Solving and Verifying the Boolean Pythagorean Triples Problem via Cube-and-Conquer

From MaRDI portal
Publication:2818017

DOI10.1007/978-3-319-40970-2_15zbMath1403.68226arXiv1605.00723OpenAlexW2345876752WikidataQ55969534 ScholiaQ55969534MaRDI QIDQ2818017

Victor W. Marek, Marijn J. H. Heule, Oliver Kullmann

Publication date: 5 September 2016

Published in: Theory and Applications of Satisfiability Testing – SAT 2016 (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.00723



Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).


Related Items (47)

Combining SAT solvers with computer algebra systems to verify combinatorial conjecturesA Safe Computational Framework for Integer Programming Applied to Chvátal’s ConjectureA proof system for graph (non)-isomorphism verificationOnline over time processing of combinatorial problemsInductive logic programming at 30Nonexistence Certificates for Ovals in a Projective Plane of Order TenOptimal-depth sorting networksOptimal bounds for the no-show paradox via SAT solvingRamsey properties of nonlinear Diophantine equationsHow to get more out of your oraclesFoundations for the Working Mathematician, and for Their ComputerAdditive averages of multiplicative correlation sequences and applicationsFormally proving size optimality of sorting networksSquare Coloring Planar Graphs with Automatic DischargingComputer-aided constructions of commafree codesSimulating strong practical proof systems with extended resolutionTruth Assignments as Conditional AutarkiesNew ways to multiply \(3 \times 3\)-matrices\texttt{cake\_lpr}: verified propagation redundancy checking in CakeMLNear-optimal lower bounds on regular resolution refutations of Tseitin formulas for all constant-degree graphsFinding Effective SAT Partitionings Via Black-Box OptimizationFinding the Hardest Formulas for ResolutionOptimal symmetry breaking for graph problemsPreprocessing of propagation redundant clausesOn propositional coding techniques for the distinguishability of objects in finite setsUnnamed ItemRado's criterion over squares and higher powersFunctional Encryption for Inner Product with Full Function PrivacyThe resolution of Keller's conjectureA flexible proof format for SAT solver-elaborator communicationThe SAT+CAS method for combinatorial search with applications to best matricesStrong extension-free proof systemsComputing Maximum Unavoidable Subgraphs Using SAT SolversNon-clausal redundancy propertiesApplying computer algebra systems with SAT solvers to the Williamson conjectureUnnamed ItemIncompleteness, Undecidability and Automated ProofsDRAT Proofs for XOR ReasoningFormally verifying the solution to the Boolean Pythagorean triples problemA nonexistence certificate for projective planes of order ten with weight 15 codewordsCovered clauses are not propagation redundantThe resolution of Keller's conjecturePreprocessing of propagation redundant clausesSay no to case analysis: automating the drudgery of case-based proofsDeep cooperation of CDCL and local search for SATInvestigating the existence of Costas Latin squares via satisfiability testingXOR local search for Boolean Brent equations


Uses Software


Cites Work


This page was built for publication: Solving and Verifying the Boolean Pythagorean Triples Problem via Cube-and-Conquer