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Computer Science > Logic in Computer Science

arXiv:1012.4898v1 (cs)
[Submitted on 22 Dec 2010]

Title:Beating the Productivity Checker Using Embedded Languages

Authors:Nils Anders Danielsson (University of Nottingham)
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Abstract:Some total languages, like Agda and Coq, allow the use of guarded corecursion to construct infinite values and proofs. Guarded corecursion is a form of recursion in which arbitrary recursive calls are allowed, as long as they are guarded by a coinductive constructor. Guardedness ensures that programs are productive, i.e. that every finite prefix of an infinite value can be computed in finite time. However, many productive programs are not guarded, and it can be nontrivial to put them in guarded form.
This paper gives a method for turning a productive program into a guarded program. The method amounts to defining a problem-specific language as a data type, writing the program in the problem-specific language, and writing a guarded interpreter for this language.
Comments: In Proceedings PAR 2010, arXiv:1012.4555
Subjects: Logic in Computer Science (cs.LO); Programming Languages (cs.PL)
Cite as: arXiv:1012.4898 [cs.LO]
  (or arXiv:1012.4898v1 [cs.LO] for this version)
  https://doi.org/10.48550/arXiv.1012.4898
Journal reference: EPTCS 43, 2010, pp. 29-48
Related DOI: https://doi.org/10.4204/EPTCS.43.3

Submission history

From: EPTCS [view email] [via EPTCS proxy]
[v1] Wed, 22 Dec 2010 07:09:30 UTC (282 KB)
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