Results 1 - 10
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474
Super-Linear Time-Space Tradeoff Lower Bounds for Randomized Computation
, 2000
"... We prove the first time-space lower bound tradeoffs for randomized computation of decision problems. The bounds hold even in the case that the computation is allowed to have arbitrary probability of error on a small fraction of inputs. Our techniques are an extension of those used by Ajtai [Ajt99a, ..."
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Cited by 33 (2 self)
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We prove the first time-space lower bound tradeoffs for randomized computation of decision problems. The bounds hold even in the case that the computation is allowed to have arbitrary probability of error on a small fraction of inputs. Our techniques are an extension of those used by Ajtai [Ajt99a
Time-Space Tradeoffs for Satisfiability
- Journal of Computer and System Sciences
, 1997
"... We give the first nontrivial model-independent time-space tradeoffs for satisfiability. Namely, we show that SAT cannot be solved simultaneously in n 1+o(1) time and n 1\Gammaffl space for any ffl ? 0 on general random-access nondeterministic Turing machines. In particular, SAT cannot be solved ..."
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Cited by 37 (1 self)
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We give the first nontrivial model-independent time-space tradeoffs for satisfiability. Namely, we show that SAT cannot be solved simultaneously in n 1+o(1) time and n 1\Gammaffl space for any ffl ? 0 on general random-access nondeterministic Turing machines. In particular, SAT cannot
Time-Space Tradeoff Lower Bounds for Randomized Computation of Decision Problems
- In Proc. of 41st FOCS
, 2000
"... We prove the first time-space lower bound tradeoffs for randomized computation of decision problems. ..."
Abstract
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Cited by 35 (5 self)
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We prove the first time-space lower bound tradeoffs for randomized computation of decision problems.
Time-Space Tradeoff Lower Bounds for Integer . . .
, 2003
"... We prove exponential size lower bounds for nondeterministic and randomized read-k BPs as well as a time-space tradeoff lower bound for unrestricted, deterministic multi-way BPs computing the middle bit of integer multiplication. The lower bound for randomized read-k BPs is superpolynomial as long as ..."
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We prove exponential size lower bounds for nondeterministic and randomized read-k BPs as well as a time-space tradeoff lower bound for unrestricted, deterministic multi-way BPs computing the middle bit of integer multiplication. The lower bound for randomized read-k BPs is superpolynomial as long
Time-space tradeoff lower bounds for integer . . . (Extended Abstract)
, 2003
"... We prove exponential size lower bounds for nondeterministic and randomized read-k BPs as well as a time-space tradeoff lower bound for unrestricted, deterministic multi-way BPs computing the middle bit of integer multiplication. The lower bound for randomized read-k BPs is superpolynomial as long ..."
Abstract
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Cited by 8 (2 self)
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We prove exponential size lower bounds for nondeterministic and randomized read-k BPs as well as a time-space tradeoff lower bound for unrestricted, deterministic multi-way BPs computing the middle bit of integer multiplication. The lower bound for randomized read-k BPs is superpolynomial as long
on Time–Space Tradeoffs for Branching
, 1999
"... We obtain the first non-trivial time–space tradeoff lower bound for func-tions f: {0, 1}nQ {0, 1} on general branching programs by exhibiting a Boolean function f that requires exponential size to be computed by any branching program of length (1+e) n, for some constant e> 0. We also give the fir ..."
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We obtain the first non-trivial time–space tradeoff lower bound for func-tions f: {0, 1}nQ {0, 1} on general branching programs by exhibiting a Boolean function f that requires exponential size to be computed by any branching program of length (1+e) n, for some constant e> 0. We also give
Time-Space Lower Bounds for Satisfiability
, 2004
"... We establish the first polynomial time-space lower bounds for satisfiability on general models of computation. We show that for any constant c less than the golden ratio there exists a positive constant d such that no deterministic random-access Turing machine can solve satisfiability in time n c an ..."
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Cited by 28 (7 self)
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We establish the first polynomial time-space lower bounds for satisfiability on general models of computation. We show that for any constant c less than the golden ratio there exists a positive constant d such that no deterministic random-access Turing machine can solve satisfiability in time n c
Time-Space Tradeoffs for Branching Programs
, 1999
"... We obtain the first non-trivial time-space tradeoff lower bound for functions f : {0, 1}^n → {0, 1} on general branching programs by exhibiting a Boolean function f that requires exponential size to be computed by any branching program of length (1 + ε)n, for some constant & ..."
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Cited by 46 (4 self)
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We obtain the first non-trivial time-space tradeoff lower bound for functions f : {0, 1}^n → {0, 1} on general branching programs by exhibiting a Boolean function f that requires exponential size to be computed by any branching program of length (1 + ε)n, for some constant &
A time-space tradeoff for sorting on a general sequential model of computation
- SIAM Journal on Computing
, 1982
"... Abstract. In a general sequential model of computation, no restrictions are placed on theway in which the computation may proceed, except that parallel operations are not allowed. We show that in such an unrestricted environment TIME.SPACE fl(N2/logN) in order to sort N integers, each in the range [ ..."
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Cited by 64 (6 self)
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[,N]. Key words, time-space tradeoffs, conputational complexity, sorting, time lower bounds, space lower bounds
Results 1 - 10
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474