State complexity of union and intersection of star on k regular languages

  • Authors:
  • Yuan Gao;Lila Kari;Sheng Yu

  • Affiliations:
  • -;-;-

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2012

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Abstract

In this paper, we continue our study on state complexity of combined operations. We study the state complexities of L"1^*@?L"2^*, @?"i"="1^kL"i^*, L"1^*@?L"2^*, and @?"i"="1^kL"i^* for regular languages L"i, 1@?i@?k. We obtain the exact bounds for these combined operations and show that the bounds are different from the mathematical compositions of the state complexities of their component individual operations.