We give the first nontrivial model-independent time space tradeoffs for satisfiability. Namely, we show that SAT cannot be solved in n 1+o(1) time and n 1&= space for any =>0 general random-access nondeterministic Turing machines. In particular, SAT cannot be solved deterministically by a Turing mac
Topological parameters for time-space tradeoff
โ Scribed by Rina Dechter; Yousri El Fattah
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 463 KB
- Volume
- 125
- Category
- Article
- ISSN
- 0004-3702
No coin nor oath required. For personal study only.
โฆ Synopsis
In this paper we propose a family of algorithms combining tree-clustering with conditioning that trade space for time. Such algorithms are useful for reasoning in probabilistic and deterministic networks as well as for accomplishing optimization tasks. By analyzing the problem structure, the user can select from a spectrum of algorithms, the one that best meets a given time-space specification. To determine the potential of this approach we analyze the structural properties of problems coming from the circuit diagnosis domain. The analysis demonstrates how the tradeoffs associated with various hybrids can be used for each problem instance.
๐ SIMILAR VOLUMES
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are generalized and combined with an argument for diagonalizing over machines taking n bits of advice on inputs of length n to obtain the first nontrivial time-space lower bounds for SAT on nonuniform machines. In particular, we show that for any a < `2 and any e > 0, SAT cannot be computed by a ra