A Homomorphism Concept for omega-Regularity

Forfattere

  • Nils Klarlund

DOI:

https://doi.org/10.7146/brics.v1i11.21659

Resumé

The Myhill-Nerode Theorem (that for any regular language, there is a canonical recognizing device) is of paramount importance for the computational handling of many formalisms about finite words.

For infinite words, no prior concept of homomorphism or structural comparison seems to have generalized the Myhill-Nerode Theorem in the sense that the concept is both language preserving and representable by automata.

In this paper, we propose such a concept based on Families of Right Congruences (Maler and Staiger 93), which we view as a recognizing structures.

We also establish an exponential lower and upper bound on the change in size when a representation is reduced to its canonical form.

Downloads

Publiceret

1994-05-03

Citation/Eksport

Klarlund, N. (1994). A Homomorphism Concept for omega-Regularity. BRICS Report Series, 1(11). https://doi.org/10.7146/brics.v1i11.21659

Nummer

Nr. 11 (1994): RS-11 A Homomorphism Concept for omega-Regularity

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).