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» A type system for well-founded recursion
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CORR
2008
Springer
94views Education» more  CORR 2008»
13 years 6 months ago
Semi-continuous Sized Types and Termination
A type-based approach to termination uses sized types: an ordinal bound for the size of a data structure is stored in its type. A recursive function over a sized type is accepted i...
Andreas Abel
BIRTHDAY
2010
Springer
13 years 7 months ago
Programming Inductive Proofs - A New Approach Based on Contextual Types
In this paper, we present an overview to programming with proofs in the reasoning framework, Beluga. Beluga supports the specification of formal systems given by axioms and inferen...
Brigitte Pientka
HOA
1993
13 years 11 months ago
Strong Normalization of Typeable Rewrite Systems
This paper studies termination properties of rewrite systems that are typeable using intersection types. It introduces a notion of partial type assignment on Curryfied Term Rewri...
Steffen van Bakel, Maribel Fernández
POPL
2010
ACM
14 years 5 months ago
Nominal System T
This paper introduces a new recursion principle for inductive data modulo -equivalence of bound names. It makes use of Oderskystyle local names when recursing over bound names. It...
Andrew M. Pitts
CSL
2001
Springer
14 years 4 days ago
Markov's Principle for Propositional Type Theory
Abstract. In this paper we show how to extend a constructive type theory with a principle that captures the spirit of Markov’s principle from constructive recursive mathematics. ...
Alexei Kopylov, Aleksey Nogin