QBF-Based Symbolic Model Checking for Knowledge and Time

For temporal and epistemic property CTLK we propose a new symbolic model checking technique based on Quantified Boolean Formula(QBF). The verification approach is based on an adaption of the technique of bounded model checking. We decide the validity of a CTLK formula ψ in the finite reachable state space of a system, and reduce the validity to a QBF which is satisfiable if and only if ψ is validated. The new technique avoids the space blow up of BDDs, and sometimes speeds up the verification.

[1]  Moshe Y. Vardi.  Branching vs. Linear Time: Final Showdown , 2001, TACAS.

[2]  Wolfgang Lenski,et al.  Logic versus Approximation , 2004, Lecture Notes in Computer Science.

[3]  Wojciech Penczek,et al.  Bounded model checking for knowledge and real time , 2005, AAMAS '05.

[4]  Wojciech Penczek,et al.  Verifying epistemic properties of multi-agent systems via bounded model checking , 2002, AAMAS '03.

[5]  Ronald Fagin,et al.  Reasoning about knowledge , 1995 .

[6]  Rajeev Alur,et al.  A Temporal Logic of Nested Calls and Returns , 2004, TACAS.

[7]  Gerard J. Holzmann,et al.  Design and validation of computer protocols , 1991 .

[8]  Wojciech Penczek,et al.  Bounded Model Checking for Deontic Interpreted Systems , 2005, LCMAS.

[9]  Abdul Sattar,et al.  Bounded model checking knowledge and branching time in synchronous multi-agent systems , 2005, AAMAS '05.

[10]  Moshe Y. Vardi.  Implementing Knowledge-Based Programs , 1996, TARK.

[11]  Gerard J. Holzmann,et al.  The Model Checker SPIN , 1997, IEEE Trans. Software Eng..

[12]  Edmund M. Clarke,et al.  Model Checking , 1999, Handbook of Automated Reasoning.

[13]  Hans Kleine Büning,et al.  On Boolean Models for Quantified Boolean Horn Formulas , 2003, SAT.

[14]  Hans Kleine Büning,et al.  On Models for Quantified Boolean Formulas , 2004, Logic versus Approximation.

[15]  Armin Biere,et al.  Symbolic Model Checking without BDDs , 1999, TACAS.

[16]  Wojciech Penczek,et al.  Bounded Model Checking for knowledge over real time , 2004 .

[17]  Joseph Y. Halpern,et al.  Model Checking vs. Theorem Proving: A Manifesto , 1991, KR.

[18]  Gerard J. Holzmann,et al.  The SPIN Model Checker , 2003 .

[19]  Kenneth L. McMillan,et al.  Symbolic model checking , 1992 .