|Author||Drusinsky, Doron ♦ Harel, David|
|Source||ACM Digital Library|
|Publisher||Association for Computing Machinery (ACM)|
|Subject Domain (in DDC)||Computer science, information & general works ♦ Data processing & computer science|
|Subject Keyword||Alternation ♦ Bounded cooperative concurrency ♦ Finite automata ♦ Nondeterminism ♦ Omega-automata ♦ Statecharts ♦ Succinctness|
|Abstract||We investigate the descriptive succinctness of three fundamental notions for modeling concurrency: nondeterminism and pure parallelism, the two facets of alternation, and bounded cooperative concurrency, whereby a system configuration consists of a bounded number of cooperating states. Our results are couched in the general framework of finite-state automata, but hold for appropriate versions of most concurrent models of computation, such as Petri nets, statecharts or finite-state versions of concurrent programming languages. We exhibit exhaustive sets of upper and lower bounds on the relative succinctness of these features over &Sgr;* and &Sgr;ω, establishing that:(1) Each of the three features represents an exponential saving in succinctness of the representation, in a manner that is independent of the other two and additive with respect to them.(2) Of the three, bounded concurrency is the strongest, representing a similar exponential saving even when substituted for each of the others.For example, we prove exponential upper and lower bounds on the simulation of deterministic concurrent automata by AFAs, and triple-exponential bounds on the simulation of alternating concurrent automata by DFAs.|
|Age Range||18 to 22 years ♦ above 22 year|
|Education Level||UG and PG|
|Learning Resource Type||Article|
|Publisher Place||New York|
|Journal||Journal of the ACM (JACM)|
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