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An extension of data automata that captures XPath

Mikołaj Bojańczyk ; Sławomir Lasota.
We define a new kind of automata recognizing properties of data words or data trees and prove that the automata capture all queries definable in Regular XPath. We show that the automata-theoretic approach may be applied to answer decidability and expressibility questions for XPath.
Published on February 16, 2012

Automata theory in nominal sets

Mikołaj Bojańczyk ; Bartek Klin ; Sławomir Lasota.
We study languages over infinite alphabets equipped with some structure that can be tested by recognizing automata. We develop a framework for studying such alphabets and the ensuing automata theory, where the key role is played by an automorphism group of the alphabet. In the process, we generalize&nbsp;[&hellip;]
Published on August 15, 2014

Simulation Problems Over One-Counter Nets

Piotr Hofman ; Slawomir Lasota ; Richard Mayr ; Patrick Totzke.
One-counter nets (OCN) are finite automata equipped with a counter that can store non-negative integer values, and that cannot be tested for zero. Equivalently, these are exactly 1-dimensional vector addition systems with states. We show that both strong and weak simulation preorder on OCN are&nbsp;[&hellip;]
Published on March 14, 2016

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