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A substantially large class of programs operate in distributed and real-time environments, and an integral part of their correctness specification requires the expression of time-critical properties that relate the occurrence of events of the system. We focus on the formal specification and reasoning about the correctness of such programs. We popose a system of temporal logic, RTCTL (Real-Time Computation...
The use of symmetry to alleviate state-explosion problems during model-checking has become a important research topic. This paper investigates several problems which are important to techniques exploiting symmetry. The most important of these problems is the orbit problem. We prove that the orbit problem is equivalent to an important problem in computational group theory which is at least as hard...
In this paper we considered two different fragments of μ-calculus, logics L1 and L2. We gave model checking algorithms for logics L1 and L2 which are of complexity O(m2n) where m is the length of the formula and n is the size of the structure. We have shown that the logic L2 is as expressive as ECTL* given in [13]. In additions...
One useful technique for combating the state explosion problem is to exploit symmetry [ID93, CFJ93, ES93] when performing temporal logic model checking [CE81, CES86]. In [CFJ93] [ES93] it is shown how, using some basic notions of group theory, symmetry may be exploited for the full range of correctness properties expressible in the very expressive temporal logic CTL*. Surprisingly, while fairness...