About: Systems of Equations over Finite Semigroups and the #CSP Dichotomy Conjecture     Goto   Sponge   NotDistinct   Permalink

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Description
  • We study the complexity of counting the number of solutions to a system of equations over a fixed finite semigroup. We show that this problem is always either in FP or $\#$P-complete and describe the borderline precisely. We use these results to convey some intuition about the conjectured dichotomy for the complexity of counting the number of solutions in constraint satisfaction problems.
  • We study the complexity of counting the number of solutions to a system of equations over a fixed finite semigroup. We show that this problem is always either in FP or $\#$P-complete and describe the borderline precisely. We use these results to convey some intuition about the conjectured dichotomy for the complexity of counting the number of solutions in constraint satisfaction problems. (en)
  • Studujeme složitost problému určení počtu řešení systému rovnic nad pevnou konečnou pologrupou. Ukazujeme, že tento problém vždy buď náleží do třídy FP nebo je #P-úplný. Presně charkterizujeme hranici mezi těmito dvěma možnostmi. Výsledků požíváme k podpoření intuice týkající se hypotézy o dichotomii složitosti problému počítání počtu řešení v problému CSP. (cs)
Title
  • Systems of Equations over Finite Semigroups and the #CSP Dichotomy Conjecture
  • Systémy rovnic nad konečnými pologrupami a hjypotéza dichotomie #CSP (cs)
  • Systems of Equations over Finite Semigroups and the #CSP Dichotomy Conjecture (en)
skos:prefLabel
  • Systems of Equations over Finite Semigroups and the #CSP Dichotomy Conjecture
  • Systémy rovnic nad konečnými pologrupami a hjypotéza dichotomie #CSP (cs)
  • Systems of Equations over Finite Semigroups and the #CSP Dichotomy Conjecture (en)
skos:notation
  • RIV/00216224:14310/06:00017643!RIV08-MSM-14310___
http://linked.open.../vavai/riv/strany
  • 584-595
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(1M0545), Z(MSM0021622409)
http://linked.open...iv/cisloPeriodika
  • 4162
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 502964
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14310/06:00017643
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • systems of equations; semigroups; #CSP problem (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • SK - Slovenská republika
http://linked.open...ontrolniKodProRIV
  • [7F93AAEAA314]
http://linked.open...i/riv/nazevZdroje
  • Mathematical Foundations of Computer Science MFCS 2006, LNCS
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 2006
http://linked.open...iv/tvurceVysledku
  • Klíma, Ondřej
  • Larose, Benoit
  • Tesson, Pascal
http://linked.open...n/vavai/riv/zamer
issn
  • 0302-9743
number of pages
http://localhost/t...ganizacniJednotka
  • 14310
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