학술논문

Languages convex with respect to binary relations, and their closure properties.
Document Type
Journal
Author
Ang, Thomas (3-WTRL-SC) AMS Author Profile; Brzozowski, Janusz (3-WTRL-SC) AMS Author Profile
Source
Acta Cybernetica (Acta Cybernet.) (20090101), 19, no.~2, 445-464. ISSN: 0324-721X (print).eISSN: 2676-993X.
Subject
68 Computer science -- 68Q Theory of computing
  68Q45 Formal languages and automata
Language
English
Abstract
A language $L$ is called prefix-convex if the fact that $w,u\in L$ with $u$ a prefix of $w$ implies that $v\in L$ for any prefix $v$ of $w$ such that $u$ is a prefix of $v$. In the work under review, the authors introduce in a quite similar manner suffix-convex, bifix-convex, factor-convex, subword-convex languages, and their closed and free counterparts, and then study the relationships among these languages. Finally they extend the above notions to arbitrary binary relations between words over a given alphabet, and discuss the closure properties of such languages.