Regularity and Finiteness Conditions

  • Aldo de Luca
  • Stefano Varricchio


The aim of this chapter is to present some recent research work in the combinatorial aspects of the theory of semigroups which are of great interest both for Algebra and Theoretical Computer Science. This research mainly concerns that part of combinatorics of finite and infinite words over a finite alphabet, which is usually called the theory of “unavoidable” regularities. The book by Lothaire [77] can be considered an excellent introduction to this theory.


Word Problem Regular Language Finiteness Condition Semi Group Finite Alphabet 
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  • Aldo de Luca
  • Stefano Varricchio

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