Technical Reports

The report FIMU-RS-2009-04

Quantitative Model Checking of Systems with Degradation (Full Paper).

by Jiøí Barnat, Ivana Èerná, Jana Tùmová, June 2009, 35 pages.

FIMU-RS-2009-04. Available as Postscript, PDF.

Abstract:

In this paper we describe a rather specialized quality of a system -- the degradation. We demonstrate systems that naturally incorporate degradation phenomenon and we show how these systems can be verified by adapting the standard automatabased approach to LTL model checking. We introduce Büchi Automata with Degradation Constraints (BADCs) to specify the desired properties of systems with degradation and we describe how these can be used for verification. A major obstacle in the verification process is that the synchronous product of the system and the Büchi automaton may be infinite, which we deal with by introducing a normal form of the Büchi automata and normalizing procedure. We also show that the newly introduced formalism can be used to distinguish MDPs indistinguishable by any LTL, PCTL or even PCTL* formula.