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arXiv · 2005.04042

Computational Complexity of Synchronization under Regular Commutative Constraints

Stefan Hoffmann
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Abstract

Here we study the computational complexity of the constrained synchronization problem for the class of regular commutative constraint languages. Utilizing a vector representation of regular commutative constraint languages, we give a full classification of the computational complexity of the constraint synchronization problem. Depending on the constraint language, our problem becomes PSPACE-complete, NP-complete or polynomial time solvable. In addition, we derive a polynomial time decision procedure for the complexity of the constraint synchronization problem, given some constraint automaton accepting a commutative language as input.

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Stefan Hoffmann. 2020-09-02. Computational Complexity of Synchronization under Regular Commutative Constraints. https://doi.org/10.1007/978-3-030-58150-3_37

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