## Chatzieleftheriou, George and Bonakdarpour, Borzoo and Katsaros, Panagiotis and Smolka, Scott A. - Abstract Model Repair

lmcs:1587 - Logical Methods in Computer Science, September 17, 2015, Volume 11, Issue 3
Abstract Model Repair

Authors: Chatzieleftheriou, George and Bonakdarpour, Borzoo and Katsaros, Panagiotis and Smolka, Scott A.

Given a Kripke structure M and CTL formula $\varphi$, where M does not satisfy $\varphi$, the problem of Model Repair is to obtain a new model M' such that M' satisfies $\varphi$. Moreover, the changes made to M to derive M' should be minimum with respect to all such M'. As in model checking, state explosion can make it virtually impossible to carry out model repair on models with infinite or even large state spaces. In this paper, we present a framework for model repair that uses abstraction refinement to tackle state explosion. Our framework aims to repair Kripke Structure models based on a Kripke Modal Transition System abstraction and a 3-valued semantics for CTL. We introduce an abstract-model-repair algorithm for which we prove soundness and semi-completeness, and we study its complexity class. Moreover, a prototype implementation is presented to illustrate the practical utility of abstract-model-repair on an Automatic Door Opener system model and a model of the Andrew File System 1 protocol.

Source : oai:arXiv.org:1506.06165
DOI : 10.2168/LMCS-11(3:11)2015
Volume: Volume 11, Issue 3
Published on: September 17, 2015
Submitted on: July 2, 2014
Keywords: Computer Science - Logic in Computer Science