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Induction-recursion
Papers overview
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2013
2013
There are several different approaches to the theory of data types. At the simplest level, polynomials and containers give a…
2012
2012
This article describes two stages of a study carried out with pre-university students, to gather information about the learning…
2012
2012
Dependently typed programming languages allow sophisticated properties of data to be expressed within the type system. Of…
Review
2011
Review
2011
Programming languages based on dependent type theory promise two great advances: flexibility and security. With the type-level…
2010
2010
ML5 is a programming language for spatially distributed computing, based on a Curry-Howard correspondence with the modal logic S5…
2007
2007
We address the problem of representing mathematical structures in a proof assistant which: 1) is based on a type theory with…
2006
2006
Abstract An indexed inductive definition (IID) is a simultaneous inductive definition of an indexed family of sets. An inductive…
Highly Cited
2006
Highly Cited
2006
We present a practical tool for defining and proving properties of recursive functions in the Coq proof assistant. The tool…
Highly Cited
2003
Highly Cited
2003
Induction-recursion is a powerful definition method in intuitionistic type theory. It extends (generalized) inductive definitions…
2001
2001
We give two finite axiomatizations of indexed inductive-recursive definitions in intuitionistic type theory. They extend our…