Composition sequences for functions over a finite domain

  • Authors:
  • Arto Salomaa

  • Affiliations:
  • Turku Centre for Computer Science, Lemminkäisenkatu 14A, 20520 Turku, Finland

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2003

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Abstract

Diverse problems ranging from many-valued logics to finite automata can be expressed as questions concerning compositions of functions over a finite domain. We develop a theory dealing with the depth and complete depth of such functions. Interconnections with synchronizable finite automata are also discussed. Many of the very basic problems turn out to be NP-hard. Also several open problems are pointed out.