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Proving Correctness of Logically Decorated Graph Rewriting Systems

Brenas, Jon Haël and Echahed, Rachid and Strecker, Martin Proving Correctness of Logically Decorated Graph Rewriting Systems. (2016) In: 1st International Conference on Formal Structures for Computation and Deduction (FSCD 2016), 22 June 2016 - 26 June 2016 (Porto, Portugal).

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Official URL: https://doi.org/10.4230/LIPIcs.FSCD.2016.14

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.

Item Type:Conference or Workshop Item (Paper)
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
Other partners > Université Grenoble Alpes - UGA (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
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Deposited By: IRIT IRIT
Deposited On:08 Mar 2019 14:27

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