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The work we describe here is a part of a research program of developing foundations of declarative solving of search problems. We consider the model expansion task as the task representing the essence of search problems where we are given…

Logic in Computer Science · Computer Science 2011-09-06 Shahab Tasharrofi , Xiongnan , Wu , Eugenia Ternovska

We apply Boolean Satisfiability (SAT) and Satisfiability Modulo Theories (SMT) solvers in the context of finding chiral heterotic string models with positive cosmological constant from $\mathbb{Z}_2\times \mathbb{Z}_2$ orbifolds. The power…

High Energy Physics - Theory · Physics 2021-03-17 Alon E. Faraggi , Benjamin Percival , Sven Schewe , Dominik Wojtczak

Nowadays, collaborative modeling performed by multiple stakeholders is gaining a growing interest in both academia and practice. However, it poses a set of research challenges, such as large and complex models management, support for…

Software Engineering · Computer Science 2016-11-09 Mirco Franzago , Davide Di Ruscio , Ivano Malavolta , Henry Muccini

The effects of personnel scheduling on the quality of care and working conditions for healthcare personnel have been thoroughly documented. However, the ever-present demand and large variation of constraints make healthcare scheduling…

Artificial Intelligence · Computer Science 2025-06-03 Alvin Combrink , Stephie Do , Kristofer Bengtsson , Sabino Francesco Roselli , Martin Fabian

A novel parallel algorithm for solving the classical Decision Boolean Satisfiability problem with clauses in conjunctive normal form is depicted. My approach for solving SAT is without using algebra or other computational search strategies…

Data Structures and Algorithms · Computer Science 2018-04-17 Carlos Barrón-Romero

In this short paper we present a survey of some results concerning the random SAT problems. To elaborate, the Boolean Satisfiability (SAT) Problem refers to the problem of determining whether a given set of $m$ Boolean constraints over $n$…

Probability · Mathematics 2023-11-07 Andreas Basse-O'Connor , Tobias Lindhardt Overgaard , Mette Skjøtt

There are a huge number of problems, from various areas, being solved by reducing them to SAT. However, for many applications, translation into SAT is performed by specialized, problem-specific tools. In this paper we describe a new system…

Artificial Intelligence · Computer Science 2015-07-01 Predrag Janicic

The problem of computing Craig Interpolants has recently received a lot of interest. In this paper, we address the problem of efficient generation of interpolants for some important fragments of first order logic, which are amenable for…

Logic in Computer Science · Computer Science 2009-06-25 Alessandro Cimatti , Alberto Griggio , Roberto Sebastiani

Practically all programming languages allow the programmer to split a program into several modules which brings along several advantages in software development. In this paper, we are interested in the area of answer-set programming where…

Logic in Computer Science · Computer Science 2014-01-16 Tomi Janhunen , Emilia Oikarinen , Hans Tompits , Stefan Woltran

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…

Software Engineering · Computer Science 2025-11-14 Shuangyu Lyu , Chuan Luo , Ruizhi Shi , Wei Wu , Chanjuan Liu , Chunming Hu

Checking how well a fitted model explains the data is one of the most fundamental parts of a Bayesian data analysis. However, existing model checking methods suffer from trade-offs between being well-calibrated, automated, and…

Methodology · Statistics 2024-05-24 Jiawei Li , Jonathan H. Huggins

Speculative decoding (SD) accelerates large language model inference by allowing a lightweight draft model to propose outputs that a stronger target model verifies. However, its token-centric nature allows erroneous steps to propagate.…

Computation and Language · Computer Science 2026-04-17 Kiran Purohit , Ramasuri Narayanam , Soumyabrata Pal

In 2006, Biere, Jussila, and Sinz made the key observation that the underlying logic behind algorithms for constructing Reduced, Ordered Binary Decision Diagrams (BDDs) can be encoded as steps in a proof in the extended resolution logical…

Logic in Computer Science · Computer Science 2023-03-29 Randal E. Bryant , Marijn J. H. Heule

Many transfer problems require re-using previously optimal decisions for solving new tasks, which suggests the need for learning algorithms that can modify the mechanisms for choosing certain actions independently of those for choosing…

Machine Learning · Computer Science 2021-07-22 Michael Chang , Sidhant Kaushik , Sergey Levine , Thomas L. Griffiths

This paper addresses the complexity of SAT-based invariant inference, a prominent approach to safety verification. We consider the problem of inferring an inductive invariant of polynomial length given a transition system and a safety…

Programming Languages · Computer Science 2020-01-22 Yotam M. Y. Feldman , Neil Immerman , Mooly Sagiv , Sharon Shoham

To check the satisfiability of (non-linear) real arithmetic formulas, modern satisfiability modulo theories (SMT) solving algorithms like NLSAT depend heavily on single cell construction, the task of generalizing a sample point to a…

Symbolic Computation · Computer Science 2025-12-17 Valentin Promies , Jasper Nalbach , Erika Ábrahám , Paul Wagner

In 2000, I published a relatively comprehensive study of mappings between propositional satisfiability (SAT) and constraint satisfaction problems (CSPs) [Wal00]. I analysed four different mappings of SAT problems into CSPs, and two of CSPs…

Artificial Intelligence · Computer Science 2019-10-02 Toby Walsh

In leading morpho-phonological theories and state-of-the-art text-to-speech systems it is assumed that word pronunciation cannot be learned or performed without in-between analyses at several abstraction levels (e.g., morphological,…

cmp-lg · Computer Science 2007-05-23 Antal van den Bosch , Ton Weijters , Walter Daelemans

The IC3 algorithm represents the state-of-the-art (SOTA) hardware model checking technique, owing to its robust performance and scalability. A significant body of research has focused on enhancing the solving efficiency of the IC3…

Logic in Computer Science · Computer Science 2026-04-24 Xiaofeng Zhou , Guangyu Hu , Hongce Zhang , Wei Zhang

Large language models such as GPT-3 (Brown et al., 2020) can perform arbitrary tasks without undergoing fine-tuning after being prompted with only a few labeled examples. An arbitrary task can be reformulated as a natural language prompt,…

Machine Learning · Computer Science 2023-02-07 Ajay Patel , Bryan Li , Mohammad Sadegh Rasooli , Noah Constant , Colin Raffel , Chris Callison-Burch
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