In type theory, a system has inductive types if it has facilities for creating a new type along with constants and functions that create terms of… (More)

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2017

2017

- Henning Basold, Herman Geuvers, Niels van der Weide
- J. UCS
- 2017

We propose general rules for higher inductive types with non-dependent and dependent elimination rules. These can be used to give… (More)

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2015

2015

- Kristina Sojakova
- POPL
- 2015

Homotopy Type Theory is a new field of mathematics based on the recently-discovered correspondence between Martin-Löf's… (More)

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2012

2012

- Steven Awodey, Nicola Gambino, Kristina Sojakova
- 2012 27th Annual IEEE Symposium on Logic in…
- 2012

Homotopy type theory is an interpretation of Martin-LÃ¶f's constructive type theory into abstract homotopy theory. There results… (More)

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2006

2006

- Freiric Barral, Sergei Soloviev
- CSR
- 2006

Parametric inductive types can be seen as functions taking type parameters as argument and returning the instantiated inductive… (More)

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2002

2002

- Frédéric Blanqui, Jean-Pierre Jouannaud, Mitsuhiro Okada
- Theor. Comput. Sci.
- 2002

In a previous work (“Abstract Data Type Systems”, TCS 173(2), 1997), the last two authors presented a combined language made of a… (More)

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Highly Cited

2001

Highly Cited

2001

We present a large and we think also significant case-study in computer assisted formal reasoning. We start by giving a higher… (More)

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1999

Highly Cited

1999

- Martin Hofmann
- LICS
- 1999

We propose a linear type system with recursion operators for inductive datatypes which ensures that all definable functions are… (More)

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1997

1997

- Nick D Read, Lesley J. Kellock, Tony J. Collins, Alan M. Gundlach
- Planta
- 1997

Over 90% of the germ tubes of Puccinia graminis tritici (wheat stem rust) and Puccinia hordei (barley brown rust) differentiate… (More)

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1996

Highly Cited

1996

- Olivier Danvy
- Partial Evaluation
- 1996

We present a strikingly simple partial evaluator, that is type-directed and reifies a compiled program into the text of a… (More)

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1994

Highly Cited

1994

- Lawrence C. Paulson
- CADE
- 1994

1 I n t r o d u c t i o n Several theorem provers provide commands for formalizing recursive data structures, like lists and… (More)

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