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A set $F$ of formulas is complete relative to a given class of logics, if every logic from this class can be axiomatized by formulas from $F$. A set of formulas $F$ is {\L}-complete relative to a given class of logics, if every logic of…

逻辑 · 数学 2014-07-23 Alex Citkin

Reusing ontologies in practice is still very challenging, especially when multiple ontologies are (jointly) involved. Moreover, despite recent advances, the realization of systematic ontology quality assurance remains a difficult problem.…

Termination is a central property in sequential programming models: a term is terminating if all its reduction sequences are finite. Termination is also important in concurrency in general, and for message-passing programs in particular. A…

计算机科学中的逻辑 · 计算机科学 2023-08-03 Joseph W. N. Paulus , Jorge A. Pérez , Daniele Nantes-Sobrinho

A qualitative account is given of a differential pursuit/evasion game. A criterion for the existence of an intercept solution is obtained using future cones that contain all attainable trajectories of target or interceptor originating from…

最优化与控制 · 数学 2015-05-13 John A. Morgan

Conditional question answering (CQA) is an important task that aims to find probable answers and identify missing conditions. Existing approaches struggle with CQA due to two challenges: (1) precisely identifying necessary conditions and…

计算与语言 · 计算机科学 2024-10-07 Jiuheng Lin , Yuxuan Lai , Yansong Feng

A principled approach to cyclicality and intransitivity in paired comparison data is developed. The proposed methodology enables more precise estimation of the underlying preference profile and facilitates the identification of all cyclic…

统计方法学 · 统计学 2025-10-08 Rahul Singh , Ori Davidov

Algorithms for learning database queries from examples and unique characterisations of queries by examples are prominent starting points for developing automated support for query construction and explanation. We investigate how far recent…

人工智能 · 计算机科学 2024-07-30 Jean Christoph Jung , Vladislav Ryzhikov , Frank Wolter , Michael Zakharyaschev

We report on the development of an optimized and verified decision procedure for orthologic equalities and inequalities. This decision procedure is quadratic-time and is used as a sound, efficient and predictable approximation to classical…

计算机科学中的逻辑 · 计算机科学 2025-02-05 Simon Guilloud , Clément Pit-Claudel

Model theoretic results such as Characterization and Definability give important information about different logics. It is well known that the proofs of those results for several modal logics have, somehow, the same 'taste'. A general proof…

计算机科学中的逻辑 · 计算机科学 2010-11-23 Facundo Carreiro

Infinitary and cyclic proof systems are proof systems for logical formulas with fixed-point operators or inductive definitions. A cyclic proof system is a restriction of the corresponding infinitary proof system. Hence, these proof systems…

计算机科学中的逻辑 · 计算机科学 2024-10-30 Hiromasa Hori , Koji Nakazawa , Makoto Tatsuta

Linearizability is a commonly accepted notion of correctness for libraries of concurrent algorithms, and recent years have seen a number of proposals of program logics for proving it. Although these logics differ in technical details, they…

编程语言 · 计算机科学 2016-09-06 Artem Khyzha , Alexey Gotsman , Matthew Parkinson

Query answering under existential rules -- implications with existential quantifiers in the head -- is known to be decidable when imposing restrictions on the rule bodies such as frontier-guardedness [BLM10, BLMS11]. Query answering is also…

数据库 · 计算机科学 2019-08-28 Antoine Amarilli , Michael Benedikt

Principles of analogical reasoning have recently been applied in the context of machine learning, for example to develop new methods for classification and preference learning. In this paper, we argue that, while analogical reasoning is…

机器学习 · 计算机科学 2020-05-27 Eyke Hüllermeier

Efficiency and scalability are obstacles that have not yet received a viable response from the human activity recognition research community. This paper proposes an activity recognition method. The knowledge model is in the form of…

人机交互 · 计算机科学 2021-09-08 Pouya Foudeh , Naomie Salim

In settings from fact-checking to question answering, we frequently want to know whether a collection of evidence (premises) entails a hypothesis. Existing methods primarily focus on the end-to-end discriminative version of this task, but…

计算与语言 · 计算机科学 2022-10-31 Kaj Bostrom , Zayne Sprague , Swarat Chaudhuri , Greg Durrett

We investigate the position that foundational theories should be modelled on ordinary computability. In this context, we investigate the metamathematics of $\Sigma$ formulas. We consider theories whose axioms are implications between…

逻辑 · 数学 2017-07-25 Andre Kornell

When reasoning in description, modal or temporal logics it is often useful to consider axioms representing universal truths in the domain of discourse. Reasoning with respect to an arbitrary set of axioms is hard, even for relatively…

计算机科学中的逻辑 · 计算机科学 2007-05-23 Ian Horrocks , Stephan Tobies

In this paper, we propose the use of epistemic dependencies to express data protection policies in Controlled Query Evaluation (CQE), which is a form of confidentiality-preserving query answering over ontologies and databases. The resulting…

人工智能 · 计算机科学 2024-05-07 Gianluca Cima , Domenico Lembo , Lorenzo Marconi , Riccardo Rosati , Domenico Fabio Savo

We report on the mechanization of (preference-based) conditional normative reasoning. Our focus is on Aqvist's system E for conditional obligation, and its extensions. Our mechanization is achieved via a shallow semantical embedding in…

计算机科学中的逻辑 · 计算机科学 2024-07-09 Xavier Parent , Christoph Benzmüller

The proliferation of contextualized knowledge in the Semantic Web (SW) has led to the popularity of knowledge formats such as \emph{quads} in the SW community. A quad is an extension of an RDF triple with contextual information of the…

数据库 · 计算机科学 2015-12-15 Mathew Joseph , Gabriel Kuper , Till Mossakowski , Luciano Serafini