Intuitionistic type theory

Known as: Equality type, Martin-Loef type theory, Martin-Löf's type theory 
Intuitionistic type theory (also known as constructive type theory, or Martin-Löf type theory) is a type theory and an alternative foundation of… (More)
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Topic mentions per year

1959-2018
02040608019592018

Papers overview

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2016
2016
We present a game semantics for intuitionistic type theory. Specifically, we propose a new variant of games that provides a… (More)
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Review
2015
Review
2015
Intuitionistic Type Theory (also Constructive Type Theory or Martin-Löf Type Theory) is a formal logical system and philosophical… (More)
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2012
2012
The relationship between program testing and Martin-Löf’s meaning explanations for intuitionistic type theory is investigated… (More)
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2011
2011
We develop an interpretation of linear type theory as dependent session types for a term passing extension of the pi-calculus… (More)
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2003
2003
First, we briefly recall the main definitions of the theory of Information Bases and Translations. These mathematical structures… (More)
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Highly Cited
2000
Highly Cited
2000
The rst example of a simultaneous inductive-recursive deenition in intuitionistic type theory is Martin-LL of's universe a la… (More)
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1996
1996
In this paper we show that the usual intuitionistic characterization of the decidability of the propositional function B(x) prop… (More)
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Highly Cited
1995
Highly Cited
1995
We introduce categories with families as a new notion of model for a basic framework of dependent types. This notion is close to… (More)
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1986
1986
Martin-Löf’s Intuitionistic Theory of Types is becoming popular for formal reasoning about computer programs. To handle recursion… (More)
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Highly Cited
1983
Highly Cited
1983
0. Introduction. I t is well known that for much of the mathematics of topos theory, it is in fact sufficient to use a category C… (More)
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