Solving Hybrid Boolean Constraints by Fourier Expansions and Continuous Optimization
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[1] Mark H. Liffiton,et al. A Cardinality Solver: More Expressive Constraints for Free - (Poster Presentation) , 2012, SAT.
[2] Weiwei Gong,et al. A survey of SAT solver , 2017 .
[3] J. R. Barbosa. Applied Hilbert's Nullstellensatz for Combinatorial Problems , 2016 .
[4] Hector J. Levesque,et al. A New Method for Solving Hard Satisfiability Problems , 1992, AAAI.
[5] Henry Kautz,et al. Exploiting Variable Dependency in Local Search , 1997, IJCAI 1997.
[6] Surya Ganguli,et al. Identifying and attacking the saddle point problem in high-dimensional non-convex optimization , 2014, NIPS.
[7] T. Sanders,et al. Analysis of Boolean Functions , 2012, ArXiv.
[8] Kenneth E. Batcher,et al. Sorting networks and their applications , 1968, AFIPS Spring Joint Computing Conference.
[9] Joao Marques-Silva,et al. PySAT: A Python Toolkit for Prototyping with SAT Oracles , 2018, SAT.
[10] M. Thornton,et al. Efficient Spectral Coefficient Calculation Using Circuit Output Probabilities , 1994 .
[11] Irit Dinur,et al. The Hardness of 3-Uniform Hypergraph Coloring , 2005, Comb..
[12] Niklas Sörensson,et al. An Extensible SAT-solver , 2003, SAT.
[13] Michael I. Jordan,et al. Gradient Descent Converges to Minimizers , 2016, ArXiv.
[14] Furong Huang,et al. Escaping From Saddle Points - Online Stochastic Gradient for Tensor Decomposition , 2015, COLT.
[15] Walter Kern,et al. An improved deterministic local search algorithm for 3-SAT , 2004, Theor. Comput. Sci..
[16] David A. Cox,et al. Ideals, Varieties, and Algorithms , 1997 .
[17] Toby Walsh,et al. Decomposing Global Grammar Constraints , 2007, CP.
[18] Vasco M. Manquinho,et al. Exploiting Cardinality Encodings in Parallel Maximum Satisfiability , 2011, 2011 IEEE 23rd International Conference on Tools with Artificial Intelligence.
[19] Gilles Audemard,et al. Lazy Clause Exchange Policy for Parallel SAT Solvers , 2014, SAT.
[20] Erika Ábrahám,et al. Building Bridges between Symbolic Computation and Satisfiability Checking , 2015, ISSAC.
[21] A. Bonami. Étude des coefficients de Fourier des fonctions de $L^p(G)$ , 1970 .
[22] Moshe Y. Vardi,et al. Combining the k-CNF and XOR Phase-Transitions , 2016, IJCAI.
[23] Bart Selman,et al. Local search strategies for satisfiability testing , 1993, Cliques, Coloring, and Satisfiability.
[24] Carsten Sinz,et al. Towards an Optimal CNF Encoding of Boolean Cardinality Constraints , 2005, CP.
[25] J. Walsh. A Closed Set of Normal Orthogonal Functions , 1923 .
[26] Kaile Su,et al. Improving WalkSAT for Random k-Satisfiability Problem with k > 3 , 2013, AAAI.
[27] Noam Nisan,et al. Constant depth circuits, Fourier transform, and learnability , 1989, 30th Annual Symposium on Foundations of Computer Science.
[28] Gil Kalai,et al. A Fourier-theoretic perspective on the Condorcet paradox and Arrow's theorem , 2002, Adv. Appl. Math..
[29] C.R. Edwards. The Application of the Rademacher–Walsh Transform to Boolean Function Classification and Threshold Logic Synthesis , 1975, IEEE Transactions on Computers.
[30] Eric Jones,et al. SciPy: Open Source Scientific Tools for Python , 2001 .
[31] Bart Selman,et al. Evidence for Invariants in Local Search , 1997, AAAI/IAAI.
[32] Kuldeep S. Meel,et al. Phase Transition Behavior of Cardinality and XOR Constraints , 2019, IJCAI.
[33] Yann LeCun,et al. The Loss Surfaces of Multilayer Networks , 2014, AISTATS.
[34] Toby Walsh,et al. Handbook of Satisfiability: Volume 185 Frontiers in Artificial Intelligence and Applications , 2009 .
[35] Michael I. Jordan,et al. Stochastic Gradient Descent Escapes Saddle Points Efficiently , 2019, ArXiv.
[36] Donald W. Loveland,et al. A machine program for theorem-proving , 2011, CACM.
[37] Karem A. Sakallah,et al. Pueblo: A Hybrid Pseudo-Boolean SAT Solver , 2006, J. Satisf. Boolean Model. Comput..
[38] Peter J. Stuckey,et al. Core-Boosted Linear Search for Incomplete MaxSAT , 2019, CPAIOR.
[39] Shmuel Safra,et al. Threshold Phenomena and Influence, with Some Perspectives from Mathematics, Computer Science, and Economics , 2005 .
[40] Niklas Sörensson,et al. Translating Pseudo-Boolean Constraints into SAT , 2006, J. Satisf. Boolean Model. Comput..
[41] James M. Crawford,et al. The Minimal Disagreement Parity Problem as a Hard Satisfiability Problem , 1995 .
[42] Stefano Ermon,et al. Variable Elimination in the Fourier Domain , 2015, ICML.
[43] Claude Castelluccia,et al. Extending SAT Solvers to Cryptographic Problems , 2009, SAT.
[44] Stefano Ermon,et al. Beyond Parity Constraints: Fourier Analysis of Hash Functions for Inference , 2016, ICML.
[45] Jakob Nordström,et al. Divide and Conquer: Towards Faster Pseudo-Boolean Solving , 2018, IJCAI.
[46] Randal E. Bryant. Binary decision diagrams and beyond: enabling technologies for formal verification , 1995, ICCAD.
[47] Hilary Putnam,et al. A Computing Procedure for Quantification Theory , 1960, JACM.
[48] Jia Hui Liang,et al. Machine Learning for SAT Solvers , 2018 .
[49] Dominique de Werra,et al. Graph coloring with cardinality constraints on the neighborhoods , 2009, Discret. Optim..
[50] Curtis Bright,et al. SAT Solvers and Computer Algebra Systems: A Powerful Combination for Mathematics , 2019, CASCON.
[51] Jehoshua Bruck,et al. Polynomial threshold functions, AC functions and spectrum norms , 1990, Proceedings [1990] 31st Annual Symposium on Foundations of Computer Science.
[52] Jesús A. De Loera,et al. Computing infeasibility certificates for combinatorial problems through Hilbert's Nullstellensatz , 2011, J. Symb. Comput..
[53] Thomas Stützle,et al. SATLIB: An Online Resource for Research on SAT , 2000 .
[54] Chu Min Li,et al. Integrating Equivalency Reasoning into Davis-Putnam Procedure , 2000, AAAI/IAAI.
[55] Joao Marques-Silva,et al. GRASP: A Search Algorithm for Propositional Satisfiability , 1999, IEEE Trans. Computers.
[56] Suku Nair,et al. Efficient calculation of spectral coefficients and their applications , 1995, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..
[57] Martin J. Wainwright,et al. Using linear programming to Decode Binary linear codes , 2005, IEEE Transactions on Information Theory.
[58] J. Moore,et al. Boolean Function Matching using Walsh Spectral Decision Diagrams , 2006, 2006 IEEE Dallas/CAS Workshop on Design, Applications, Integration and Software.
[59] Eugene Goldberg,et al. BerkMin: A Fast and Robust Sat-Solver , 2002, Discret. Appl. Math..
[60] Armin Biere,et al. PicoSAT Essentials , 2008, J. Satisf. Boolean Model. Comput..
[61] Adrian Balint,et al. Improving Stochastic Local Search for SAT with a New Probability Distribution , 2010, SAT.
[62] Nathan Linial,et al. The influence of variables on Boolean functions , 1988, [Proceedings 1988] 29th Annual Symposium on Foundations of Computer Science.
[63] Uwe Schöning,et al. Choosing Probability Distributions for Stochastic Local Search and the Role of Make versus Break , 2012, SAT.
[64] Avishay Tal,et al. Tight bounds on The Fourier Spectrum of AC0 , 2017, Electron. Colloquium Comput. Complex..
[65] Yurii Nesterov,et al. Introductory Lectures on Convex Optimization - A Basic Course , 2014, Applied Optimization.
[66] Andrey Bogdanov,et al. Biclique Cryptanalysis of the Full AES , 2011, ASIACRYPT.
[67] Armin Biere. Lingeling, Plingeling, PicoSAT and PrecoSAT at SAT Race 2010 , 2010 .
[68] Alan J. Hu,et al. SAT Modulo Monotonic Theories , 2014, AAAI.
[69] Krzysztof Czarnecki,et al. MathCheck: A Math Assistant via a Combination of Computer Algebra Systems and SAT Solvers , 2015, CADE.
[70] Anastasios Kyrillidis,et al. FourierSAT: A Fourier Expansion-Based Algebraic Framework for Solving Hybrid Boolean Constraints , 2019, AAAI.
[71] Olivier Bailleux,et al. Efficient CNF Encoding of Boolean Cardinality Constraints , 2003, CP.
[72] Colin Wei,et al. General Bounds on Satisfiability Thresholds for Random CSPs via Fourier Analysis , 2017, AAAI.
[73] Rolf Drechsler,et al. Spectral Techniques in VLSI CAD , 2001, Springer US.
[74] Hans van Maaren,et al. A two phase algorithm for solving a class of hard satissfiability problems , 1998 .