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UID:www.tcs.tifr.res.in/event/481
DTSTAMP:20230914T125926Z
SUMMARY:Beating Brute Force Search for QBF Satisfiability\, and Implication
s for Formula Size Lower Bounds
DESCRIPTION:Speaker: Rahul Santhanam (University of Edinburgh\nSchool of In
formatics\n10\, Crichton Street\nEdinburgh - EH8 9AB\nUnited Kingdom)\n\nA
bstract: \nAbstract: We give the first algorithms for the QBF Satisfiabili
ty problem beating brute force search. We show that the QBF satisfiability
question for CNF instances with $n$ variables\, $q$ quantifier blocks and
size $poly(n)$ can be solved in time $2^{n-\\Omega(n^{1/(q+1)})}$\, and t
hat the QBF satisfiability question for circuit instances with $n$ variabl
es\, $q$ quantifier blocks and size $poly(n)$ can be solved in time $2^{n-
\\Omega(q)}$. We also show that improvements on these algorithms would lea
d to super-polynomial formula size lower bounds for NEXP (this is joint wo
rk with Ryan Williams).\n
URL:https://www.tcs.tifr.res.in/web/events/481
DTSTART;TZID=Asia/Kolkata:20140417T160000
DTEND;TZID=Asia/Kolkata:20140417T170000
LOCATION:AG-80
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