Boolean satisfiability solvers and their applications in model checking

Y Vizel, G Weissenbacher, S Malik - Proceedings of the IEEE, 2015 - ieeexplore.ieee.org
Boolean satisfiability (SAT)-the problem of determining whether there exists an assignment
satisfying a given Boolean formula-is a fundamental intractable problem in computer …

Using minimal correction sets to more efficiently compute minimal unsatisfiable sets

F Bacchus, G Katsirelos - International Conference on Computer Aided …, 2015 - Springer
An unsatisfiable set is a set of formulas whose conjunction is unsatisfiable. Every
unsatisfiable set can be corrected, ie, made satisfiable, by removing a subset of its members …

[PDF][PDF] Proofs for satisfiability problems

MJH Heule, A Biere - All about Proofs, Proofs for all, 2015 - cca.informatik.uni-freiburg.de
Satisfiability (SAT) solvers have become powerful tools to solve a wide range of
applications. In case SAT problems are satisfiable, it is easy to validate a witness. However …

Recursive online enumeration of all minimal unsatisfiable subsets

J Bendík, I Černá, N Beneš - … Technology for Verification and Analysis: 16th …, 2018 - Springer
In various areas of computer science, we deal with a set of constraints to be satisfied. If the
constraints cannot be satisfied simultaneously, it is desirable to identify the core problems …

Finding a collection of MUSes incrementally

F Bacchus, G Katsirelos - Integration of AI and OR Techniques in …, 2016 - Springer
Abstract Minimal Unsatisfiable Sets (MUSes) are useful in a number of applications.
However, in general there are many different MUSes, and each application might have …

Approximate counting of minimal unsatisfiable subsets

J Bendík, KS Meel - International Conference on Computer Aided …, 2020 - Springer
Given an unsatisfiable formula F in CNF, ie a set of clauses, the problem of Minimal
Unsatisfiable Subset (MUS) seeks to identify a minimal subset of clauses N ⊆ F such that N …

Computation of minimal unsatisfiable subformulas for SAT-based digital circuit error diagnosis

L Gaber, AI Hussein, H Mahmoud, MM Mabrook… - Journal of Ambient …, 2022 - Springer
The explanation of infeasibilities formed in Minimal Unsatisfiable Subformulas (MUSes) is a
core task in the analysis of over-constrained Boolean formulas. A wide range of applications …

[PDF][PDF] Rotation based MSS/MCS enumeration

J Bendık, I Cerná - LPAR. EPiC Series in Computing, 2020 - easychair.org
Abstract Given an unsatisfiable Boolean Formula F in CNF, ie, a set of clauses, one is often
interested in identifying Maximal Satisfiable Subsets (MSSes) of F or, equivalently, the …

Trusted Scalable SAT Solving with on-the-fly LRAT Checking

D Schreiber - 27th International Conference on Theory and …, 2024 - drops.dagstuhl.de
Recent advances have enabled powerful distributed SAT solvers to emit proofs of
unsatisfiability, which renders them as trustworthy as sequential solvers. However, this mode …

Proofs of unsatisfiability

MJH Heule - Handbook of Satisfiability, 2021 - ebooks.iospress.nl
Satisfiability (SAT) solvers have become complex tools, which raises the question of whether
we can trust their results. This question is particularly important when the solvers are used to …