Centralized Versions of Jumping Finite Automata

Centralized Versions of Jumping Finite Automata

Kapitola, resp. kapitoly v odborné knize

The present paper introduces centralized versions of jumping finite automata and gives the principal reason for their introduction in terms of today's discontinuous computation in practice. In essence, a centralized version, C, works just like the original uncentralized version of these automata except that C contains a special central symbol, #, whose single occurrence is always inserted into an input word, ww. C performs a jump in such a way that it replaces a subword containing # with one #. If, by making a sequence of jumps in this centralized way, it eventually wipes outall ww with # as the only symbol unerased, C accepts ww; the set of all accepted words in this way is the language of C. This paper shows that the language family resulting from these centralized versions coincides with that of linear languages. In addition, this paper defines several special cases of these centralized versions and demonstrates their equivalences to special cases of linear grammars, such as minimal and even linear grammars. Consequently, in terms of the language theory, all the variety of centralized jumping finite automata can be seen as automaton-based counterparts to linear grammars and their special cases.

The present paper introduces centralized versions of jumping finite automata and gives the principal reason for their introduction in terms of today's discontinuous computation in practice. In essence, a centralized version, C, works just like the original uncentralized version of these automata except that C contains a special central symbol, #, whose single occurrence is always inserted into an input word, ww. C performs a jump in such a way that it replaces a subword containing # with one #. If, by making a sequence of jumps in this centralized way, it eventually wipes outall ww with # as the only symbol unerased, C accepts ww; the set of all accepted words in this way is the language of C. This paper shows that the language family resulting from these centralized versions coincides with that of linear languages. In addition, this paper defines several special cases of these centralized versions and demonstrates their equivalences to special cases of linear grammars, such as minimal and even linear grammars. Consequently, in terms of the language theory, all the variety of centralized jumping finite automata can be seen as automaton-based counterparts to linear grammars and their special cases.

Discontinuous computation, Jumping finite automata, Centralized versions, Linear grammars and languages, Special cases, Identities between language families

Discontinuous computation, Jumping finite automata, Centralized versions, Linear grammars and languages, Special cases, Identities between language families

MEDUNA, A.; FOLTÝN, Z.

02.07.2025

Springer Nature Switzerland AG

Cham

978-3-031-97274-4

Languages of Cooperation and Communication: Erzsébeth Csuhaj-Varjú Festschrift

Lecture Notes in Computer Science

0302-9743

Lecture Notes in Computer Science

Spolková republika Německo

69

84

16

https://link.springer.com/book/10.1007/978-3-031-97274-4