Titlebook: Joachim Lambek: The Interplay of Mathematics, Logic, and Linguistics; Claudia Casadio,Philip J. Scott Book 2021 The Editor(s) (if applicab

惊呼

The Mathematics of Text Structure,hat sentence. To do so, we exploited the perfect structural match of grammar and categories of meaning spaces. Here, we give a mathematical foundation, referred to as DisCoCirc, for how sentences interact in texts in order to produce the meaning of that text. First we revisit DisCoCat. While in DisC

杂色

Morphisms of Rings,ntroduce matrix-valued homomorphisms and then drop preservation of identities, giving what are sometimes called amplification homomorphisms. We show how these give extensions of the double category of rings and give some arguments justifying their study.

飞镖

Pomset Logic,near logic known as coherence spaces. In addition to the usual commutative multiplicative connectives of linear logic, pomset logic includes a noncommutative connective, “⊲” called ., associative and self-dual: (. ⊲ .). = . ⊲ .. The conclusion of a pomset logic proof is a Partially Ordered Multiset

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枯燥

冰雹

Book 2021 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 i

Extemporize

2211-2758 uence of Lambek’s methods in algebra, proof theory, and comp.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

Heterodoxy

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Neutral-Spine