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In the last years, abstract argumentation has met with great success in AI, since it has served to capture several non-monotonic logics for AI. Relations between argumentation framework (AF) semantics and logic programming ones are…

Artificial Intelligence · Computer Science 2020-02-19 Giovanni Amendola , Francesco Ricca

We consider a damped linear hyperbolic system modelling the propagation of pressure waves in a network of pipes. Well-posedness is established via semi-group theory and the existence of a unique steady state is proven in the absence of…

Numerical Analysis · Mathematics 2016-05-11 Herbert Egger , Thomas Kugler

We study context-bounded verification of liveness properties of multi-threaded, shared-memory programs, where each thread can spawn additional threads. Our main result shows that context-bounded fair termination is decidable for the model;…

Formal Languages and Automata Theory · Computer Science 2020-11-13 Pascal Baumann , Rupak Majumdar , Ramanathan S. Thinniyam , Georg Zetzsche

Applications like program synthesis sometimes require proving that a property holds for all of the infinitely many programs described by a grammar - i.e., an inductively defined set of programs. Current verification frameworks…

Programming Languages · Computer Science 2025-07-29 Jinwoo Kim , Shaan Nagy , Thomas Reps , Loris D'Antoni

Nominal algebra includes $\alpha$-equality and freshness constraints on nominal terms endowed with a nominal set semantics that facilitates reasoning about languages with binders. Nominal unification is decidable and unitary, however, its…

Logic in Computer Science · Computer Science 2024-12-18 Ali K. Caires-Santos , Maribel Fernández , Daniele Nantes-Sobrinho

We present a complete reasoning principle for contextual equivalence in an untyped probabilistic language. The language includes continuous (real-valued) random variables, conditionals, and scoring. It also includes recursion, since the…

Programming Languages · Computer Science 2018-07-10 Mitchell Wand , Ryan Culpepper , Theophilos Giannakopoulos , Andrew Cobb

Large Language Models (LLMs) excel in complex reasoning tasks but struggle with consistent rule application, exception handling, and explainability, particularly in domains like legal analysis that require both natural language…

Artificial Intelligence · Computer Science 2025-11-11 Albert Sadowski , Jarosław A. Chudziak

Strong equivalence between knowledge bases ensures the possibility of replacing one with the other without affecting reasoning outcomes, in any given context. This makes it a crucial property in nonmonotonic formalisms. In particular, the…

Artificial Intelligence · Computer Science 2026-05-15 Giovanni Buraglio , Wolfgang Dvorak , Stefan Woltran

We present FAKTA which is a unified framework that integrates various components of a fact checking process: document retrieval from media sources with various types of reliability, stance detection of documents with respect to given…

Computation and Language · Computer Science 2019-06-12 Moin Nadeem , Wei Fang , Brian Xu , Mitra Mohtarami , James Glass

The compactness theorem for a logic states, roughly, that the satisfiability of a set of well-formed formulas can be determined from the satisfiability of its finite subsets, and vice versa. Usually, proofs of this theorem depend on the…

Logic · Mathematics 2025-07-04 Sayantan Roy , Sankha S. Basu , Mihir K. Chakraborty

Static analyses make the increasingly tenuous assumption that all source code is available for analysis; for example, large libraries often call into native code that cannot be analyzed. We propose a points-to analysis that initially makes…

Programming Languages · Computer Science 2017-11-10 Osbert Bastani , Lazaro Clapp , Saswat Anand , Rahul Sharma , Alex Aiken

Coinductive reasoning about infinitary structures such as streams is widely applicable. However, practical frameworks for developing coinductive proofs and finding reasoning principles that help structure such proofs remain a challenge,…

Programming Languages · Computer Science 2020-01-13 Yannick Zakowski , Paul He , Chung-Kil Hur , Steve Zdancewic

Combined modeling and verification of dynamic systems and the data they operate on has gained momentum in AI and in several application domains. We investigate the expressive yet concise framework of data-aware dynamic systems (DDS),…

Logic in Computer Science · Computer Science 2022-03-16 Paolo Felli , Marco Montali , Sarah Winkler

Different notions of equivalence, such as the prominent notions of strong and uniform equivalence, have been studied in Answer-Set Programming, mainly for the purpose of identifying programs that can serve as substitutes without altering…

Artificial Intelligence · Computer Science 2010-06-16 Michael Fink

Recently introduced Petri net-based formalisms advocate the importance of proper representation and management of case objects as well as their co-evolution. In this work we build on top of one of such formalisms and introduce the notion of…

Logic in Computer Science · Computer Science 2022-01-03 Irina A. Lomazova , Alexey A. Mitsyuk , Andrey Rivkin

We present a conceptual framework that unifies a variety of evaluation metrics for different structured prediction tasks (e.g. event and relation extraction, syntactic and semantic parsing). Our framework requires representing the outputs…

Computation and Language · Computer Science 2023-10-24 Yunmo Chen , William Gantt , Tongfei Chen , Aaron Steven White , Benjamin Van Durme

We present a flexible framework for learning predictive models that approximately satisfy the equalized odds notion of fairness. This is achieved by introducing a general discrepancy functional that rigorously quantifies violations of this…

Machine Learning · Statistics 2020-06-09 Yaniv Romano , Stephen Bates , Emmanuel J. Candès

As large language models (LLMs) are increasing integrated into fact-checking pipelines, formal logic is often proposed as a rigorous means by which to mitigate bias, errors and hallucinations in these models' outputs. For example, some…

Computation and Language · Computer Science 2026-04-28 Jason Chan , Robert Gaizauskas , Zhixue Zhao

Events serve as fundamental units of occurrence within various contexts. The processing of event semantics in textual information forms the basis of numerous natural language processing (NLP) applications. Recent studies have begun…

Computation and Language · Computer Science 2023-05-25 Zhengwei Tao , Zhi Jin , Xiaoying Bai , Haiyan Zhao , Yanlin Feng , Jia Li , Wenpeng Hu

In this work, we introduce a modular framework for specifying distributed systems that we call AMECOS. Specifically, our framework departs from the traditional use of sequential specification, which presents limitations both on the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-21 Timothé Albouy , Antonio Fernández Anta , Chryssis Georgiou , Mathieu Gestin , Nicolas Nicolaou , Junlang Wang
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