Axiomatizing Omega and Omega-op Powers of Words

Forfattere

  • Stephen L. Bloom
  • Zoltán Ésik

DOI:

https://doi.org/10.7146/brics.v9i41.21756

Resumé

In 1978, Courcelle asked for a complete set of axioms and rules for the equational theory of (discrete regular) words equipped with the operations of product, omega power and omega-op power. In this paper we find a simple set of equations and prove they are complete. Moreover, we show that the equational theory is decidable in polynomial time.

Downloads

Publiceret

2002-10-05

Citation/Eksport

Bloom, S. L., & Ésik, Z. (2002). Axiomatizing Omega and Omega-op Powers of Words. BRICS Report Series, 9(41). https://doi.org/10.7146/brics.v9i41.21756

Nummer

Nr. 41 (2002): RS-41 Axiomatizing Omega and Omega-op Powers of Words

Sektion

Artikler

Licens

Authors who publish with this journal agree to the following terms:

    1. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.

    1. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.

  1. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).