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Mathematical Structures in Language
  • Language: en

Mathematical Structures in Language

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.

Initial Algebras and Terminal Coalgebras
  • Language: en

Initial Algebras and Terminal Coalgebras

Providing an in-depth treatment of an exciting research area, this text's central topics are initial algebras and terminal coalgebras, primary objects of study in all areas of theoretical computer science connected to semantics. It contains a thorough presentation of iterative constructions, giving both classical and new results on terminal coalgebras obtained by limits of canonical chains, and initial algebras obtained by colimits. These constructions are also developed in enriched settings, especially complete partial orders and complete metric spaces, connecting the book to topics like domain theory. Also included are an extensive treatment of set functors, and the first book-length presentation of the rational fixed point of a functor, and of lifting results which connect fixed points of set functors with fixed points on other categories. Representing more than fifteen years of work, this will be the leading text on the subject for years to come.

Vicious Circles
  • Language: en
  • Pages: 400

Vicious Circles

Circular analyses of philosophical, linguistic, or computational phenomena have been attacked on the assumption that they conflict with mathematical rigour. Barwise and Moss have undertaken to prove this assumption false. This volume is concerned with extending the modelling capabilities of set theory to provide a uniform treatment of circular phenomena. As a means of guiding the reader through the concrete examples of the theory, the authors have included many exercises and solutions: these exercises range in difficulty and ultimately stimulate the reader to come up with new results. Vicious Circles is intended for use by researchers who want to use hypersets; although some experience in mathematics is necessary, the book is accessible to people with widely differing backgrounds and interests.

Algebra, Meaning, and Computation
  • Language: en
  • Pages: 679

Algebra, Meaning, and Computation

This volume - honoring the computer science pioneer Joseph Goguen on his 65th Birthday - includes 32 refereed papers by leading researchers in areas spanned by Goguen's work. The papers address a variety of topics from meaning, meta-logic, specification and composition, behavior and formal languages, as well as models, deduction, and computation, by key members of the research community in computer science and other fields connected with Joseph Goguen's work.

Rohit Parikh on Logic, Language and Society
  • Language: en
  • Pages: 359

Rohit Parikh on Logic, Language and Society

  • Type: Book
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  • Published: 2017-03-01
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  • Publisher: Springer

This book discusses major milestones in Rohit Jivanlal Parikh’s scholarly work. Highlighting the transition in Parikh’s interest from formal languages to natural languages, and how he approached Wittgenstein’s philosophy of language, it traces the academic trajectory of a brilliant scholar whose work opened up various new avenues in research. This volume is part of Springer’s book series Outstanding Contributions to Logic, and honours Rohit Parikh and his works in many ways. Parikh is a leader in the realm of ideas, offering concepts and definitions that enrich the field and lead to new research directions. Parikh has contributed to a variety of areas in logic, computer science and g...

Information, Interaction, and Agency
  • Language: en
  • Pages: 370

Information, Interaction, and Agency

Contemporary epistemological and cognitive studies, as well as recent trends in computer science and game theory have revealed an increasingly important and intimate relationship between Information, Interaction, and Agency. Agents perform actions based on the available information and in the presence of other interacting agents. From this perspective Information, Interaction, and Agency neatly ties together classical themes like rationality, decision-making and belief revision with games, strategies and learning in a multi-agent setting. Unified by the central notions Information, Interaction, and Agency, the essays in this volume provide refreshing methodological perspectives on belief revision, dynamic epistemic logic, von Neumann games, and evolutionary game theory; all of which in turn are central approaches to understanding our own rationality and that of other agents. Reprinted from Synthese, 139:2 and 142:2 (2004), Special Section Knowledge, Rationality, and Action.

Logic, Language, Information, and Computation
  • Language: en
  • Pages: 201

Logic, Language, Information, and Computation

  • Type: Book
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  • Published: 2015-06-28
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  • Publisher: Springer

Edited in collaboration with FoLLI, the Association of Logic, Language and Information this book constitutes the refereed proceedings of the 22nd Workshop on Logic, Language, Information and Computation, WoLLIC 2015, held in the campus of Indiana University, Bloomington, IN, USA in July 2015. The 14 contributed papers, presented together with 8 invited lectures and 4 tutorials, were carefully reviewed and selected from 44 submissions. The focus of the workshop was on interdisciplinary research involving formal logic, computing and programming theory, and natural language and reasoning.

Algebraic Structures in Natural Language
  • Language: en
  • Pages: 309

Algebraic Structures in Natural Language

  • Type: Book
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  • Published: 2022-12-23
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  • Publisher: CRC Press

Algebraic Structures in Natural Language addresses a central problem in cognitive science concerning the learning procedures through which humans acquire and represent natural language. Until recently algebraic systems have dominated the study of natural language in formal and computational linguistics, AI, and the psychology of language, with linguistic knowledge seen as encoded in formal grammars, model theories, proof theories and other rule-driven devices. Recent work on deep learning has produced an increasingly powerful set of general learning mechanisms which do not apply rule-based algebraic models of representation. The success of deep learning in NLP has led some researchers to que...

Correct Hardware Design and Verification Methods
  • Language: en
  • Pages: 488

Correct Hardware Design and Verification Methods

  • Type: Book
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  • Published: 2003-06-30
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  • Publisher: Springer

This volume contains the proceedings of CHARME 2001, the Eleventh Advanced Research Working Conference on Correct Hardware Design and Veri?cation Methods. CHARME 2001 is the 11th in a series of working conferences devoted to the development and use of leading-edge formal techniques and tools for the design and veri?cation of hardware and hardware-like systems. Previous events in the ‘CHARME’ series were held in Bad Herrenalb (1999), Montreal (1997), Frankfurt (1995), Arles (1993), and Torino (1991). This series of meetings has been organized in cooperation with IFIP WG 10.5 and WG 10.2. Prior meetings, stretching backto the earliest days of formal hardware veri?cation, were held under va...

Formal Methods for Components and Objects
  • Language: en
  • Pages: 517

Formal Methods for Components and Objects

This book presents revised tutorial lectures given by invited speakers at the First International Symposium on Formal Methods for Components and Objects, FMCO 2002, held in Leiden, The Netherlands, in November 2002. The 21 revised lectures by leading researchers present a comprehensive account of the potential of formal methods applied to complex software systems such as components and object systems. The book makes a unique contribution to bridging the gap between theory and practice in software engineering.