front cover of Logic, Langage and Computation, Volume 2
Logic, Langage and Computation, Volume 2
Edited by Lawrence S. Moss, Jonathan Ginzburg, and Maarten de Rijke
CSLI, 1999
The fields of logic, linguistics and computer science are intimately related, and modern research has uncovered a wide range of connections. This collection focuses on work that is based on the unifying concept of information. This collection of nineteen papers covers subjects such as channel theory, presupposition and constraints, the modeling of discourse, and belief. They were all presented at the 1996 Conference on Information-Theoretic Approaches to Logic, Language, Information, and Computation.
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front cover of Mathematical Structures in Languages
Mathematical Structures in Languages
Edward Keenan and Larry Moss
CSLI, 2015
Mathematical Structures in Languages introduces a number of mathematical concepts that are of interest to the working linguist. The areas covered include basic set theory and logic, formal languages and automata, trees, partial orders, lattices, Boolean structure,  generalized quantifier theory, and linguistic invariants, the last drawing on Edward L. Keenan and Edward Stabler’s Bare Grammar: A Study of Language Invariants, also published by CSLI Publications. Ideal for advanced undergraduate and graduate students of linguistics, this book contains numerous exercises and will be a valuable resource for courses on mathematical topics in linguistics. The product of many years of teaching, Mathematic Structures in Languages is very much a book to be read and learned from.
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front cover of Vicious Circles
Vicious Circles
Jon Barwise and Lawrence S. Moss
CSLI, 1996
The subject of non-wellfounded sets came to prominence with the 1988 publication of Peter Aczel's book on the subject. Since then, a number of researchers in widely differing fields have used non-wellfounded sets (also called "hypersets") in modeling many types of circular phenomena. The application areas range from knowledge representation and theoretical economics to the semantics of natural language and programming languages. Vicious Circles offers an introduction to this fascinating and timely topic. Written as a book to learn from, theoretical points are always illustrated by examples from the applications and by exercises whose solutions are also presented. The text is suitable for use in a classroom, seminar, or for individual study. In addition to presenting the basic material on hypersets and their applications, this volume thoroughly develops the mathematics behind solving systems of set equations, greatest fixed points, coinduction, and corecursion. Much of this material has not appeared before. The application chapters also contain new material on modal logic and new explorations of paradoxes from semantics and game theory.
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