Recognizable sets of series-parallel graphs admit regular grammar representations whose corresponding finite algebras are singly exponential in grammar size, yielding ExpTime-complete decision procedures for intersection and inclusion.
Then, any reduced monomialmin nf(σ (−1)(m♯ 1)) is obtained from some products r1 1 ·...·s rn1 n1 oc- curring inσ (−1)(m♯ 1)
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Regular Grammars as Effective Representations of Recognizable Sets of Series-Parallel Graphs
Recognizable sets of series-parallel graphs admit regular grammar representations whose corresponding finite algebras are singly exponential in grammar size, yielding ExpTime-complete decision procedures for intersection and inclusion.