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Titlebook: Extensional Constructs in Intensional Type Theory; Martin Hofmann Book 1997 Springer-Verlag London Limited 1997 calculus.decidability.equa

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发表于 2025-3-21 16:57:48 | 显示全部楼层 |阅读模式
书目名称Extensional Constructs in Intensional Type Theory
编辑Martin Hofmann
视频video
丛书名称Distinguished Dissertations
图书封面Titlebook: Extensional Constructs in Intensional Type Theory;  Martin Hofmann Book 1997 Springer-Verlag London Limited 1997 calculus.decidability.equa
描述.Extensional Constructs in Intensional Type Theory. presents a novel approach to the treatment of equality in Martin-Loef type theory (a basis for important work in mechanised mathematics and program verification). Martin Hofmann attempts to reconcile the two different ways that type theories deal with identity types. The book will be of interest particularly to researchers with mainly theoretical interests and implementors of type theory based proof assistants, and also fourth year undergraduates who will find it useful as part of an advanced course on type theory.
出版日期Book 1997
关键词calculus; decidability; equality; identity; mathematics; program verification; proof; semantics; theorem pro
版次1
doihttps://doi.org/10.1007/978-1-4471-0963-1
isbn_softcover978-1-4471-1243-3
isbn_ebook978-1-4471-0963-1
copyrightSpringer-Verlag London Limited 1997
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发表于 2025-3-21 21:39:16 | 显示全部楼层
Applications,give actual Lego syntax here. The main purpose of the examples is to explain the usefulness of extensional constructs as intermediate “macro language” rather than working with setoids or deliverables directly.
发表于 2025-3-22 02:47:50 | 显示全部楼层
Syntactic properties of propositional equality,ous thing, which is nevertheless not completely trivial to prove (Section 3.2.2). The second property is the conservativity of extensional type theory over intensional type theory with extensional constructs (Section 3.2.5). These two properties constitute the major justification for the use of intensional type theory with extensional constructs.
发表于 2025-3-22 05:52:34 | 显示全部楼层
Proof irrelevance and subset types,tions (ECC) [68]. Under the first one specifications and types are freely mixed using .-types. This methodology underpins a project for development of correct software at the University of Ulm [112]. It is also the most natural approach and is probably employed by most users of type systems like the ones under consideration.
发表于 2025-3-22 11:40:27 | 显示全部楼层
Book 1997ith identity types. The book will be of interest particularly to researchers with mainly theoretical interests and implementors of type theory based proof assistants, and also fourth year undergraduates who will find it useful as part of an advanced course on type theory.
发表于 2025-3-22 13:32:04 | 显示全部楼层
ies deal with identity types. The book will be of interest particularly to researchers with mainly theoretical interests and implementors of type theory based proof assistants, and also fourth year undergraduates who will find it useful as part of an advanced course on type theory.978-1-4471-1243-3978-1-4471-0963-1
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发表于 2025-3-22 23:25:47 | 显示全部楼层
https://doi.org/10.1007/978-981-10-2510-5ous thing, which is nevertheless not completely trivial to prove (Section 3.2.2). The second property is the conservativity of extensional type theory over intensional type theory with extensional constructs (Section 3.2.5). These two properties constitute the major justification for the use of intensional type theory with extensional constructs.
发表于 2025-3-23 04:24:02 | 显示全部楼层
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