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" A modern perspective on type theory : "
by Fairouz Kamareddine, Twan Laan, and Rob Nederpelt.
Document Type
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BL
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Record Number
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1006831
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Doc. No
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b761201
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Main Entry
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Kamareddine, Fairouz D.
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Title & Author
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A modern perspective on type theory : : from its origins until today /\ by Fairouz Kamareddine, Twan Laan, and Rob Nederpelt.
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Publication Statement
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Dordrecht ;Boston :: Kluwer Academic Publishers,, ©2004.
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Series Statement
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Applied logic series ;; v. 29
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Page. NO
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1 online resource (xiv, 357 pages)
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ISBN
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1402023340
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: 1402023359
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: 9781402023347
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: 9781402023354
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Bibliographies/Indexes
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Includes bibliographical references (pages 337-348) and indexes.
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Contents
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The evolution of type theory until the 1940s -- Propositions as types, pure type systems, AUTOMATH -- Extensions of pure type systems.
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Abstract
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"This first part of the book is historical, yet at the same time, places historical systems (like Russell's RTT) in the modern setting. The second part deals with modern type theory as it developed since the 1940s, and with the role of propositions as types (or proofs as terms), but at the same time, places another historical system (the proof checker Automath) in the modern setting. The third part uses this bridging in the first two parts between historical modern setting. The third part uses this bridging in the first two parts between historical and modern systems to propose new systems that bring more advantages together. This book has much to offer to mathematicians, logicians and to computer scientists in general."--Jacket.
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Subject
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Type theory.
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Subject
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MATHEMATICS-- Infinity.
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Subject
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MATHEMATICS-- Logic.
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Subject
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Type theory.
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Subject
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Type theory.
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Subject
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Typentheorie.
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Dewey Classification
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511.3
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LC Classification
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QA9.K225 2004
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NLM classification
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31.10bcl
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O144. 4clc
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Added Entry
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Laan, Twan.
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Nederpelt, R. P., (Rob P.)
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