Skip to content

Soparlo Sports Library

Library of eBook in PDF, ePub, Kindle and Mobi

Menu
  • Home
  • Privacy Policy
  • Contact
  • DMCA
  • Terms of Use
Menu

Cut Elimination in Categories

Cut Elimination in Categories

Author: K. Dosen

Publisher: Springer Science & Business Media

ISBN: 9789401712071

Category: Philosophy

Page: 229

View: 568

Proof theory and category theory were first drawn together by Lambek some 30 years ago but, until now, the most fundamental notions of category theory (as opposed to their embodiments in logic) have not been explained systematically in terms of proof theory. Here it is shown that these notions, in particular the notion of adjunction, can be formulated in such as way as to be characterised by composition elimination. Among the benefits of these composition-free formulations are syntactical and simple model-theoretical, geometrical decision procedures for the commuting of diagrams of arrows. Composition elimination, in the form of Gentzen's cut elimination, takes in categories, and techniques inspired by Gentzen are shown to work even better in a purely categorical context than in logic. An acquaintance with the basic ideas of general proof theory is relied on only for the sake of motivation, however, and the treatment of matters related to categories is also in general self contained. Besides familiar topics, presented in a novel, simple way, the monograph also contains new results. It can be used as an introductory text in categorical proof theory.
Cut Elimination in Categories
Language: en
Pages: 229

Cut Elimination in Categories

Authors: K. Dosen
Categories: Philosophy
Type: BOOK - Published: 2013-04-18 - Publisher: Springer Science & Business Media

Proof theory and category theory were first drawn together by Lambek some 30 years ago but, until now, the most fundamental notions of category theory (as opposed to their embodiments in logic) have not been explained systematically in terms of proof theory. Here it is shown that these notions, in
New Structures for Physics
Language: en
Pages: 1031

New Structures for Physics

Authors: Bob Coecke
Categories: Science
Type: BOOK - Published: 2011-01-15 - Publisher: Springer

This volume provides a series of tutorials on mathematical structures which recently have gained prominence in physics, ranging from quantum foundations, via quantum information, to quantum gravity. These include the theory of monoidal categories and corresponding graphical calculi, Girard’s linear logic, Scott domains, lambda calculus and corresponding logics for typing,
Advances in Proof-Theoretic Semantics
Language: en
Pages: 283

Advances in Proof-Theoretic Semantics

Authors: Thomas Piecha, Peter Schroeder-Heister
Categories: Philosophy
Type: BOOK - Published: 2015-10-24 - Publisher: Springer

This volume is the first ever collection devoted to the field of proof-theoretic semantics. Contributions address topics including the systematics of introduction and elimination rules and proofs of normalization, the categorial characterization of deductions, the relation between Heyting's and Gentzen's approaches to meaning, knowability paradoxes, proof-theoretic foundations of set theory,
Language and Automata Theory and Applications
Language: en
Pages: 500

Language and Automata Theory and Applications

Authors: Carlos Martin-Vide, Friedrich Otto, Henning Fernau
Categories: Mathematics
Type: BOOK - Published: 2008-09-25 - Publisher: Springer

This book constitutes the refereed proceedings of the Second International Conference on Language and Automata Theory and Applications, LATA 2008, held in Tarragona, Spain, in March 2008. The 40 revised full papers presented were carefully reviewed and selected from 134 submissions. The papers deal with the various issues related to
Goguen Categories
Language: en
Pages: 208

Goguen Categories

Authors: Michael Winter
Categories: Philosophy
Type: BOOK - Published: 2007-08-14 - Publisher: Springer Science & Business Media

Goguen categories extend the relational calculus and its categorical formalization to the fuzzy world. Starting from the fundamental concepts of sets, binary relations and lattices, this book introduces several categorical formulations of an abstract theory of relations such as allegories, Dedekind categories and related structures. It is shown that neither

New Books

  • Teacher Selection: Evidence-Based Practices
  • The Making of the Inclusive School
  • Asset Protection
  • The Epoch of Bill Wolf II
  • Moore and Wittgenstein on Certainty
  • The American Judaism of Mordecai M. Kaplan
  • The Adventures of Gil Blas
  • One Fish Two Fish Red Fish Blue Fish
  • The Tuscan Secret
  • King of Sun Records 9
  • Automotive NVH Technology
  • Famous & Fun Duets 1
  • Key of Knowledge
  • The Way to Play – Book 1
  • Spatial Pattern in Plankton Communities
  • Christian Anarchist
  • Mediterranean Diet for Two
  • The Collapse of Time
  • The Oxford Encyclopedia of Health Economics
  • Bright Smoke, Cold Fire

Popular Books

  • International Handbook on Services for the Elderly
  • Making the Ordinary Extraordinary
  • Have Gun, Need Bullets-P
  • Call of the Night, Vol. 4
  • Black Gathering
  • Part of the Pride
  • Deadman's Land
  • My Apple iPad Air 4 User Guide
  • Prostate Cancer Methods and Protocols
  • One Day in the Woods
  • Paths, Patios and Decking
  • The Duke Who Loved Me
  • Manual de microondas
  • Total Sportscasting
  • Notes from Small Planets
  • The Complete Guide of Economics 2021
  • The Psychology of Yoga
  • Feminist Pedagogy, Practice, and Activism
  • A Companion to the Enlightenment
  • Amphigory Almanac
  • Introduction to Astronomical Photometry
  • Climate Change in Deserts
  • Titingo En Rincon
  • The Berlin Tunnel--A Cold War Thriller
  • Social Approaches to Communication
  • Simulation in Healthcare Education
  • Literature About Language
  • Degrade and Destroy
  • Data Communications Principles
  • Spear of the Emperor
©2022 Soparlo Sports Library | Built using WordPress and Responsive Blogily theme by Superb