Abstract

We introduce a topology on a language L ⊂ X ∞, called subword topology, which reflects certain interesting properties of subwords in a language. Well-known topological concepts such as compactness, closure of a language and closed sets reflect certain characteristic properties of subwords. The concept of adherence of a language (Nivat, 1979) is generalized to that of subword adherence and comparison is made with other limiting processes. The study of closed sets throws further light on Ehrenfeucht's Conjecture (Choffrut and Culik II, 1984) on unavoidable sets and generalizes it.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.