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Page 4093 of Mathematical Reviews Vol. , Issue 2004e
[page]
2004
Mathematical Reviews
results on random unsatisfiable {-Sat instances and approximation algorithms applied to random structures. ...
Summary: “It is known that random k-Sat instances with at least n(2*1n2) random clauses are unsatisfiable with high probability. ...
Backbone Guided Local Search for Maximum Satisfiability
2003
International Joint Conference on Artificial Intelligence
We call our new algorithm backbone guided Walksat (BGWalksat). On large random SAT and Max-SAT problems as well as instances from the SATLIB, BGWalksat significantly improves Walksat's performance. ...
Maximum satisfiability (Max-SAT) is more general and more difficult to solve than satisfiability (SAT). ...
A SAT (Max-SAT) with k literals per clause is denoted as k-SAT (Max-k-SAT). It is known that k-SAT with k greater than two is NP-complete and Max-k-SAT with k being at least two is NPhard [7] . ...
dblp:conf/ijcai/ZhangRL03
fatcat:5vonoc7isfekveedk3rbjh6mc4
Using CSP look-back techniques to solve exceptionally hard SAT instances
[chapter]
1996
Lecture Notes in Computer Science
We enhance the Tableau SAT algorithm of Crawford and Auton with look-back techniques and evaluate its performance on problems specifically designed to challenge it. ...
The Random 3-SAT problem space has commonly been used to benchmark SAT algorithms because consistently difficult instances can be found near a region known as the phase transition. ...
Acknowledgments We wish to thank Jimi Crawford for the Tableau executable and assistance in replicating its behavior. ...
doi:10.1007/3-540-61551-2_65
fatcat:lzziqwsq5rdw7e2cj73eftivpq
On the Relative Merits of Simple Local Search Methods for the MAX-SAT Problem
[chapter]
2010
Lecture Notes in Computer Science
(SA and MWS) on random 3-CNF and random k-CNF formulas and on benchmarks from MAX-SAT competitions. ...
In contrast, it is relatively rare that local search algorithms are analyzed with respect to the worst-case approximation ratios. ...
Finally with regard to random SAT instances we consider Max-k-Sat for k > 3. ...
doi:10.1007/978-3-642-14186-7_19
fatcat:rcse7yohjfennnpepnx2vbkofe
Solving satisfiability problems by fluctuations: The dynamics of stochastic local search algorithms
2003
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
We give numerical and approximate analytical descriptions of the dynamics of such algorithms applied to random satisfiability problems. ...
Stochastic local search algorithms are frequently used to numerically solve hard combinatorial optimization or decision problems. ...
Acknowledgments: We are grateful to R. Zecchina for helpful discussions. We also thank R. Monasson and G. Semerjian for communicating their results [23] prior to publication. ...
doi:10.1103/physreve.67.066104
pmid:16241301
fatcat:pr4wbesanve5dgk35emkruxuna
Spines of Random Constraint Satisfaction Problems: Definition and Impact on Computational Complexity
2004
International Symposium on Artificial Intelligence and Mathematics
Some of the hardness results for resolution extend to these more powerful proof systems, and in [20] we investigate the extent to which the results of this paper apply to this class of proof systems. ...
Choose a random constraint from C and apply it on the list of (ordered) variables. We use the notation SAT(C) (instead of CSP(C)) when t=2. ...
Consider the backtrack tree of the natural DPLL algorithm (that tries to satisfies clauses one at a time) on such a minimally unsatisfiable subformula F . ...
dblp:conf/isaim/BoettcherIP04
fatcat:niwxksfhvrauzcne7n7rkztbui
Spines of random constraint satisfaction problems: definition and connection with computational complexity
2005
Annals of Mathematics and Artificial Intelligence
is associated with a 2 Ω(n) resolution complexity (and thus a 2 Ω(n) complexity of DPLL algorithms) on random instances. ...
We present several further results that add weight to the intuition that random constraint satisfaction problems with a sharp threshold and a continuous spine are "qualitatively similar to random 2-SAT ...
The k-uniform hypergraph on the 2n nodes (variables and their negations) corresponding to choosing a random instance of SAT (neg) 2 (C) is a random k-uniform hypergraph. ...
doi:10.1007/s10472-005-7033-2
fatcat:u43fbvbrajczvmn5wmb4tkwwsm
Spines of Random Constraint Satisfaction Problems: Definition and Connection with Computational Complexity
[article]
2005
arXiv
pre-print
is associated with a 2^Ω(n) resolution complexity (and thus a 2^Ω(n) complexity of DPLL algorithms) on random instances. ...
We present several further results that add weight to the intuition that random constraint satisfaction problems with a sharp threshold and a continuous spine are "qualitatively similar to random 2-SAT ...
The k-uniform hypergraph on the 2n nodes (variables and their negations) corresponding to choosing a random instance of SAT (neg) 2 (C) is a random k-uniform hypergraph. ...
arXiv:cs/0503082v1
fatcat:wfqggbv43napzheyyiiwwrdmnu
Backbone Fragility and the Local Search Cost Peak
2000
The Journal of Artificial Intelligence Research
The local search algorithm WSat is one of the most successful algorithms for solving the satisfiability (SAT) problem. ...
We make a number of significant contributions to the analysis of WSat on high-cost random instances, using the recently-introduced concept of the backbone of a SAT instance. ...
We would like to thank the other members of the Apes group, the anonymous reviewers of this and an earlier paper and Andrew Tuson for invaluable comments and discussions. ...
doi:10.1613/jair.711
fatcat:cx3mvsob55fithdfiu4tnekzae
A theory of non-equilibrium local search on random satisfaction problems
[article]
2019
arXiv
pre-print
We study local search algorithms to solve instances of the random k-satisfiabi lity problem, equivalent to finding (if they exist) zero-energy ground states of statistical models with disorder on random ...
In this paper we introduce such a theory based on the recently developed technique of cavity master equations and test it on the paradigmatic random 3-satisfiability problem. ...
(Bottom) FMS's dependency on N for η = 0.45 and α = 3.6 < αc.
FIG. 2 . 2 CME results on 3-SAT instances. ...
arXiv:1903.01510v1
fatcat:5lyoicm5hzbsvidt6hojl6yiwy
Configuration landscape analysis and backbone guided local search
2004
Artificial Intelligence
Our experimental results show that backbone-guided local search is effective on overconstrained random Max-SAT instances. ...
Moreover, on large problem instances from a SAT library (SATLIB), the backbone guided WalkSAT algorithm finds satisfiable solutions more often than WalkSAT on SAT problem instances, and obtains better ...
Thanks to Henry Kautz for making the ...
doi:10.1016/j.artint.2004.04.001
fatcat:d4asotzy3vdjlm7rh6clpffiny
Community-Based Partitioning for MaxSAT Solving
[chapter]
2013
Lecture Notes in Computer Science
These algorithms rely on successive calls to a SAT solver, where an unsatisfiable subformula is identified at each iteration. ...
Unsatisfiability-based algorithms for Maximum Satisfiability (Max-SAT) have been shown to be very effective in solving several classes of problem instances. ...
Furthermore, the partitioning approaches proposed in this paper are not limited to the WBO algorithm and will be used in other unsatisfiability-based algorithms. ...
doi:10.1007/978-3-642-39071-5_14
fatcat:bn2hpkewtvgljlrolynqsuesdy
A novel local search based on variable-focusing for random K-SAT
[article]
2013
arXiv
pre-print
The new method works by picking uniformly random variables in unsatisfied clauses. A Variable-based Focused Metropolis Search (V-FMS) is then applied to random 3-SAT. ...
We introduce a new local search algorithm for satisfiability problems. Usual approaches focus uniformly on unsatisfied clauses. ...
Introduction Focused local search algorithms have been found to be fairly efficient in solving random instances of the Boolean satisfiability problem (K-SAT), a famous NP-complete problem for K ≥ 3 [1 ...
arXiv:1311.2914v2
fatcat:rbeloalkinaapilij3iuonkxj4
Local Search for Unsatisfiability
[chapter]
2006
Lecture Notes in Computer Science
Local search is widely applied to satisfiable SAT problems, and on some classes outperforms backtrack search. ...
An intriguing challenge posed by Selman, Kautz and McAllester in 1997 is to use it instead to prove unsatisfiability. We investigate two distinct approaches. ...
Acknowledgements Thanks to Eli Ben-Sasson for advice on resolution, and to the anonymous referees for many helpful comments. ...
doi:10.1007/11814948_28
fatcat:hkpkfyqcwfezfnpcsepsactwnq
Solving Stochastic Boolean Satisfiability under Random-Exist Quantification
2017
Proceedings of the Twenty-Sixth International Joint Conference on Artificial Intelligence
Experimental results show that our method outperforms the state-of-the-art algorithm on random k-CNF formulas and has effective application to approximate SSAT on circuit benchmarks. ...
This paper focuses on random-exist quantified SSAT formulas, and proposes an algorithm combining binary decision diagram (BDD), logic synthesis, and modern SAT techniques to improve computational efficiency ...
Proceedings of the Twenty-Sixth International Joint Conference on Artificial Intelligence ...
doi:10.24963/ijcai.2017/96
dblp:conf/ijcai/LeeWJ17
fatcat:lcgtk2zz75gqvcz2jwzzikvq3q
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