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Multi-Focusing on Extensional Rewriting with Sums

Author Gabriel Scherer

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Gabriel Scherer

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Gabriel Scherer. Multi-Focusing on Extensional Rewriting with Sums. In 13th International Conference on Typed Lambda Calculi and Applications (TLCA 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 38, pp. 317-331, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
https://doi.org/10.4230/LIPIcs.TLCA.2015.317

Abstract

We propose a logical justification for the rewriting-based equivalence procedure for simply-typed lambda-terms with sums of Lindley. It relies on maximally multi-focused proofs, a notion of canonical derivations introduced for linear logic. Lindley’s rewriting closely corresponds to preemptive rewriting, a technical device used in the meta-theory of maximal multi-focus.
Keywords
  • Maximal multi-focusing
  • extensional sums
  • rewriting
  • natural deduction

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