0
Your cart

Your cart is empty

Books > Science & Mathematics > Mathematics > Mathematical foundations > Mathematical logic

Buy Now

Cut Elimination in Categories (Hardcover, 1999 ed.) Loot Price: R4,719
Discovery Miles 47 190
Cut Elimination in Categories (Hardcover, 1999 ed.): K. Dosen

Cut Elimination in Categories (Hardcover, 1999 ed.)

K. Dosen

Series: Trends in Logic, 6

 (sign in to rate)
Loot Price R4,719 Discovery Miles 47 190 | Repayment Terms: R442 pm x 12*

Bookmark and Share

Expected to ship within 10 - 15 working days

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.

General

Imprint: Springer
Country of origin: Netherlands
Series: Trends in Logic, 6
Release date: May 1999
First published: May 1999
Authors: K. Dosen
Dimensions: 234 x 156 x 15mm (L x W x T)
Format: Hardcover
Pages: 229
Edition: 1999 ed.
ISBN-13: 978-0-7923-5720-9
Categories: Books > Science & Mathematics > Mathematics > Mathematical foundations > Mathematical logic
Promotions
LSN: 0-7923-5720-5
Barcode: 9780792357209

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!

You might also like..

Principia Mathematica
Russell Bertrand Russell Hardcover R1,316 Discovery Miles 13 160
Principia Mathematica
Russell Bertrand Russell Hardcover R1,358 Discovery Miles 13 580
Foundations without Foundationalism - A…
Stewart Shapiro Hardcover R5,547 Discovery Miles 55 470
Elementary Lessons in Logic - Deductive…
William Stanley Jevons Paperback R610 Discovery Miles 6 100
The Facts Matter - Essays on Logic and…
Sujata Ghosh Paperback R462 Discovery Miles 4 620
The Art of Logic - How to Make Sense in…
Eugenia Cheng Paperback  (1)
R355 R317 Discovery Miles 3 170
Best Books gegradeerde leesreeks: Vlak 1…
Best Books Paperback R90 R85 Discovery Miles 850
From Quantum Information to Musical…
Maria Luisa Dalla Chiara, Roberto Giuntini, … Paperback R560 Discovery Miles 5 600
Algebras, Lattices, Varieties - Volume…
Ralph S Freese, Ralph N. McKenzie, … Paperback R3,415 Discovery Miles 34 150
Theory and Applications of…
Florentin Smarandache, Madeline Al-Tahan Hardcover R7,586 Discovery Miles 75 860
The Scientific Art of Logic
Edward D Simmons Hardcover R1,443 R1,195 Discovery Miles 11 950
Advances and Applications of Fuzzy Sets…
Said Broumi Hardcover R12,092 Discovery Miles 120 920

See more

Partners