Axiomatizing the identities of binoid languages

  • Authors:
  • Igor Dolinka

  • Affiliations:
  • Department of Mathematics and Informatics, University of Novi Sad, Trg Dositeja Obradovia 4, 21000 Novi Sad, Serbia

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2007

Quantified Score

Hi-index 5.24

Visualization

Abstract

We present a nontrivial axiomatization for the equational theory of binoid languages, the subsets of a free binoid. In doing so, we prove that a conjecture given in our previous paper was true: the identical laws of ordinary (string) languages, written separately using 'horizontal' and 'vertical' operation symbols form a required complete system of axioms.