Johan van Benthem

Johan van Benthem is University Professor of Pure and Applied Logic at the University of Amsterdam and Henry Waldgrave Stuart Professor of Philosophy at Stanford University. He is the author of Language in Action: Categories, Lambdas, and Dynamic Logic (MIT Press), Exploring Logical Dynamics, Logical Dynamics of Information and Interaction, and other books.

  • Logic in Games

    Logic in Games

    Johan van Benthem

    A comprehensive examination of the interfaces of logic, computer science, and game theory, drawing on twenty years of research on logic and games.

    This book draws on ideas from philosophical logic, computational logic, multi-agent systems, and game theory to offer a comprehensive account of logic and games viewed in two complementary ways. It examines the logic of games: the development of sophisticated modern dynamic logics that model information flow, communication, and interactive structures in games. It also examines logic as games: the idea that logical activities of reasoning and many related tasks can be viewed in the form of games.

    In doing so, the book takes up the “intelligent interaction” of agents engaging in competitive or cooperative activities and examines the patterns of strategic behavior that arise. It develops modern logical systems that can analyze information-driven changes in players' knowledge and beliefs, and introduces the “Theory of Play” that emerges from the combination of logic and game theory. This results in a new view of logic itself as an interactive rational activity based on reasoning, perception, and communication that has particular relevance for games.

    Logic in Games, based on a course taught by the author at Stanford University, the University of Amsterdam, and elsewhere, can be used in advanced seminars and as a resource for researchers.

    • Hardcover $60.00
  • Handbook of Logic and Language

    Handbook of Logic and Language

    Johan van Benthem and Alice G.B. ter Meulen

    The twenty chapters in this book show both sides of the interaction between logic and language: how logical systems are designed and modified in response to linguistic needs, and how mathematical theory arises out of this process and affects subsequent linguistic theory.

    The combined study of logic and language goes back at least as far as the Middle Ages. In the last twenty-five years it has gained momentum with the formulation of Montague semantics and Generative Syntax, and the subsequent diversification of research programs. The Handbook of Logic and Language is the first comprehensive survey of the field. The twenty chapters show both sides of the interaction between logic and language: how logical systems are designed and modified in response to linguistic needs, and how mathematical theory arises out of this process and affects subsequent linguistic theory.

    ContributorsN. Asher, D. Beaver, W. Buszkowski, D. de Jongh, J. E. Fenstad, J. Groenendijk, H. Hendriks, J. Higginbotham, J. Hintikka, T. M. V. Janssen, H. Kamp, E. J. Keenan, J. T. Lønning, E. Martin, M. J. Moortgat, L. S. Moss, R. Muskens, D. Osherson, B. H. Partee, F. J. Pelletier, W. C. Rounds, G. Sandu, J. Seligman, M. Steedman, M. Stokhof, R. H. Thomason, R. Turner, J. van Benthem, J. van Eijck, A. Visser, D. Westerståhl

    • Hardcover $200.00
    • Paperback $110.00
  • Language in Action

    Language in Action

    Categories, Lambdas, and Dynamic Logic

    Johan van Benthem

    Language in Action demonstrates the viability of mathematical research into the foundations of categorial grammar, a topic at the border between logic and linguistics. Since its initial publication it has become the classic work in the foundations of categorial grammar. A new introduction to this paperback edition updates the open research problems and records relevant results through pointers to the literature. Van Benthem presents the categorial processing of syntax and semantics as a central component in a more general dynamic logic of information flow, in tune with computational developments in artificial intelligence and cognitive science. Using the paradigm of categorial grammar, he describes the substructural logics driving the dynamics of natural language syntax and semantics. This is a general type-theoretic approach that lends itself easily to proof-theoretic and semantic studies in tandem with standard logic. The emphasis is on a broad landscape of substructural categorial logics and their proof-theoretical and semantic peculiarities. This provides a systematic theory for natural language understanding, admitting of significant mathematical results. Moreover, the theory makes possible dynamic interpretations that view natural languages as programming formalisms for various cognitive activities.

    • Paperback $40.00