications 1997: http://csli-www.stanford.edu/publications/ email: pubsMail to author|Respond to list|Read more issues|LINGUIST home page|Top of issueroslin.stanford.edu Uyechi presents an extremely thorough and formal empirical description of the various features of ASL signs, of interest to any theoretician in developing a theory of sign phonology or in testing claims in the theory of the phonology of spoken languages against data from a signed language. The author also presents a formalism for representing signs and makes a number of theoretical proposals based on formalism. The volume's analysis indicates that the properties of core constructs of the spoken language phonology, namely the segment and the syllable, differ from the properties of the core constructs in a formal framework of visual phonology. LOGIC, LANGUAGE and INFORMATION STUDIES IN LOGIC, LANGUAGE AND INFORMATION Doherty, Patrick A. (Linkoping University, Sweden); PARTIALITY, MODALITY, AND NONMONOTONICITY; ISBN: 1-57586-031-7 (cloth); 1-57586-030-9 (paper), 312 pp. CSLI Publications 1996: http://csli-www.stanford.edu/publications/ email: pubs
roslin.stanford.edu This edited volume of articles provides a state-of-the-art description of research in logic-based approaches to knowledge representation, which combines approaches to reasoning with incomplete information that includes partial, modal, and nonmonotonic logics. The collection contains two parts: foundations and case studies. The foundations section provides a general overview of partiality, multi-valued logics, use of modal logic to model partiality and resource-limited interference, and an integration of partial and modal logics. The case studies section provides specific studies of issues raised in the foundations section. Several of the case studies integrate modal and partial modal logics with nonmonotonic logics. The contributors consider both theoretical and practical aspects of such integration, and cover knowledge represetnation issues such as default reasoning, theories of action and change, reason maintenance, awareness, and automation of nonmonotonic reasoning. Doets, Kees (University of Amsterdam); BASIC MODEL THEORY; ISBN: 1-57586-049-X (cloth); 1-57586-048-1 (paper); 144 pp. CSLI Publications 1996: http://csli-www.stanford.edu/publications/ email: pubs
roslin.stanford.edu Model theory investigates the relationships between mathematical structures ("models") on the one hand and formal languages (in which statements about these structures can be formulated) on the other. Examples of these structures are the natural numbers with the usual arithmetical operations; the natural numbers with the usual arithmetical operations; the structures familiar from algebra; and ordered sets. The emphasis in this book is on first-order languages, whose model theory is best known. An example of a result is Lowenheim's theory (the oldest in the field): a first-order sentence true of some uncountable structure must hold in some countable structure as well. The author deals with second-order languages and several of its fragments as well. As the title indicates, this book introduces the reader to what is basic in model theory. A special feature is its use of the Ehrenfeucht game by which the reader is familiarized with the world of models. Brewka, Gerhard (Technical University of Vienna); PRINCIPLES OF KNOWLEDGE REPRESENTATION; ISBN: 1-57586-057-0 (cloth); 1-57586-056-2 (paper); 336 pp. CSLI Publications 1997: http://csli-www.stanford.edu/publications/ email: pubs
roslin.stanford.edu This book contains a collection of eight survey papers written by some of the best researchers in foundations of knowledge representation and reasoning. It ocvers topics such as theories of uncertainty, nonmonotonic and causal reasoning, logic programming, abduction, inductive logic programming, description logics, complexity in Artificial Intelligence, and model based diagnosis. It thus provides an up-to-date coverage of recent approaches to some of the most challenging problems underlying knowledge representation and Artificial Intelligence in general. Fuhrmann, Andre' (University of Konstanz, Germany); AN ESSAY ON CONTRACTION; ISBN: 1-57586-055-4 (cloth); 1-57586-054-6 (paper); 120 pp. CSLI Publications 1997: http://csli-www.stanford.edu/publications/ email: pubs
roslin.stanford.edu This book generalizes earlier theories of belief change to cover all kinds of changes of sets by sets. The principal focus is still on changes of belief sets in response to new evidence. But the formal theory extends to all domains with a closure operation oand a preference structure, including, for example, systems of action. Contraction is the key notion; all other changes can be defined. Various new applications of the theory are outlined. A sentential version of contraction, subtraction, is proposed as a formal counterpart to "except"-locutions in natural language. Connections are emphasized with other areas at the interface between philosophical logic and artificial intelligence such as reasoning form default assumptions or from inconsistent premises. Marx, Maarten (Imperial College, London), Polos, La'szlo' (University of Amsterdam), and Masuch, Michael (University of Amsterdam); ARROW LOGIC AND MULTI-MODAL LOGIC; ISBN: 1-57586-025-2 (cloth); 1-57586-024-4 (paper); 264 pp. CSLI Publications 1997: http://csli-www.stanford.edu/publications/ Conceived by Johan van Benthem and Yde Venema, arrow logic started as an attempt to give a general account of the logic of transitions. The generality of the approach provides a wide application area ranging from philosophy to computer science. This book gives a comprehensive survey of logical research within and around arrow logic. Since the natural operations on transitions include composition, inverse and identity, we can study their logic--arrow logic--from two different perspectives, and by two (complementary) methodologies: modal logic and the algebra of relations. Some of the results in this volume can be interpreted as price tages. They show what the prices of desirable properties, such as decidability, (finite) axiomatizability, Craig interpolation property, Beth definability etc. are in terms of semantic properties of the logic. The book will benefit researchers with an interest in modal logic and relation algebra. van Benthem, Johan (University of Amsterdam and Stanford University); EXPLORING LOGICAL DYNAMICS; ISBN: 1-57586-059-7 (cloth); 1-57586-058-9 (paper); 288 pp. CSLI Publications 1997: http://csli-www.stanford.edu/publications/ email: pubs
roslin.stanford.edu This book is an exploration of current trends in logical theories of information flow across various fields, such as belief revision in computer science and dynamic semantics in linguistics. It provides one mathematical perspective encompassing all of these fields. This framework generates a new agenda of questions concerning dynamic inference and dynamic operators. The result is a mathematical theory of process models, simulations between these, and modal languages over them, which is developed in detail. New results include theorems on expressive completeness, representation of styles of inference, and new kinds of decidable remodeling for standard logics.