𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Locally testable languages

✍ Scribed by Yechezkel Zalcstein


Publisher
Elsevier Science
Year
1972
Tongue
English
Weight
877 KB
Volume
6
Category
Article
ISSN
0022-0000

No coin nor oath required. For personal study only.

✦ Synopsis


This paper studies the locally testable languages (or "events") introduced by McNaughton and Papert. We characterize these languages by means of their syntactic semigroups and obtain wreath product and direct product decompositions for these semigroups. As a by-product of our study, we find an algebraic characterization of A. Ginzburg's generalized definite languages.


πŸ“œ SIMILAR VOLUMES


Bilateral locally testable languages
✍ Pedro GarcΔ±́a; JosΓ© Ruiz; Manuel Vazquez de Parga πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 218 KB

We give an algebraic characterization of a new variety of languages that will be called bilateral locally testable languages and denoted as BLT. Given k ΒΏ 0, the membership of a word x to a BLT (k-BT) language can be decided by means of exploring the segments of length k of x, as well as considering

Families of locally testable languages
✍ Pascal Caron πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 177 KB

## Kim, McNaughton and McCloskey have produced a polynomial time algorithm in order to test if a deterministic automaton recognizes a locally testable language. We provide a characterization in terms of automata for the strictly locally testable languages and for the strongly locally testable lang

Right and left locally testable language
✍ Pedro Garcı́a; JosΓ© Ruiz πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 127 KB

The aim of this paper is to give a deΓΏnition as well as an algebraic characterization of two new varieties of languages that will be referred to as right (respectively left) locally testable languages and denoted as RLT (resp. LLT). Both families strictly contain the class of locally testable langua

Splicing representations of strictly loc
✍ Tom Head πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 711 KB

The relationship between the family SH of simple splicing languages, which was recently introduced by Mateescu et al. and the family X7' of strictly locally testable languages is clarified by establishing an ascending hierarchy of families {SiH: i > -1) of splicing languages for which SH = SI H and

A proof of Simon's theorem on piecewise
✍ Peter M. Higgins πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 587 KB

We give a new proof of the Theorem of I. Simon that a language is piecewise testable if and only if it is recognized by a finite F-trivial monoid. Our proof is based on representations by certain types of decreasing mappings.