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Transition complexity of language operations

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cs.FL 1

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2026 1

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Intersecting Dense Automata

cs.FL · 2026-05-19 · unverdicted · novelty 7.0

New constructions intersect k NFAs in O(m n^{k-1}) transitions for fixed alphabet, enabling faster emptiness algorithms that are optimal unless (k+1)-clique detection admits a combinatorial breakthrough.

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  • Intersecting Dense Automata cs.FL · 2026-05-19 · unverdicted · none · ref 14

    New constructions intersect k NFAs in O(m n^{k-1}) transitions for fixed alphabet, enabling faster emptiness algorithms that are optimal unless (k+1)-clique detection admits a combinatorial breakthrough.