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Complex reasoning aims to draw a correct inference based on complex rules. As a hallmark of human intelligence, it involves a degree of explicit reading comprehension, interpretation of logical knowledge and complex rule application. In…

Computation and Language · Computer Science 2021-08-03 Siyuan Wang , Zhongkun Liu , Wanjun Zhong , Ming Zhou , Zhongyu Wei , Zhumin Chen , Nan Duan

We present a novel approach to automated proof generation for the TLA+ Proof System (TLAPS) using Large Language Models (LLMs). Our method combines two key components: a sub-proof obligation generation phase that breaks down complex proof…

Logic in Computer Science · Computer Science 2025-01-07 Yuhao Zhou

Structural proof theory is praised for being a symbolic approach to reasoning and proofs, in which one can define schemas for reasoning steps and manipulate proofs as a mathematical structure. For this to be possible, proof systems must be…

Logic in Computer Science · Computer Science 2021-08-10 Giselle Reis

Explaining deep learning model inferences is a promising venue for scientific understanding, improving safety, uncovering hidden biases, evaluating fairness, and beyond, as argued by many scholars. One of the principal benefits of…

Machine Learning · Computer Science 2022-03-16 Asma Ghandeharioun , Been Kim , Chun-Liang Li , Brendan Jou , Brian Eoff , Rosalind W. Picard

Modern verification tools for deep neural networks (DNNs) increasingly rely on abstraction to scale to realistic architectures. In parallel, proof production is becoming a critical requirement for increasing the reliability of DNN…

Logic in Computer Science · Computer Science 2025-06-12 Yizhak Yisrael Elboher , Omri Isac , Guy Katz , Tobias Ladner , Haoze Wu

In Knowledge Compilation (KC) a propositional knowledge base is compiled off-line into some target form, typically into deterministic decomposable negation normal form (d-DNNF) or one of its subcases, which is then used on-line to answer a…

Logic in Computer Science · Computer Science 2026-05-26 Gabriele Masina , Emanuele Civini , Massimo Michelutti , Giuseppe Spallitta , Roberto Sebastiani

State-of-the-art algorithms for industrial instances of MaxSAT problem rely on iterative calls to a SAT solver. Preprocessing is crucial for the acceleration of SAT solving, and the key preprocessing techniques rely on the application of…

Artificial Intelligence · Computer Science 2013-10-17 Anton Belov , Antonio Morgado , Joao Marques-Silva

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

We introduce FRAT, a new proof format for unsatisfiable SAT problems, and its associated toolchain. Compared to DRAT, the FRAT format allows solvers to include more information in proofs to reduce the computational cost of subsequent…

Logic in Computer Science · Computer Science 2023-06-22 Seulkee Baek , Mario Carneiro , Marijn J. H. Heule

Much of the recent work on random constraint satisfaction problems has been inspired by ingenious but non-rigorous approaches from physics. The physics predictions typically come in the form of distributional fixed point problems that are…

Probability · Mathematics 2015-10-08 Victor Bapst , Amin Coja-Oghlan

We present a Satisfiability (SAT)-based approach for building Mixed Covering Arrays with Constraints of minimum length, referred to as the Covering Array Number problem. This problem is central in Combinatorial Testing for the detection of…

Artificial Intelligence · Computer Science 2021-05-27 Carlos Ansótegui , Felip Manyà , Jesus Ojeda , Josep M. Salvia , Eduard Torres

We propose a general framework for inconsistency-tolerant query answering within existential rule setting. This framework unifies the main semantics proposed by the state of art and introduces new ones based on cardinality and majority…

Artificial Intelligence · Computer Science 2016-02-19 Jean Francois Baget , Salem Benferhat , Zied Bouraoui , Madalina Croitoru , Marie-Laure Mugnier , Odile Papini , Swan Rocher , Karim Tabia

Argumentation generation has attracted substantial research interest due to its central role in human reasoning and decision-making. However, most existing argumentative corpora focus on non-interactive, single-turn settings, either…

Computation and Language · Computer Science 2026-01-13 Yongkang Liu , Jiayang Yu , Mingyang Wang , Yiqun Zhang , Ercong Nie , Shi Feng , Daling Wang , Kaisong Song , Hinrich Schütze

Large Language Models (LLMs) have significantly advanced automated test generation, yet existing methods often rely on ground-truth code for verification, risking bug propagation and limiting applicability in test-driven development. We…

Software Engineering · Computer Science 2026-02-12 Hamed Taherkhani , Alireza DaghighFarsoodeh , Mohammad Chowdhury , Hung Viet Pham , Hadi Hemmati

In computer science, students are encouraged to learn various programming languages such as Python, C++, and Java, equipping them with a broad range of technical skills and problem-solving capabilities. Nevertheless, the design of objective…

Programming Languages · Computer Science 2026-03-17 Jongwook Si , Sungyoung Kim

The problem of estimating the proportion of satisfiable instances of a given CSP (constraint satisfaction problem) can be tackled through weighting. It consists in putting onto each solution a non-negative real value based on its…

Discrete Mathematics · Computer Science 2015-03-17 Yacine Boufkhad , Thomas Hugel

Current clinical decision support systems (CDSSs) typically base their predictions on correlation, not causation. In recent years, causal machine learning (ML) has emerged as a promising way to improve decision-making with CDSSs by offering…

Human-Computer Interaction · Computer Science 2026-04-17 Domenique Zipperling , Lukas Schmidt , Benedikt Hahn , Niklas Kühl , Steven Kimbrough

Providing explainable and faithful feedback is crucial for automated student answer assessment. In this paper, we introduce a novel framework that explores using ChatGPT, a cutting-edge large language model, for the concurrent tasks of…

Computation and Language · Computer Science 2023-10-25 Jiazheng Li , Lin Gui , Yuxiang Zhou , David West , Cesare Aloisi , Yulan He

Machine learning models that automate decision-making are increasingly used in consequential areas such as loan approvals, pretrial bail approval, and hiring. Unfortunately, most of these models are black boxes, i.e., they are unable to…

Artificial Intelligence · Computer Science 2024-05-28 Sopam Dasgupta , Joaquín Arias , Elmer Salazar , Gopal Gupta

Conflict management is still an open issue in the application of Dempster Shafer evidence theory. A lot of works have been presented to address this issue. In this paper, a new theory, called as generalized evidence theory (GET), is…

Artificial Intelligence · Computer Science 2014-04-21 Yong Deng