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Author Hirst, Tirza ♦ Harel, David
Source ACM Digital Library
Content type Text
Publisher Association for Computing Machinery (ACM)
File Format PDF
Copyright Year ©1994
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Subject Keyword Cooperative concurrency ♦ Pushdown automata ♦ Succinctness
Abstract This is the second in a series of papers on the inherent power of bounded cooperative concurrency, whereby an automaton can be in some bounded number of states that cooperate in accepting the input. In this paper, we consider pushdown automata. We are interested in differences in power of expression and in exponential (or higher) discrepancies in succinctness between variants of pda's that incorporate nondeterminism (E), pure parallelism (A), and bounded cooperative concurrency (C). Technically, the results are proved for cooperating push-down automata with cooperating states, but they hold for appropriate versions of most concurrent models of computation. We exhibit exhaustive sets of upper and lower bounds on the relative succinctness of these features for three classes of languages: deterministic context-free, regular, and finite. For example, we show that C represents exponential savings in succinctness in all cases except when both E and A are present (i.e., except for alternating automata), and that E and A represent $\textit{unlimited}$ savings in succinctness in all cases.
ISSN 00045411
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG
Learning Resource Type Article
Publisher Date 1994-05-01
Publisher Place New York
e-ISSN 1557735X
Journal Journal of the ACM (JACM)
Volume Number 41
Issue Number 3
Page Count 15
Starting Page 540
Ending Page 554


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Source: ACM Digital Library