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  • We develop approximate counting of sets definable by Boolean circuits in bounded arithmetic using the dual weak pigeonhole principle (dWPHP(PV)), as a generalization of results from [15]. We discuss applications to formalization of randomized complexity classes ( such as BPP, APP, MA, AM) in PV1 + dWPHP(PV).
  • We develop approximate counting of sets definable by Boolean circuits in bounded arithmetic using the dual weak pigeonhole principle (dWPHP(PV)), as a generalization of results from [15]. We discuss applications to formalization of randomized complexity classes ( such as BPP, APP, MA, AM) in PV1 + dWPHP(PV). (en)
  • Rozpracujeme v omezené aritmetice aproximaci velikostí množin definovatelných booleovskými obvody pomocí duálního slabého principu PHP. Uvedeme aplikace pro formalizování pravděpodobnostních algoritmů v omezené aritmetice. (cs)
Title
  • Approximate counting in bounded arithmetic
  • Approximate counting in bounded arithmetic (en)
  • Aproximativní počítání v omezené aritmetice (cs)
skos:prefLabel
  • Approximate counting in bounded arithmetic
  • Approximate counting in bounded arithmetic (en)
  • Aproximativní počítání v omezené aritmetice (cs)
skos:notation
  • RIV/67985840:_____/07:00090491!RIV08-AV0-67985840
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  • 959;993
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  • P(1M0545), P(IAA1019401), Z(AV0Z10190503)
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  • 3
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  • 410598
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  • RIV/67985840:_____/07:00090491
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  • bounded arithmetic; weak pigeonhole principle; approximate counting (en)
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  • US - Spojené státy americké
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  • [30FB565F209C]
http://linked.open...i/riv/nazevZdroje
  • Journal of Symbolic Logic
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  • 72
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  • Jeřábek, Emil
http://linked.open...n/vavai/riv/zamer
issn
  • 0022-4812
number of pages
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