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Model Checking Vector Addition Systems with one zero-test

Rémi Bonnet ; Alain FInkel ; Jérôme Leroux ; Marc Zeitoun.

We design a variation of the Karp-Miller algorithm to compute, in a forward manner, a finite representation of the cover (i.e., the downward closure of the reachability set) of a vector addition system with one zero-test. This algorithm yields decision procedures for several problems for these&nbsp;[&hellip;]

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Separation for dot-depth two

Thomas Place ; Marc Zeitoun.

The dot-depth hierarchy of Brzozowski and Cohen classifies the star-free languages of finite words. By a theorem of McNaughton and Papert, these are also the first-order definable languages. The dot-depth rose to prominence following the work of Thomas, who proved an exact correspondence with the&nbsp;[&hellip;]

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