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Dense counter machines and verification problems, in
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| Venue: | CAV, LNCS |
| Citations: | 3 - 0 self |
BibTeX
@ARTICLE{Xie_densecounter,
author = {Gaoyan Xie and Zhe Dang and Oscar H. Ibarra and Pierluigi San Pietro},
title = {Dense counter machines and verification problems, in},
journal = {CAV, LNCS},
year = {},
pages = {93--105}
}
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Abstract
Abstract. We generalize the traditional definition of a multicounter machine (where the counters, which can only assume nonnegative integer values, can be incremented/decremented by 1 and tested for zero) by allowing the machine the additional ability to increment/decrement the counters by a nondeterministically chosen fractional amount between 0 and 1 (the may be different at each step). We show that, under some restrictions on counter behavior, the binary reachability set of such a machine is definable in the additive theory of the reals and integers. There are applications of this result in verification, and we give one example in the paper. We also extend the notion of “semilinear language” to “dense semilinear language ” and show its connection to a restricted class of dense multicounter automata.
