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.2016.14
URN: urn:nbn:de:0030-drops-59778
URL: https://drops.dagstuhl.de/opus/volltexte/2016/5977/
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Brenas, Jon Haël ; Echahed, Rachid ; Strecker, Martin

Proving Correctness of Logically Decorated Graph Rewriting Systems

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LIPIcs-FSCD-2016-14.pdf (0.6 MB)

Abstract

We first introduce the notion of logically decorated rewriting systems where the left-hand sides are endowed with logical formulas which help to express positive as well as negative application conditions, in addition to classical pattern-matching. These systems are defined using graph structures and an extension of combinatory propositional
dynamic logic, CPDL, with restricted universal programs, called C2PDL. In a second step, we tackle the problem of proving the correctness of logically decorated graph rewriting systems by using a Hoare-like calculus. We introduce a notion of specification defined as a tuple (Pre, Post, R, S) with Pre and Post being formulas of C2PDL, R a rewriting system and S a rewriting strategy. We provide a sound calculus which infers proof obligations of the considered specifications and establish the decidability of the verification problem of the (partial) correctness of the considered specifications.

BibTeX - Entry

@InProceedings{brenas_et_al:LIPIcs:2016:5977,
  author =	{Jon Ha{\"e}l Brenas and Rachid Echahed and Martin Strecker},
  title =	{{Proving Correctness of Logically Decorated Graph Rewriting Systems}},
  booktitle =	{1st International Conference on Formal Structures for Computation and Deduction (FSCD 2016)},
  pages =	{14:1--14:15},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-010-1},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{52},
  editor =	{Delia Kesner and Brigitte Pientka},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2016/5977},
  URN =		{urn:nbn:de:0030-drops-59778},
  doi =		{10.4230/LIPIcs.FSCD.2016.14},
  annote =	{Keywords: Graph Rewriting, Hoare Logic,Combinatory PDL, Rewrite Strategies, Program Verification}
}

Keywords: Graph Rewriting, Hoare Logic,Combinatory PDL, Rewrite Strategies, Program Verification
Collection: 1st International Conference on Formal Structures for Computation and Deduction (FSCD 2016)
Issue Date: 2016
Date of publication: 17.06.2016

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