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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2016

2016

- Norihiro Yamada
- ArXiv
- 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

- Peter Dybjer
- Epistemology versus Ontology
- 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

- Bernardo Toninho, Luís Caires, Frank Pfenning
- PPDP
- 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

- Silvio Valentini
- Theor. Comput. Sci.
- 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

- Peter Dybjer
- J. Symb. Log.
- 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

- Silvio Valentini
- Math. Log. Q.
- 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

- Peter Dybjer
- TYPES
- 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

- Lawrence C. Paulson
- J. Symb. Comput.
- 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

- Brad Seely, John Abbott
- 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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