J. F. A. K. van Benthem

Modal logic for open minds

Wojciech Buszkowski

Witold Marciszewski

This book is devoted to the mathematical foundations of categorial grammar including type-theoretic foundations of mathematics, grammatical categories and other topics related to categorial grammar and to philosophical and linguistic applications of this framework. The volume consists of three parts. The first, introductory part, contains the editor's addresses and two survey chapters concerning the history (W. Marciszewski) and current trends of the discipline (J.van Benthem). The second part consists of 10 chapters devoted to categorial grammar proper, and the third part 7 chapters devoted to areas close to categorial grammar. Most of the contributions are original papers, but five of them are reprints of classics (M.J. Cresswell, P.T. Geach, H. Hiz, J. Lambek, T. Potts).

Categorial Grammar

Johan van Benthem

Benedikt Löwe

Dov Gabbay

Traditionally, logic has dealt with notions of truth and reasoning. In the past several decades, however, research focus in logic has shifted to the vast field of interactive logic—the domain of logics for both communication and interaction. The main applications of this move are logical approaches to games and social software; the wealth of these applications was the focus of the seventh Augustus de Morgan Workshop in November 2005. This collection of papers from the workshop serves as the initial volume in the new series Texts in Logics and Games—touching on research in logic, mathematics, computer science, and game theory. “A wonderful demonstration of contemporary topics in logic.”—Wiebe van der Hoek, University of Liverpool

Selected Papers from the 7th Augustus de Morgan Workshop, London

Interactive Logic

J. F. A. K. van Benthem

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