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Computer Science > Programming Languages

arXiv:0808.0586 (cs)
[Submitted on 5 Aug 2008]

Title:Coinductive big-step operational semantics

Authors:Xavier Leroy (INRIA Rocquencourt), Hervé Grall (INRIA Rennes, LINA)
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Abstract: Using a call-by-value functional language as an example, this article illustrates the use of coinductive definitions and proofs in big-step operational semantics, enabling it to describe diverging evaluations in addition to terminating evaluations. We formalize the connections between the coinductive big-step semantics and the standard small-step semantics, proving that both semantics are equivalent. We then study the use of coinductive big-step semantics in proofs of type soundness and proofs of semantic preservation for compilers. A methodological originality of this paper is that all results have been proved using the Coq proof assistant. We explain the proof-theoretic presentation of coinductive definitions and proofs offered by Coq, and show that it facilitates the discovery and the presentation of the results.
Subjects: Programming Languages (cs.PL)
Cite as: arXiv:0808.0586 [cs.PL]
  (or arXiv:0808.0586v1 [cs.PL] for this version)
  https://doi.org/10.48550/arXiv.0808.0586
Journal reference: Information and Computation (2007)

Submission history

From: Xavier Leroy [view email] [via CCSD proxy]
[v1] Tue, 5 Aug 2008 14:47:32 UTC (45 KB)
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