Joachim Lambek : the interplay of mathematics, logic, and linguistics / Claudia Casadio, Philip J. Scott, editors.
Casadio, C. (Claudia); Scott, Philip J.
2021
QA9
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Title Joachim Lambek : the interplay of mathematics, logic, and linguistics / Claudia Casadio, Philip J. Scott, editors.
ISBN 3030665453
9783030665456 (electronic bk.)
3030665445
9783030665449
DOI https://doi.org/10.1007/978-3-030-66545-6
Imprint Cham : Springer, 2021.
Language English
Description 1 online resource (xxxii, 432 pages) : illustrations
Other Standard Identifiers 10.1007/978-3-030-66545-6 doi
Call Number QA9
Dewey Decimal Classification 511.3
Summary This book is dedicated to the life and work of the mathematician Joachim Lambek (19222014). The editors gather together noted experts to discuss the state of the art of various of Lambeks 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 Girards 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.
Access Note Access limited to authorized users.
Source of Description Description based on print version record.
Added Author Casadio, C. (Claudia)
Scott, Philip J.
Series Outstanding contributions to logic ; v. 20.
Available in Other Form Joachim Lambek: the Interplay of Mathematics, Logic, and Linguistics.
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Lambek's syntactic calculus and noncommutative variants of linear logic : laws and proof-nets
Sheaf representations and duality in logic
On the naturalness of Mal'tsev categories
Extensions of Lambek calculi
Categories with families : unityped, simply typed, and dependently typed
The mathematics of text structure
Aspects of categorical recursion theory
Morphisms of rings
Pomset logic : the other approach to noncommutativity in logic
Pregroup grammars, their syntax and semantics
The sequent calculus of skew monoidal categories.

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