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arxiv: 1506.07774 · v1 · pith:B3GJJ75Xnew · submitted 2015-06-25 · 💻 cs.FL · cs.LO

Tightening the Complexity of Equivalence Problems for Commutative Grammars

classification 💻 cs.FL cs.LO
keywords equivalencecommutativegrammarslanguagelowerproblemsadditionautomata
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We show that the language equivalence problem for regular and context-free commutative grammars is coNEXP-complete. In addition, our lower bound immediately yields further coNEXP-completeness results for equivalence problems for communication-free Petri nets and reversal-bounded counter automata. Moreover, we improve both lower and upper bounds for language equivalence for exponent-sensitive commutative grammars.

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