Clause redundancy and preprocessing in maximum satisfiability

H Ihalainen, J Berg, M Järvisalo - International Joint Conference on …, 2022 - Springer
The study of clause redundancy in Boolean satisfiability (SAT) has proven significant in
various terms, from fundamental insights into preprocessing and inprocessing to the …

Formally Verified Defensive Programming (efficient Coq-verified computations from untrusted ML oracles)

S Boulmé - 2021 - hal.science
This document presents a lightweight approach–combining Coq and OCaml typecheckers–
in order to formally verify higher-order imperative programs for partial correctness. In this …

The Relative Strength of# SAT Proof Systems

O Beyersdorff, JK Fichte, M Hecher… - … on Theory and …, 2024 - drops.dagstuhl.de
The propositional model counting problem# SAT asks to compute the number of satisfying
assignments for a given propositional formula. Recently, three# SAT proof systems kcps …

Never Trust Your Solver: Certification for SAT and QBF

M Seidl - International Conference on Intelligent Computer …, 2023 - Springer
Many problems for formal verification and artificial intelligence rely on advanced reasoning
technologies in the background, often in the form of SAT or QBF solvers. Such solvers are …

Exponential separations using guarded extension variables

E Yolcu, MJH Heule - arXiv preprint arXiv:2211.12456, 2022 - arxiv.org
We study the complexity of proof systems augmenting resolution with inference rules that
allow, given a formula $\Gamma $ in conjunctive normal form, deriving clauses that are not …

An Experimental Survey of Extended Resolution Effects for SAT Solvers on the Pigeonhole Principle

T Sonobe - Algorithms, 2022 - mdpi.com
It has been proven that extended resolution (ER) has more powerful reasoning than general
resolution for the pigeonhole principle in Cook's paper. This fact indicates the possibility that …

Advanced tools and methods for treewidth-based problem solving

M Hecher - it-Information Technology, 2023 - degruyter.com
Computer programs, so-called solvers, for solving the well-known Boolean satisfiability
problem (Sat) have been improving for decades. Among the reasons, why these solvers are …

Leibniz International Proceedings in Informatics (LIPIcs): 14th Innovations in Theoretical Computer Science Conference (ITCS 2023)

E Yolcu, MJ Heule - 2023 - par.nsf.gov
We study the complexity of proof systems augmenting resolution with inference rules that
allow, given a formula Γ in conjunctive normal form, deriving clauses that are not necessarily …

[PDF][PDF] Clause Redundancy and Preprocessing in Maximum Satisfiability Extended version with full proofs

H Ihalainen, J Berg, M Järvisalo - cs.helsinki.fi
The study of clause redundancy in Boolean satisfiability (SAT) has proven significant in
various terms, from fundamental insights into preprocessing and inprocessing to the …

[PDF][PDF] Interference-based proofs in SAT solving

A Rebola-Pardo - 2021 - scholar.archive.org
One of the main advancements in SAT solving over the last decade was the development of
a family of proof systems collectively called interference-based proof systems, including but …