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In the article \The State of SAT", the authors asked whether a procedure dramatically different from DPLL can be found for handling unsatisfiable instances. This study proposes a new linear programming approach to address this issue…

Computational Complexity · Computer Science 2018-08-20 Chengling Fang , Jiang Liu

MaxSAT, the optimization version of the well-known SAT problem, has attracted a lot of research interest in the last decade. Motivated by the many important applications and inspired by the success of modern SAT solvers, researchers have…

Logic in Computer Science · Computer Science 2021-07-14 Javier Larrosa , Emma Rollon

Predicate abstraction is a key enabling technology for applying finite-state model checkers to programs written in mainstream languages. It has been used very successfully for debugging sequential system-level C code. Although model…

Programming Languages · Computer Science 2015-03-18 Alastair Donaldson , Alexander Kaiser , Daniel Kroening , Thomas Wahl

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…

Artificial Intelligence · Computer Science 2024-11-13 Konstantin Sidorov , Koos van der Linden , Gonçalo Homem de Almeida Correia , Mathijs de Weerdt , Emir Demirović

Sample-average approximations (SAA) are a practical means of finding approximate solutions of stochastic programming problems involving an extremely large (or infinite) number of scenarios. SAA can also be used to find estimates of a lower…

Other Statistics · Statistics 2014-05-08 Jiajie Chen , Cong Han Lim , Peter Z. G. Qian , Jeff Linderoth , Stephen J. Wright

Self-training methods have been explored in recent years and have exhibited great performance in improving semi-supervised learning. This work presents a Simple instance-Adaptive self-Training method (SAT) for semi-supervised text…

Computation and Language · Computer Science 2022-10-25 Hui Chen , Wei Han , Soujanya Poria

Modern Systems-on-Chip (SoC) designs are increasingly heterogeneous and contain specialized semi-programmable accelerators in addition to programmable processors. In contrast to the pre-accelerator era, when the ISA played an important role…

Hardware Architecture · Computer Science 2019-01-29 Bo-Yuan Huang , Hongce Zhang , Pramod Subramanyan , Yakir Vizel , Aarti Gupta , Sharad Malik

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…

Machine Learning · Computer Science 2024-10-22 Christopher R. Serrano , Jonathan Gallagher , Kenji Yamada , Alexei Kopylov , Michael A. Warren

We analyse how the standard reductions between constraint satisfaction problems affect their proof complexity. We show that, for the most studied propositional, algebraic, and semi-algebraic proof systems, the classical constructions of…

Computational Complexity · Computer Science 2018-09-26 Albert Atserias , Joanna Ochremiak

Recently, data abstraction has been studied in the context of separation logic, with noticeable practical successes: the developed logics have enabled clean proofs of tricky challenging programs, such as subject-observer patterns, and they…

Programming Languages · Computer Science 2015-07-01 Jacob Thamsborg , Lars Birkedal , Hongseok Yang

We present a novel approach for generalizing the IC3 algorithm for invariant checking from finite-state to infinite-state transition systems, expressed over some background theories. The procedure is based on a tight integration of IC3 with…

Logic in Computer Science · Computer Science 2013-10-28 Alessandro Cimatti , Alberto Griggio , Sergio Mover , Stefano Tonetta

Trustworthy AI requires reasoning systems that are not only powerful but also transparent and reliable. Automated Theorem Proving (ATP) is central to formal reasoning, yet classical binary resolution remains limited, as each step involves…

Logic in Computer Science · Computer Science 2025-09-10 Yang Xu , Shuwei Chen , Xiaomei Zhong , Jun Liu , Xingxing He

Incremental SAT and QBF solving potentially yields improvements when sequences of related formulas are solved. An incremental application is usually tailored towards some specific solver and decomposes a problem into incremental solver…

Logic in Computer Science · Computer Science 2015-12-04 Uwe Egly , Florian Lonsing , Johannes Oetsch

Our recently proposed certification framework for bit-level k-induction-based model checking has been shown to be quite effective in increasing the trust of verification results even though it partially involved quantifier reasoning. In…

Logic in Computer Science · Computer Science 2022-08-03 Emily Yu , Nils Froleyks , Armin Biere , Keijo Heljanko

We present ABEX, a novel and effective generative data augmentation methodology for low-resource Natural Language Understanding (NLU) tasks. ABEX is based on ABstract-and-EXpand, a novel paradigm for generating diverse forms of an input…

Computation and Language · Computer Science 2024-06-07 Sreyan Ghosh , Utkarsh Tyagi , Sonal Kumar , C. K. Evuru , S Ramaneswaran , S Sakshi , Dinesh Manocha

The lambda calculus since more than half a century is a model and foundation of functional programming languages. However, lambda expressions can be evaluated with different reduction strategies and thus, there is no fixed cost model nor…

Programming Languages · Computer Science 2024-05-22 Tomasz Drab

We investigate a new training paradigm for extractive summarization. Traditionally, human abstracts are used to derive goldstandard labels for extraction units. However, the labels are often inaccurate, because human abstracts and source…

Computation and Language · Computer Science 2018-06-22 Kristjan Arumae , Fei Liu

In this paper, by constructing extremely hard examples of CSP (with large domains) and SAT (with long clauses), we prove that such examples cannot be solved without exhaustive search, which is stronger than P $\neq$ NP. This constructive…

Computational Complexity · Computer Science 2025-07-08 Ke Xu , Guangyan Zhou

Complex Evidence Theory (CET), an extension of the traditional D-S evidence theory, has garnered academic interest for its capacity to articulate uncertainty through Complex Basic Belief Assignment (CBBA) and to perform uncertainty…

Information Theory · Computer Science 2024-06-11 Keming Wu , Fuyuan Xiao , Yi Zhang

This paper discusses the problem of abstracting conditional probabilistic actions. We identify two distinct types of abstraction: intra-action abstraction and inter-action abstraction. We define what it means for the abstraction of an…

Artificial Intelligence · Computer Science 2013-02-28 Peter Haddawy , AnHai Doan
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