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Constructive Type Theory

Chapter in book
Authors Aarne Ranta
Published in The Handbook of Contemporary Semantic Theory
Pages 345-380
ISBN 978-0-470-67073-6
Publisher Wiley Blackwell
Publication year 2015
Published at Department of Computer Science and Engineering, Computing Science (GU)
Pages 345-380
Language en
Keywords type theory
Subject categories Language Technology (Computational Linguistics), Theoretical computer science, Linguistics


This chapter is about the type theory created by Martin-Lof in a series of papers (Martin-Lof, 1972, 1975, 1982) and a book (Martin-Lof, 1984). Originally called intuitionistic type theory, a more common name is constructive type theory. Also the name Martin-Lof's type theory is used. If there is no risk of confusion, we will just write type theory when referring to this theory. Constructive type theory covers several aspects of logic and mathematics, which are usually treated in separate formalisms:• reasoning, subsuming an extension of predicate ...

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Utskriftsdatum: 2020-08-09