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Joachim Lambek: The Interplay of Mathematics, Logic, and Linguistics

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Joachim Lambek: The Interplay of Mathematics, Logic, and Linguistics/ edited by Claudia Casadio, Philip J. Scott.
其他作者:	Scott, Philip J.
面頁冊數:	XXXII, 432 p. 1 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Mathematical Logic and Foundations. -
電子資源:	https://doi.org/10.1007/978-3-030-66545-6
ISBN:	9783030665456

Joachim Lambek: The Interplay of Mathematics, Logic, and Linguistics
Joachim Lambek: The Interplay of Mathematics, Logic, and Linguistics[electronic resource] /edited by Claudia Casadio, Philip J. Scott. - 1st ed. 2021. - XXXII, 432 p. 1 illus.online resource. - Outstanding Contributions to Logic,202211-2766 ;. - Outstanding Contributions to Logic,7.

Chapter 1. Introduction (Joachim Lambek) -- Chapter 2. Lambek’s Syntactic Calculus and Noncommutative Variants of Linear Logic: Laws and Proof-Nets (Michele Abrusci) -- Chapter 3. Sheaf Representations and Duality in Logic (Steve Awodey) -- Chapter 4. On the naturalness of Maltsev categories (D. Bourn) -- Chapter 5. Extensions of Lambek Calculi (Wojciech Buszkowski) -- Chapter 6. Categories with Families: Unityped, Simply Typed, and Dependently Typed (Simon Castellan) -- Chapter 7. The Mathematics of Text Structure (Bob Coecke) -- Chapter 8. Aspects of Categorical Recursion Theory (Pieter Hofstra) -- Chapter 9. Pomset logic: another approach to non commutativity in logic (Christian Retoré) -- Chapter10. Morphisms of Rings (Robert Paré) -- Chapter 11. Pregroup Grammars, their Syntax and Semantics (Mehrnoosh Sadrzadeh) -- Chapter 12. The Sequent Calculus of Skew Monoidal Categories (Tarmo Uustalu).

This book is dedicated to the life and work of the mathematician Joachim Lambek (1922–2014). The editors gather together noted experts to discuss the state of the art of various of Lambek’s works in logic, category theory, and linguistics and to celebrate his contributions to those areas over the course of his multifaceted career. After early work in combinatorics and elementary number theory, Lambek became a distinguished algebraist (notably in ring theory). In the 1960s, he began to work in category theory, categorical algebra, logic, proof theory, and foundations of computability. In a parallel development, beginning in the late 1950s and for the rest of his career, Lambek also worked extensively in mathematical linguistics and computational approaches to natural languages. He and his collaborators perfected production and type grammars for numerous natural languages. Lambek grammars form an early noncommutative precursor to Girard’s linear logic. In a surprising development (2000), he introduced a novel and deeper algebraic framework (which he called pregroup grammars) for analyzing natural language, along with algebraic, higher category, and proof-theoretic semantics. This book is of interest to mathematicians, logicians, linguists, and computer scientists.

ISBN: 9783030665456

Standard No.: 10.1007/978-3-030-66545-6doiSubjects--Topical Terms:

669393
Mathematical Logic and Foundations.

LC Class. No.: BC1-199

Dewey Class. No.: 160

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