scholarly journals Tuning Parallel SAT Solvers

10.29007/z3g2 ◽  
2019 ◽  
Author(s):  
Thorsten Ehlers ◽  
Dirk Nowotka
Keyword(s):  
Model Checking ◽  
Database Management ◽  
Bounded Model Checking ◽  
Experimental Results ◽  
Massively Parallel ◽  
Sat Solving ◽  
Sat Solvers ◽  
Sat Solver ◽  
The Impact

In this paper we present new implementation details and benchmarking results for our parallel portfolio solver TopoSAT2. In particular, we discuss ideas and implementation details for the exchange of learned clauses in a massively-parallel SAT solver which is designed to run more that 1, 000 solver threads in parallel. Furthermore, we go back to the roots of portfolio SAT solving, and discuss the impact of diversifying the solver by using different restart- , branching- and clause database management heuristics. We show that these techniques can be used to tune the solver towards different problems. However, in a case study on formulas derived from Bounded Model Checking problems we see the best performance when using a rather simple clause exchange strategy. We show details of these tests and discuss possible explanations for this phenomenon.As computing times on massively-parallel clusters are expensive, we consider it especially interesting to share these kind of experimental results.

scholarly journals Duplicates of conflict clauses in CDCL derivation and their usage to invert some cryptographic functions

2019 ◽  
pp. 54-66
Author(s):  
В.С. Кондратьев ◽  
А.А. Семенов ◽  
О.С. Заикин
Keyword(s):  
Hash Functions ◽  
Boolean Satisfiability ◽  
Experimental Results ◽  
Sat Solving ◽  
New Approach ◽  
Sat Solvers ◽  
Satisfiability Problems ◽  
Clause Learning ◽  
Sat Solver ◽  
Cryptographic Hash Functions

Изучен феномен повторного порождения конфликтных ограничений SAT-решателями в процессе работы с трудными экземплярами задачи о булевой выполнимости. Данный феномен является следствием применения эвристических механизмов чистки конфликтных баз, которые реализованы во всех современных SAT-решателях, основанных на алгоритме CDCL (Conflict Driven Clause Learning). Описана новая техника, которая позволяет отслеживать повторно порождаемые дизъюнкты и запрещать их последующее удаление. На базе предложенных технических решений построен новый многопоточный SAT-решатель (SAT, SATisfiability), который на ряде SAT-задач, кодирующих обращение криптографических хеш-функций, существенно превзошел по эффективности многопоточные решатели, занимавшие в последние годы высокие места на специализированных соревнованиях. A phenomenon of conflict clauses generated repeatedly by SAT solvers is studied. Such clauses may appear during solving hard Boolean satisfiability problems (SAT). This phenomenon is caused by the fact that the modern SAT solvers are based on the CDCL algorithm that generates conflict clauses. A database of such clauses is periodically and partially cleaned. A new approach for practical SAT solving is proposed. According to this approach, the repeatedly generated conflict clauses are tracked, whereas their further generation is prohibited. Based on this approach, a multithreaded SAT solver was developed. This solver was compared with the best multithreaded SAT solvers awarded during the last SAT competitions. According to the experimental results, the developed solver greatly outperforms its competitors on several SAT instances encoding the inversion of some cryptographic hash functions.

scholarly journals Improving SAT-based Bounded Model Checking for Existential CTL through Path Reuse

10.29007/2s1q ◽  
2018 ◽  
Author(s):  
Chuan Jiang ◽  
Gianfranco Ciardo
Keyword(s):  
Model Checking ◽  
Bounded Model Checking ◽  
Experimental Results ◽  
Propositional Satisfiability ◽  
Propositional Formula ◽  
Branching Time ◽  
Simple Modification ◽  
Complementary Technique ◽  
Computation Tree ◽  
Sat Solver

A complementary technique to decision-diagram-based model checking is SAT-based bounded model checking (BMC), which reduces the model checking problem to a propositional satisfiability problem so that the corresponding formula is satisfiable iff a counterexample or witness exists. Due to the branching time nature of computation tree logic (CTL), BMC for the universal fragment of CTL (ACTL) considers a counterexample in a bounded model as a set of bounded paths. Since the existential fragment of CTL (ECTL) is dual to ACTL, and ACTL formulas are often negated to obtain ECTL ones in practice, we focus on BMC for ECTL and propose an improved translation that generates a possibly smaller propositional formula by reducing the number of bounded paths to be considered in a witness. Experimental results show that the formulas generated by our approach are often easier for a SAT solver to answer. In addition, we propose a simple modification to the translation so that it is also defined for models with deadlock states.

scholarly journals Dolius: A Distributed Parallel SAT Solving Framework

10.29007/hvqt ◽  
2018 ◽  
Author(s):  
Gilles Audemard ◽  
Benoît Hoessen ◽  
Saïd Jabbour ◽  
Cédric Piette
Keyword(s):  
Shared Memory ◽  
State Of The Art ◽  
Divide And Conquer ◽  
Sat Solving ◽  
Sat Solvers ◽  
Sat Solver

Over the years, parallel SAT solving becomes more and more important. However, most of state-of-the-art parallel SAT solvers are portfolio-based ones. They aim at running several times the same solver with different parameters. In this paper, we propose a tool called Dolius, mainly based on the divide and conquer paradigm. In contrast to most current parallel efficient engines, Dolius does not need shared memory, can be distributed, and scales well when a large number of computing units is available. Furthermore, our tool contains an API allowing to plug any SAT solver in a simple way.

scholarly journals Towards Improving the Resource Usage of SAT-solvers

10.29007/3vwv ◽  
2018 ◽  
Author(s):  
Norbert Manthey ◽  
Ari Saptawijaya
Keyword(s):  
Data Structures ◽  
Memory Access ◽  
Resource Usage ◽  
Sat Solving ◽  
Sat Solvers ◽  
L2 Cache ◽  
Measurement Results ◽  
Sat Solver ◽  
Cache Analysis ◽  
Runtime Performance

The paper presents our work on cache analysis of SAT-solving. The aim is to study how resources are utilized by a SAT-solver and to use this knowledge to improve the resource usage in SAT-solving. The analysis is performed mainly on our CDCL-based SAT-solver and additionally on MiniSAT and PrecoSAT. The measurement is conducted using sample-based profiling on some industrial benchmark from the SAT-competition 2009. During the measurement the following hardware events are traced: total cycles, stall cycles, L2 cache hits and L2 cache misses. From the measurement results, our runtime and implementation analysis unveil that several improvements on resource usage can be done, i.e. on data structures and memory access. These improvements bring about 60% speedup of runtime performance for our solver.

scholarly journals Counterexample-Preserving Reduction for Symbolic Model Checking

2014 ◽  
Vol 2014 ◽  
pp. 1-13 ◽  
Author(s):  
Wanwei Liu ◽  
Rui Wang ◽  
Xianjin Fu ◽  
Ji Wang ◽  
Wei Dong ◽  
...  
Keyword(s):  
Model Checking ◽  
Bounded Model Checking ◽  
Symbolic Model Checking ◽  
Sat Solving ◽  
Symbolic Model ◽  
Highly Sensitive ◽  
The Cost ◽  
Ltl Model Checking

The cost of LTL model checking is highly sensitive to the length of the formula under verification. We observe that, under some specific conditions, the input LTL formula can be reduced to an easier-to-handle one before model checking. In such reduction, these two formulae need not to be logically equivalent, but they share the same counterexample set w.r.t the model. In the case that the model is symbolically represented, the condition enabling such reduction can be detected with a lightweight effort (e.g., with SAT-solving). In this paper, we tentatively name such technique “counterexample-preserving reduction” (CePRe, for short), and the proposed technique is evaluated by conducting comparative experiments of BDD-based model checking, bounded model checking, and property directed reachability-(IC3) based model checking.

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