The #a = #b Pictures Are Recognizable

  • Authors:
  • Klaus Reinhardt

  • Affiliations:
  • -

  • Venue:
  • STACS '01 Proceedings of the 18th Annual Symposium on Theoretical Aspects of Computer Science
  • Year:
  • 2001

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Abstract

We show that the language of pictures over {a,b} (with a reasonable relation between height and width), where the number of a's is equal to the number of b's, is recognizable using a finite tiling system. This means that counting in rectangular arrays is definable in existential monadic second-order logic.