An algorithm for recognition of n-collapsing words

نویسنده

  • Ilja V. Petrov
چکیده

A word w over a finite alphabet Σ is n-collapsing if for an arbitrary deterministic finite automaton A = 〈Q,Σ, δ〉, the inequality |δ(Q,w)| ≤ |Q| − n holds provided that |δ(Q, u)| ≤ |Q| − n for some word u ∈ Σ (depending on A ). We prove that the the property of being n-collapsing is algorithmically recognizable for any given positive integer n. We also prove that the language of all n-collapsing words is context-sensitive.

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عنوان ژورنال:
  • Theor. Comput. Sci.

دوره 391  شماره 

صفحات  -

تاریخ انتشار 2008