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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

The Circuit Satisfiability (CSAT) problem, a variant of the Boolean Satisfiability (SAT) problem, plays a critical role in integrated circuit design and verification. However, existing SAT solvers, optimized for Conjunctive Normal Form…

计算机科学中的逻辑 · 计算机科学 2025-07-03 Zhengyuan Shi , Tiebing Tang , Jiaying Zhu , Sadaf Khan , Hui-Ling Zhen , Mingxuan Yuan , Zhufei Chu , Qiang Xu

Maximum Satisfiability (MaxSAT) is a well-known optimization pro- blem, with several practical applications. The most widely known MAXS AT algorithms are ineffective at solving hard problems instances from practical application domains.…

人工智能 · 计算机科学 2007-12-10 Joao Marques-Silva , Jordi Planes

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

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

计算机科学中的逻辑 · 计算机科学 2014-10-23 Roberto Sebastiani , Silvia Tomasi

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

Unbalanced optimal transport (UOT) has been widely used as a fundamental tool in many application domains, where it often dominates the application running time. While many researchers have proposed various optimizations for UOT, few have…

分布式、并行与集群计算 · 计算机科学 2024-12-17 Chengyu Sun , Jinyu Hu , Hong Jiang

We consider the problem of computing numerical invariants of programs by abstract interpretation. Our method eschews two traditional sources of imprecision: (i) the use of widening operators for enforcing convergence within a finite number…

编程语言 · 计算机科学 2015-05-27 Thomas Martin Gawlitza , David Monniaux

#SMT, or model counting for logical theories, is a well-known hard problem that generalizes such tasks as counting the number of satisfying assignments to a Boolean formula and computing the volume of a polytope. In the realm of…

计算机科学中的逻辑 · 计算机科学 2015-10-30 Dmitry Chistikov , Rayna Dimitrova , Rupak Majumdar

This work focuses on effectively generating diverse solutions for satisfiability modulo theories (SMT) formulas, targeting the theories of bit-vectors, arrays, and uninterpreted functions, which is a critical task in software and hardware…

软件工程 · 计算机科学 2025-11-14 Shuangyu Lyu , Chuan Luo , Ruizhi Shi , Wei Wu , Chanjuan Liu , Chunming Hu

We consider the decision problem for quantifier-free formulas whose atoms are linear inequalities interpreted over the reals or rationals. This problem may be decided using satisfiability modulo theory (SMT), using a mixture of a SAT solver…

计算机科学中的逻辑 · 计算机科学 2009-04-23 David Monniaux

SMT solvers have been used successfully as reasoning engines for automated verification and other applications based on automated reasoning. Current techniques for dealing with quantified formulas in SMT are generally incomplete, forcing…

计算机科学中的逻辑 · 计算机科学 2017-06-02 Andrew Reynolds , Cesare Tinelli , Clark Barrett

Satisfiability Modulo Theories (SMT) solvers incorporate decision procedures for theories of data types that commonly occur in software. This makes them important tools for automating verification problems. A limitation frequently…

计算机科学中的逻辑 · 计算机科学 2015-08-28 Kshitij Bansal , Andrew Reynolds , Tim King , Clark Barrett , Thomas Wies

The Conflict-Driven Cylindrical Algebraic Covering algorithm has proven well suited for performing theory validation checks in the satisfiability modulo theories paradigm for non-linear real arithmetic. CDCAC repurposes the theory…

数据结构与算法 · 计算机科学 2026-01-22 Abiola Babatunde , Matthew England , AmirHosein Sadeghimanesh

We consider the problem of solving floating-point constraints obtained from software verification. We present UppSAT --- a new implementation of a systematic approximation refinement framework [ZWR17] as an abstract SMT solver. Provided…

计算机科学中的逻辑 · 计算机科学 2017-12-12 Aleksandar Zeljic , Peter Backeman , Christoph M. Wintersteiger , Philipp Ruemmer

All-Solution Satisfiability (AllSAT) and its extension, All-Solution Satisfiability Modulo Theories (AllSMT), have become more relevant in recent years, mainly in formal verification and artificial intelligence applications. The goal of…

计算机科学中的逻辑 · 计算机科学 2026-05-11 Giuseppe Spallitta , Roberto Sebastiani , Armin Biere

Satisfiability Modulo Theories (SMT) and SAT solvers are critical components in many formal software tools, primarily due to the fact that they are able to easily solve logical problem instances with millions of variables and clauses. This…

计算机科学中的逻辑 · 计算机科学 2021-09-06 Gereon Kremer , Erika Abraham , Vijay Ganesh

Modern software for propositional satisfiability problems gives a powerful automated reasoning toolkit, capable of outputting not only a satisfiable/unsatisfiable signal but also a justification of unsatisfiability in the form of resolution…

Unsatisfiable core analysis can boost the computation of optimum stable models for logic programs with weak constraints. However, current solvers employing unsatisfiable core analysis either run to completion, or provide no suboptimal…

计算机科学中的逻辑 · 计算机科学 2016-08-03 Mario Alviano , Carmine Dodaro

Satisfiability problem (SAT) is a cornerstone of computational complexity with broad industrial applications, and it remains challenging to optimize modern SAT solvers in real-world settings due to their intricate architectures. While…

人工智能 · 计算机科学 2025-07-31 Yiwen Sun , Furong Ye , Zhihan Chen , Ke Wei , Shaowei Cai
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