On the hierarchical community structure of practical Boolean formulas

C Li, J Chung, S Mukherjee, M Vinyals… - Theory and Applications …, 2021 - Springer
Modern CDCL SAT solvers easily solve industrial instances containing tens of millions of
variables and clauses, despite the theoretical intractability of the SAT problem. This gap …

Scale-free random SAT instances

C Ansótegui, ML Bonet, J Levy - Algorithms, 2022 - mdpi.com
We focus on the random generation of SAT instances that have properties similar to real-
world instances. It is known that many industrial instances, even with a great number of …

The satisfiability threshold for non-uniform random 2-SAT

T Friedrich, R Rothenberger - arXiv preprint arXiv:1904.02027, 2019 - arxiv.org
Propositional satisfiability (SAT) is one of the most fundamental problems in computer
science. Its worst-case hardness lies at the core of computational complexity theory, for …

[PDF][PDF] On the hierarchical community structure of practical sat formulas

C Li, J Chung, S Mukherjee, M Vinyals… - arXiv preprint arXiv …, 2021 - easychair.org
Mo dernCDCLSA Tsolverseasilysolveindustrial instances containingtensofmillions
ofvariablesandclauses, despitethetheoretical in tractability of the SA T problem. This gap …

Understanding and Improving SAT Solvers via Proof Complexity and Reinforcement Learning

C Li - 2023 - uwspace.uwaterloo.ca
Despite the fact that the Boolean satisfiability (SAT) problem is NP-complete and believed to
be intractable, SAT solvers are routinely used by practitioners to solve hard problems in …

[PDF][PDF] Theoretical Study of Data Reduction in Real-World Hitting Set Instances

M Wunderlich - 2024 - scale.iti.kit.edu
Finding a minimum HittingSet is a fundamental optimization problem on hypergraphs.
Despite being NP-complete and even𝑊 [2]-complete (if parametrized by solution size), many …

[PDF][PDF] Anzahl inklusionsmaximaler Cliquen in geometrischen Zufallsgraphen

N Lemke - scale.iti.kit.edu
Modelle zu finden und zu untersuchen, welche Graphen erzeugen, die möglichst gut mit
echten Netzwerken übereinstimmen, ist Kern des Forschungsgebiet „Network Science" …

[引用][C] Geometric Inhomogeneous Random Graphs for Algorithm Engineering

C Weyand - 2023 - Karlsruhe Institute of Technology …