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[2602.17130] Efficient Parallel Algorithm for Decomposing Hard CircuitSAT Instances
Summary
This article presents a new parallel algorithm designed to decompose complex CircuitSAT instances, enhancing efficiency in solving SAT problems, particularly in applications like logical equivalence checking and cryptographic hash functions.
Why It Matters
The development of efficient algorithms for CircuitSAT problems is crucial in fields like artificial intelligence and cryptography, where solving complex logical formulas can significantly impact performance and security. This work could lead to advancements in automated reasoning and optimization techniques.
Key Takeaways
- Introduces a novel parallel algorithm for CircuitSAT decomposition.
- Utilizes specialized constraints to create weakened formulas for easier problem-solving.
- Demonstrates practical efficacy on challenging instances, including cryptographic applications.
- Adjustable parameters allow for tailored decompositions based on hardness estimations.
- Contributes to advancements in AI and cryptographic security through improved algorithm efficiency.
Computer Science > Artificial Intelligence arXiv:2602.17130 (cs) [Submitted on 19 Feb 2026] Title:Efficient Parallel Algorithm for Decomposing Hard CircuitSAT Instances Authors:Victor Kondratiev, Irina Gribanova, Alexander Semenov View a PDF of the paper titled Efficient Parallel Algorithm for Decomposing Hard CircuitSAT Instances, by Victor Kondratiev and Irina Gribanova and Alexander Semenov View PDF HTML (experimental) Abstract:We propose a novel parallel algorithm for decomposing hard CircuitSAT instances. The technique employs specialized constraints to partition an original SAT instance into a family of weakened formulas. Our approach is implemented as a parameterized parallel algorithm, where adjusting the parameters allows efficient identification of high-quality decompositions, guided by hardness estimations computed in parallel. We demonstrate the algorithm's practical efficacy on challenging CircuitSAT instances, including those encoding Logical Equivalence Checking of Boolean circuits and preimage attacks on cryptographic hash functions. Subjects: Artificial Intelligence (cs.AI) Cite as: arXiv:2602.17130 [cs.AI] (or arXiv:2602.17130v1 [cs.AI] for this version) https://doi.org/10.48550/arXiv.2602.17130 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Alexander Semenov [view email] [v1] Thu, 19 Feb 2026 07:05:48 UTC (42 KB) Full-text links: Access Paper: View a PDF of the paper titled Efficient Parallel Algorit...
