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The solution-space structure of the 3-Satisfiability Problem (3-SAT) is studied as a function of the control parameter alpha (ratio of number of clauses to the number of variables) using numerical simulations. For this purpose, one has to…

Disordered Systems and Neural Networks · Physics 2015-05-18 Alexander Mann , A. K. Hartmann

In this paper we combine Answer Set Programming (ASP) with Dynamic Linear Time Temporal Logic (DLTL) to define a temporal logic programming language for reasoning about complex actions and infinite computations. DLTL extends propositional…

Artificial Intelligence · Computer Science 2011-10-18 Laura Giordano , Alberto Martelli , Daniele Theseider Dupré

We propose answer-set programs that specify and compute counterfactual interventions as a basis for causality-based explanations to decisions produced by classification models. They can be applied with black-box models and models that can…

Machine Learning · Computer Science 2020-06-17 Leopoldo Bertossi

Answer Set Programming (ASP) emerged in the late 1990ies as a paradigm for Knowledge Representation and Reasoning. The attractiveness of ASP builds on an expressive high-level modeling language along with the availability of powerful…

Artificial Intelligence · Computer Science 2021-09-20 Mario Alviano , Wolfgang Faber , Martin Gebser

The local search algorithm WSat is one of the most successful algorithms for solving the satisfiability (SAT) problem. It is notably effective at solving hard Random 3-SAT instances near the so-called `satisfiability threshold', but still…

Artificial Intelligence · Computer Science 2011-06-02 I. P. Gent , J. Singer , A. Smaill

Answer Set Programming (ASP) is a well-established formalism for nonmonotonic reasoning. An ASP program can have no answer set due to cyclic default negation. In this case, it is not possible to draw any conclusion, even if this is not…

Logic in Computer Science · Computer Science 2017-07-24 Giovanni Amendola , Carmine Dodaro , Wolfgang Faber , Nicola Leone , Francesco Ricca

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…

Artificial Intelligence · Computer Science 2023-06-13 Jiong Yang , Arijit Shaw , Teodora Baluta , Mate Soos , Kuldeep S. Meel

While quantum computers assume existence of state preparation process $|0\rangle$, CPT symmetry of physics says that performing such process in CPT symmetry perspective, e.g. reversing used EM impulses ($V(t)\to V(-t)$), we should get its…

General Physics · Physics 2024-08-13 Jarek Duda

We present here a new explicit reasoning framework for linear temporal logic (LTL), which is built on top of propositional satisfiability (SAT) solving. As a proof-of-concept of this framework, we describe a new LTL satisfiability tool,…

Logic in Computer Science · Computer Science 2015-12-08 Jianwen Li , Shufang Zhu , Geguang Pu , Moshe Vardi

Automated fact-checking (AFC) still falters on claims that are time-sensitive, entity-ambiguous, or buried beneath noisy search-engine results. We present PASS-FC, a Progressive and Adaptive Search Scheme for Fact Checking. Each atomic…

Computation and Language · Computer Science 2025-05-27 Ziyu Zhuang

We propose Differentiable Satisfiability and Differentiable Answer Set Programming (Differentiable SAT/ASP) for multi-model optimization. Models (answer sets or satisfying truth assignments) are sampled using a novel SAT/ASP solving…

Artificial Intelligence · Computer Science 2019-01-01 Matthias Nickles

Answer set programming (ASP) is a well-established logic programming language that offers an intuitive, declarative syntax for problem solving. In its traditional application, a fixed ASP program for a given problem is designed and the…

Artificial Intelligence · Computer Science 2016-08-08 Manuel Bichler , Michael Morak , Stefan Woltran

Sentence Ordering refers to the task of rearranging a set of sentences into the appropriate coherent order. For this task, most previous approaches have explored global context-based end-to-end methods using Sequence Generation techniques.…

Computation and Language · Computer Science 2022-08-23 Ruskin Raj Manku , Aditya Jyoti Paul

Boolean Satisfiability Problem (SAT) is one of the core problems in computer science. As one of the fundamental NP-complete problems, it can be used - by known reductions - to represent instances of variety of hard decision problems.…

Data Structures and Algorithms · Computer Science 2019-11-05 Michał Karpiński

Optimization problems such as the NP-complete 3-SAT provide an important benchmark for the difficult task of finding ground-states in strongly correlated many-body systems with rugged energy landscapes. The study of random 3-SAT problems as…

Statistical Mechanics · Physics 2026-05-21 J. Schwardt , J. C. Budich

Answer Set Programming (ASP) is logic programming under the stable model or answer set semantics. During the last decade, this paradigm has seen several extensions by generalizing the notion of atom used in these programs. Among these,…

Artificial Intelligence · Computer Science 2014-05-07 Mario Alviano , Wolfgang Faber

Existing propositions often rely on logical constants for classification. Compared with Western languages that lean towards hypotaxis such as English, Chinese often relies on semantic or logical understanding rather than logical connectives…

Computation and Language · Computer Science 2023-09-19 Conghui Niu , Mengyang Hu , Lin Bo , Xiaoli He , Dong Yu , Pengyuan Liu

MaxSAT modulo theories (MaxSMT) is an important generalization of Satisfiability modulo theories (SMT) with various applications. In this paper, we focus on MaxSMT with the background theory of Linear Integer Arithmetic, denoted as…

Symbolic Computation · Computer Science 2024-06-25 Xiang He , Bohan Li , Mengyu Zhao , Shaowei Cai

This technical report describes the usage, syntax, semantics and core algorithms of the probabilistic inductive logic programming framework PrASP. PrASP is a research software which integrates non-monotonic reasoning based on Answer Set…

Artificial Intelligence · Computer Science 2017-01-02 Matthias Nickles

We introduce Concurrent NetKAT (CNetKAT), an extension of NetKAT with operators for specifying and reasoning about concurrency in scenarios where multiple packets interact through state. We provide a model of the language based on…

Programming Languages · Computer Science 2023-02-03 Jana Wagemaker , Nate Foster , Tobias Kappé , Dexter Kozen , Jurriaan Rot , Alexandra Silva
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