Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
Monotone circuit lower bounds from resolution. / Garg, Ankit; Kamath, Pritish; Göös, Mika; Sokolov, Dmitry.
STOC 2018 - Proceedings of the 50th Annual ACM SIGACT Symposium on Theory of Computing. ред. / Monika Henzinger; David Kempe; Ilias Diakonikolas. Association for Computing Machinery, 2018. стр. 801-814 (Proceedings of the Annual ACM Symposium on Theory of Computing).Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
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TY - GEN
T1 - Monotone circuit lower bounds from resolution
AU - Garg, Ankit
AU - Kamath, Pritish
AU - Göös, Mika
AU - Sokolov, Dmitry
PY - 2018/6/20
Y1 - 2018/6/20
N2 - For any unsatisfiable CNF formula F that is hard to refute in the Resolution proof system, we show that a gadget-composed version of F is hard to refute in any proof system whose lines are computed by efficient communication protocols—or, equivalently, that a monotone function associated with F has large monotone circuit complexity. Our result extends to monotone real circuits, which yields new lower bounds for the Cutting Planes proof system.
AB - For any unsatisfiable CNF formula F that is hard to refute in the Resolution proof system, we show that a gadget-composed version of F is hard to refute in any proof system whose lines are computed by efficient communication protocols—or, equivalently, that a monotone function associated with F has large monotone circuit complexity. Our result extends to monotone real circuits, which yields new lower bounds for the Cutting Planes proof system.
KW - Circuit complexity
KW - Proof complexity
UR - http://www.scopus.com/inward/record.url?scp=85049886695&partnerID=8YFLogxK
U2 - 10.1145/3188745.3188838
DO - 10.1145/3188745.3188838
M3 - Conference contribution
AN - SCOPUS:85049886695
T3 - Proceedings of the Annual ACM Symposium on Theory of Computing
SP - 801
EP - 814
BT - STOC 2018 - Proceedings of the 50th Annual ACM SIGACT Symposium on Theory of Computing
A2 - Henzinger, Monika
A2 - Kempe, David
A2 - Diakonikolas, Ilias
PB - Association for Computing Machinery
T2 - 50th Annual ACM Symposium on Theory of Computing, STOC 2018
Y2 - 25 June 2018 through 29 June 2018
ER -
ID: 52048100