License: Creative Commons Attribution 3.0 Unported license (CC-BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.FSCD.2020.29
URN: urn:nbn:de:0030-drops-123515
URL: https://drops.dagstuhl.de/opus/volltexte/2020/12351/
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DeYoung, Henry ; Pfenning, Frank ; Pruiksma, Klaas

Semi-Axiomatic Sequent Calculus

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LIPIcs-FSCD-2020-29.pdf (0.6 MB)


Abstract

We present the semi-axiomatic sequent calculus (SAX) that blends features of Gentzen’s sequent calculus with an axiomatic formulation of intuitionistic logic. We develop and prove a suitable analogue to cut elimination and then show that a natural computational interpretation of SAX provides a simple form of shared memory concurrency.

BibTeX - Entry

@InProceedings{deyoung_et_al:LIPIcs:2020:12351,
  author =	{Henry DeYoung and Frank Pfenning and Klaas Pruiksma},
  title =	{{Semi-Axiomatic Sequent Calculus}},
  booktitle =	{5th International Conference on Formal Structures for Computation and Deduction (FSCD 2020)},
  pages =	{29:1--29:22},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-155-9},
  ISSN =	{1868-8969},
  year =	{2020},
  volume =	{167},
  editor =	{Zena M. Ariola},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2020/12351},
  URN =		{urn:nbn:de:0030-drops-123515},
  doi =		{10.4230/LIPIcs.FSCD.2020.29},
  annote =	{Keywords: Sequent calculus, Curry-Howard isomorphism, shared memory concurrency}
}

Keywords: Sequent calculus, Curry-Howard isomorphism, shared memory concurrency
Collection: 5th International Conference on Formal Structures for Computation and Deduction (FSCD 2020)
Issue Date: 2020
Date of publication: 28.06.2020


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