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  • Restricted branching programs are considered in complexity theory in order to study the space complexity of sequential computations and in applications as a data structure for Boolean functions. In this paper (parity,k)-branching programs and (disjunction,k)-branching programs are considered, i.e., branching programs starting with a parity- (disjunction-)node with a fan-out of k whose successors are k read-once branching programs. This model is motivated by the investigation of the power of nondeterminism in branching programs and of similar variants that have been considered as a data structure. Lower bound methods and hierarchy results for polynomial size (parity,k)- and (disjunction,k)-branching programs with respect to k are presented.
  • Restricted branching programs are considered in complexity theory in order to study the space complexity of sequential computations and in applications as a data structure for Boolean functions. In this paper (parity,k)-branching programs and (disjunction,k)-branching programs are considered, i.e., branching programs starting with a parity- (disjunction-)node with a fan-out of k whose successors are k read-once branching programs. This model is motivated by the investigation of the power of nondeterminism in branching programs and of similar variants that have been considered as a data structure. Lower bound methods and hierarchy results for polynomial size (parity,k)- and (disjunction,k)-branching programs with respect to k are presented. (en)
  • Omezené rozhodovací diagramy jsou ve výpočtové složitosti zkoumány s cílem zkoumat prostorovou složitost sekvenčních výpočtů a v aplikacích jako datová struktura pro reprezentci Booleovských funkcí. V tomto článku jsou zkoumány (parity,k)-rozhodovací diagramy a (disjunktion,k)-rozhodovací diagramy, tj. rozhodovací diagramy začínající paritním nebo disjunktivním uzlem stupně k, jehož následníci jsou tvořeny k read-once rozhodovacími diagramy. Tento model je motivován studiem síly nedeterminismu v rozhodovacích diagramech jak z hlediska výpočtové složitosti tak z hlediska datových struktur. Jsou prezentovány metody pro dolní odhady a výsledek o hierarchii polynomiálně velkých (parity,k)-rozhodovacích diagramů a (disjunktion,k)-rozhodovacích diagramů vzhledem k parametru k. (cs)
Title
  • A Hierarchy Result for Read-Once Branching Programs with Restricted Parity Nondeterminism
  • Výsledek o hierarchii pro read-once rozhodovací diagramy s omezeným nedeterminismem paritního typu (cs)
  • A Hierarchy Result for Read-Once Branching Programs with Restricted Parity Nondeterminism (en)
skos:prefLabel
  • A Hierarchy Result for Read-Once Branching Programs with Restricted Parity Nondeterminism
  • Výsledek o hierarchii pro read-once rozhodovací diagramy s omezeným nedeterminismem paritního typu (cs)
  • A Hierarchy Result for Read-Once Branching Programs with Restricted Parity Nondeterminism (en)
skos:notation
  • RIV/67985807:_____/05:00405528!RIV06-AV0-67985807
http://linked.open.../vavai/riv/strany
  • 594;605
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  • P(LN00A056), Z(AV0Z10300504)
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  • 510865
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  • RIV/67985807:_____/05:00405528
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  • read-once branching programs; restricted parity nondeterminism; lower bounds on complexity; hierarchy (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [76EA96745C8D]
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  • Theoretical Computer Science
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http://linked.open...v/svazekPeriodika
  • 340
http://linked.open...iv/tvurceVysledku
  • Savický, Petr
  • Sieling, D.
http://linked.open...n/vavai/riv/zamer
issn
  • 0304-3975
number of pages
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