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In many decision-making processes, one may prefer multiple solutions to a single solution, which allows us to choose an appropriate solution from the set of promising solutions that are found by algorithms. Given this, finding a set of…

数据结构与算法 · 计算机科学 2024-12-06 Tatsuya Gima , Yuni Iwamasa , Yasuaki Kobayashi , Kazuhiro Kurita , Yota Otachi , Rin Saito

The past three decades have witnessed notable success in designing efficient SAT solvers, with modern solvers capable of solving industrial benchmarks containing millions of variables in just a few seconds. The success of modern SAT solvers…

人工智能 · 计算机科学 2023-06-13 Jiong Yang , Arijit Shaw , Teodora Baluta , Mate Soos , Kuldeep S. Meel

The Model-Constructing Satisfiability Calculus (MCSAT) framework has been applied to SMT problems over various arithmetic theories. NLSAT, an implementation using cylindrical algebraic decomposition (CAD) for explanation, is especially…

符号计算 · 计算机科学 2025-09-30 Zhonghan Wang

The boolean satisfiability (SAT) problem asks whether there exists an assignment of boolean values to the variables of an arbitrary boolean formula making the formula evaluate to True. It is well-known that all NP-problems can be coded as…

机器学习 · 计算机科学 2024-10-22 Christopher R. Serrano , Jonathan Gallagher , Kenji Yamada , Alexei Kopylov , Michael A. Warren

Satisfiability modulo theories (SMT) is a core tool in formal verification. While the SMT-LIB specification language can be used to interact with theorem proving software, a high-level interface allows for faster and easier specifications…

计算机科学中的逻辑 · 计算机科学 2024-12-05 Emiko Soroka , Mykel J. Kochenderfer , Sanjay Lall

The problem of finding small unsatisfiable cores for SAT formulas has recently received a lot of interest, mostly for its applications in formal verification. However, propositional logic is often not expressive enough for representing many…

计算机科学中的逻辑 · 计算机科学 2014-01-17 Alessandro Cimatti , Alberto Griggio , Roberto Sebastiani

We build a SAT solver implementing the DPLL algorithm in the verification-enabled programming language Dafny. The resulting solver is fully verified (soundness, completeness and termination are computer checked). We benchmark our Dafny…

计算机科学中的逻辑 · 计算机科学 2020-07-22 Cezar-Constantin Andrici , Ştefan Ciobâcă

This paper describes diff-SAT, an Answer Set and SAT solver which combines regular solving with the capability to use probabilistic clauses, facts and rules, and to sample an optimal world-view (multiset of satisfying Boolean variable…

人工智能 · 计算机科学 2021-01-05 Matthias Nickles

To analyze large sets of grid states, e.g. when evaluating the impact from the uncertainties of the renewable generation with probabilistic Monte Carlo simulation or in stationary time series simulation, large number of power flow…

计算工程、金融与科学 · 计算机科学 2021-04-29 Zhenqi Wang , Sebastian Wende-von Berg , Martin Braun

The recently developed massively parallel satisfiability (SAT) solver HordeSAT was designed in a modular way to allow the integration of any sequential CDCL-based SAT solver in its core. We integrated the QCDCL-based quantified Boolean…

计算机科学中的逻辑 · 计算机科学 2016-06-15 Tomas Balyo , Florian Lonsing

Satisfiability Modulo Theories (SMT) solvers are integral to program analysis techniques like concolic and symbolic execution, where they help assess the satisfiability of logical formulae to explore execution paths of the program under…

软件工程 · 计算机科学 2025-04-11 Rustam Sadykov , Azat Abdullin , Marat Akhin

Satisfiability Modulo Theory (SMT) solvers are foundational to modern systems and programming languages research, providing the foundation for tasks like symbolic execution and automated verification. Because these solvers sit on the…

软件工程 · 计算机科学 2026-04-09 Maolin Sun , Yibiao Yang , Yuming Zhou

Temporal logic specifications play an important role in a wide range of software analysis tasks, such as model checking, automated synthesis, program comprehension, and runtime monitoring. Given a set of positive and negative examples,…

软件工程 · 计算机科学 2025-01-03 Changjian Zhang , Parv Kapoor , Ian Dardik , Leyi Cui , Romulo Meira-Goes , David Garlan , Eunsuk Kang

State-of-the-art SAT solvers are nowadays able to handle huge real-world instances. The key to this success is the so-called Conflict-Driven Clause-Learning (CDCL) scheme, which encompasses a number of techniques that exploit the conflicts…

人工智能 · 计算机科学 2024-02-27 Robert Nieuwenhuis , Albert Oliveras , Enric Rodriguez-Carbonell

LLM serving is increasingly multi-tenant: the same deployment must handle latency-critical interactive requests and more relaxed background workloads under a fixed GPU budget. This creates a tiered-SLO setting where maximizing overall…

分布式、并行与集群计算 · 计算机科学 2026-05-08 Vikranth Srivatsa , Zijian He , Pu Guo , Dongming Li , Yiying Zhang

*** To appear in Theory and Practice of Logic Programming (TPLP) *** Within the context of constraint solving, a portfolio approach allows one to exploit the synergy between different solvers in order to create a globally better solver. In…

人工智能 · 计算机科学 2020-02-19 Roberto Amadini , Maurizio Gabbrielli , Jacopo Mauro

Energy increasingly constrains modern computer hardware, yet protecting computations and data against errors costs energy. This holds at all scales, but especially for the largest parallel computers being built and planned today. As…

数值分析 · 数学 2012-06-08 Patrick G. Bridges , Kurt B. Ferreira , Michael A. Heroux , Mark Hoemmen

Satisfiability Modulo Theory (SMT) has recently emerged as a powerful tool for solving various automated reasoning problems across diverse domains. Unlike traditional satisfiability methods confined to Boolean variables, SMT can reason on…

计算机科学中的逻辑 · 计算机科学 2025-08-14 Arijit Shaw , Uddalok Sarkar , Kuldeep S. Meel

In this paper we propose a set of guidelines to select a solver for the solution of nonlinear programming problems. With this in mind, we present a comparison of the convergence performances of commonly used solvers for both unconstrained…

最优化与控制 · 数学 2024-03-18 Giovanni Lavezzi , Kidus Guye , Marco Ciarcià

In the contexts of automated reasoning and formal verification, important decision problems are effectively encoded into Satisfiability Modulo Theories (SMT). In the last decade efficient SMT solvers have been developed for several theories…

人工智能 · 计算机科学 2012-02-08 Roberto Sebastiani , Silvia Tomasi