Detail výsledku
An Infinite Hierarchy of Language Families Resulting from Stateless Pushdown Automata with Limited Pushdown Alphabets
Vrábel Lukáš, Ing., FIT (FIT), UIFS (FIT)
Zemek Petr, Ing., Ph.D., FIT (FIT), UIFS (FIT)
As its name suggests, a stateless pushdown automaton has no states. As a result, each of its computational steps depends only on the currently scanned symbol and the current pushdown-store top. In this paper, we consider stateless pushdown automata whose size of their pushdown alphabet is limited by a positive integer. More specifically, we establish an infinite hierarchy of language families resulting from stateless pushdown automata with limited pushdown alphabets. In addition, we prove analogous results for stateless deterministic pushdown automata and stateless real-time pushdown automata. A formulation of an open problem closes the paper.
stateless pushdown automata, limited pushdown alphabets, generative power, infinite hierarchy of language families
@inproceedings{BUT96942,
author="Alexandr {Meduna} and Lukáš {Vrábel} and Petr {Zemek}",
title="An Infinite Hierarchy of Language Families Resulting from Stateless Pushdown Automata with Limited Pushdown Alphabets",
booktitle="DCFS'12: 14th International Workshop on Descriptional Complexity of Formal Systems",
year="2012",
series="Lecture Notes in Computer Science",
journal="Lecture Notes in Computer Science",
volume="7386",
pages="236--243",
publisher="Springer Verlag",
address="Braga",
doi="10.1007/978-3-642-31623-4\{_}18",
isbn="978-3-642-31622-7",
issn="0302-9743",
url="http://www.springerlink.com/content/071345778vgw67tm/"
}
Matematické základy teorie formálních jazyků, MŠMT, Fond rozvoje vysokých škol (FRVŠ), FR271/2012/G1, zahájení: 2012-01-01, ukončení: 2012-12-31, ukončen
Pokročilé rozpoznávání a prezentace multimediálních dat, VUT, Vnitřní projekty VUT, FIT-S-11-2, zahájení: 2011-01-01, ukončení: 2013-12-31, ukončen
Výzkum informačních technologií z hlediska bezpečnosti, MŠMT, Institucionální prostředky SR ČR (např. VZ, VC), MSM0021630528, zahájení: 2007-01-01, ukončení: 2013-12-31, řešení