Topological properties of forbidding-enforcing systems

  • Authors:
  • Daniela Genova;Nataša Jonoska

  • Affiliations:
  • Department of Mathematics, University of South Florida, Tampa, FL;Department of Mathematics, University of South Florida, Tampa, FL

  • Venue:
  • Journal of Automata, Languages and Combinatorics
  • Year:
  • 2006

Quantified Score

Hi-index 0.00

Visualization

Abstract

Forbidding-enforcing systems (fe-systems) define classes of languages (fe-families) based on boundary conditions. We characterize f-families having not necessarily finite forbidders and prove that none of the Chomsky families of languages can be defined with an fe-system, hence, fe-systems provide a completely new way of defining classes of languages. We show that f-families map to f-families by morphic maps if and only if the morphism maps symbol to symbol. A morphism mapping e-families to e-families is necessarily surjective.