Gambino, N orcid.org/0000-0002-4257-3590 and Aczel, P (2006) The generalised type-theoretic interpretation of constructive set theory. Journal of Symbolic Logic, 71 (1). pp. 67-103. ISSN 0022-4812
Abstract
We present a generalisation of the type-theoretic interpretation of constructive set theory into Martin-Löf type theory. The original interpretation treated logic in Martin-Löf type theory via the propositions-as-types interpretation. The generalisation involves replacing Martin-Löf type theory with a new type theory in which logic is treated as primitive. The primitive treatment of logic in type theories allows us to study reinterpretations of logic, such as the double-negation translation.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © Association for Symbolic Logic 2006. Reproduced in accordance with the publisher's self-archiving policy. |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 05 Sep 2017 13:00 |
Last Modified: | 05 Sep 2017 13:00 |
Status: | Published |
Publisher: | Cambridge University Press (CUP) |
Identification Number: | 10.2178/jsl/1140641163 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:113161 |