This paper presents a technique for the resolution of alternating disjunctive/conjunctive boolean equation systems. The technique can be used to solve various verification problems on finite-state concurrent systems, by encoding the problems as boolean equation systems and determining their local solutions. The main contribution of this paper is that a recent resolution technique from  for disjunctive/conjunctive boolean equation systems is extended to the more general disjunctive/conjunctive forms with alternation. Our technique has the time complexity O(m+n 2), where m is the number of alternation free variables occurring in the equation system and n the number of alternating variables. We found that many µ-calculus formulas with alternating fixed points occurring in the literature can be encoded as boolean equation systems of disjunctive/conjunctive forms. Practical experiments show that we can verify alternating formulas on state spaces that are orders of magnitudes larger than reported up till now.
|Title of host publication
|Tools and Algorithms for the Construction and Analysis of Systems (Proceedings TACAS 2004, Part of ETAPS 2004, Barcelona, Spain, March 29-April 2, 2004)
|K. Jensen, A. Podelski
|Place of Publication
|Number of pages
|Published - 2004
|Lecture Notes in Computer Science