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by A. Finkel, G. Sutre, Ecole Normale, Suprieure Cachan, Alain Finkel, S. Purushothaman Iyer, S. Purushothaman Iyer
http://www.lsv.ens-cachan.fr/Publis/RAPPORTS_LSV/rr-lsv-2000-6.rr.ps
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Abstract:

Formal methods based on symbolic representations have been found to be very effective. In the case of infinite state systems, there has been a great deal of interest in accelerations-- a technique for characterizing the result of iterating an execution sequence an arbitrary number of times, in a sound, but not necessarily complete, way. We propose the use of abstractions as a general framework to design accelerations. We investigate SemiLinear Regular Expressions (SLREs) as symbolic representations for FIFO automata. In particular, we show that (a) SLREs are easy to manipulate, (b) SLREs form the core of known FIFO symbolic representations, and (c) SLREs are sufficient to represent the effect of arbitrary iteration of a loop for FIFO automata with one channel.

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