# Induction-recursion

## Papers overview

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2018

2018

- FoSSaCS
- 2018

Higher inductive types (HITs) in Homotopy Type Theory allow the definition of datatypes which have constructors for equalitiesâ€¦Â (More)

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2013

2013

- TLCA
- 2013

There are several different approaches to the theory of data types. At the simplest level, polynomials and containers give aâ€¦Â (More)

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2012

2012

- 2012

There are several different approaches to the theory of data types. At the simplest level, polynomials and containers give aâ€¦Â (More)

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2006

2006

- FLOPS
- 2006

We present a practical tool for defining and proving properties of recursive functions in the Coq proof assistant. The toolâ€¦Â (More)

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2004

2004

- 2004

The family T âˆ— does not depend on the function gâˆ—, because all calls to it have been replaced by f , and is not inductiveâ€¦Â (More)

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2003

2003

- Ann. Pure Appl. Logic
- 2003

Induction-recursion is a powerful definition method in intuitionistic type theory. It extends (generalized) inductive definitionsâ€¦Â (More)

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2002

2002

- TPHOLs
- 2002

We describe the operational and denotational semantics of a small imperative language in type theory with inductive and recursiveâ€¦Â (More)

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2001

2001

- Proof Theory in Computer Science
- 2001

We give two finite axiomatizations of indexed inductive-recursive definitions in intuitionistic type theory. They extend ourâ€¦Â (More)

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Highly Cited

2000

Highly Cited

2000

- J. Symb. Log.
- 2000

The rst example of a simultaneous inductive-recursive deenition in intuitionistic type theory is Martin-LL of's universe a laâ€¦Â (More)

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Highly Cited

1999

Highly Cited

1999

- TLCA
- 1999

Induction-recursion is a schema which formalizes the principles for introducing new sets in Martin-LÃ¶fâ€™s type theory. It statesâ€¦Â (More)

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