On Recursion And Its Varieties
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On Recursion and Its Varieties
This book discusses linguistic recursion as a transversal property that runs through different fields, including language, computer science, mathematics, architecture, music, and art. Linguistic recursion, considered since the seminal work of Hauser, Chomsky, and Fitch (2002) the defining characteristic of human language, has no analogue or homologue in other animal communication systems. This book presents different aspects of recursion from a syntactic, semantic, and pragmatic framework. Syntax recursion is largely addressed through the different types of dependencies, most notably those hierarchically composed. The semantic and pragmatic topics are respectively discussed in relation to the theory of mind and a dialogical use of language. Although there are several texts on specific topics of recursion, this is the first that compiles its varieties, pointing out the differences, but also the interrelationships of its core aspects. The book presents recursion as a complex phenomenon related not only to language, but also to other cognitive scenarios, such as working memory, linguistic disabilities, or primitive cultures.
Recursion Theory
Author: Frank Robert Drake
language: en
Publisher: Cambridge University Press
Release Date: 1980
This book is a collection of advanced research/survey papers by eminent research workers in the Recursion theory.
Characters in Low-Dimensional Topology
Author: Olivier Collin
language: en
Publisher: American Mathematical Soc.
Release Date: 2020-12-14
This volume contains the proceedings of a conference celebrating the work of Steven Boyer, held from June 2–6, 2018, at Université du Québec à Montréal, Montréal, Québec, Canada. Boyer's contributions to research in low-dimensional geometry and topology, and to the Canadian mathematical community, were recognized during the conference. The articles cover a broad range of topics related, but not limited, to the topology and geometry of 3-manifolds, properties of their fundamental groups and associated representation varieties.