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LetLϕ,λ = {ω ∈ Σ∗| ϕ(ω) >λ} be thelanguage recognized by a formal seriesϕ:Σ∗ → ℝ with isolated cut pointλ. We provide new conditions that guarantee the regularity of thelanguage Lϕ,λ in the case thatϕ is rational or ϕ is a Hadamard quotient of rationalseries. Moreover the decidability property of such conditions is investigated.
We prove that a word of length n from a finitely
ambiguous context-free language can be generated at random under
uniform distribution in O(n2 log n) time by a probabilistic random access machine assuming a logarithmic cost criterion.
We also show that the same problem can be solved in polynomial
time for every language accepted by a polynomial time 1-NAuxPDA
with polynomially bounded ambiguity.
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