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First-order linear temporal logic (FOLTL) is a flexible and expressive formalism capable of naturally describing complex behaviors and properties. Although the logic is in general highly undecidable, the idea of using it as a specification…

Logic in Computer Science · Computer Science 2024-05-31 Luca Geatti , Alessandro Gianola , Nicola Gigante

Over the past two decades several fragments of first-order logic have been identified and shown to have good computational and algorithmic properties, to a great extent as a result of appropriately describing the image of the standard…

Logic in Computer Science · Computer Science 2017-03-08 Lidia Tendera

Classical planning representation languages based on first-order logic have preliminarily been used to model and solve robotic task planning problems. Wider adoption of these representation languages, however, is hindered by the limitations…

Artificial Intelligence · Computer Science 2023-11-16 Angeline Aguinaldo , Evan Patterson , James Fairbanks , William Regli , Jaime Ruiz

We present a multi-modal action logic with first-order modalities, which contain terms which can be unified with the terms inside the subsequent formulas and which can be quantified. This makes it possible to handle simultaneously time and…

Artificial Intelligence · Computer Science 2007-05-23 Camilla Schwind

The study of Description Logics have been historically mostly focused on features that can be translated to decidable fragments of first-order logic. In this paper, we leave this restriction behind and look for useful and decidable…

Logic in Computer Science · Computer Science 2023-08-30 Joshua Hirschbrunn , Yevgeny Kazakov

Definite descriptions, such as 'the General Chair of KR 2024', are a semantically transparent device for object identification in knowledge representation. In first-order modal logic, definite descriptions have been widely investigated for…

Logic in Computer Science · Computer Science 2024-09-12 Alessandro Artale , Roman Kontchakov , Andrea Mazzullo , Frank Wolter

In our previous research, we provided a reasoning system (called LeSAC) based on argumentation theory to provide legal support to designers during the design process. Building on this, this paper explores how to provide designers with…

Artificial Intelligence · Computer Science 2024-09-19 Zhe Yu , Yiwei Lu

Whereas the semantics of probabilistic languages has been extensively studied, specification languages for their properties have received less attention -- with the notable exception of recent and on-going efforts by Joost-Pieter Katoen and…

Logic in Computer Science · Computer Science 2024-12-03 Einar Broch Johnsen , Eduard Kamburjan , Raúl Pardo , Erik Voogd , Andrzej Wąsowski

The language of epistemic specifications and epistemic logic programs extends disjunctive logic programs under the stable model semantics with modal constructs called subjective literals. Using subjective literals, it is possible to check…

Artificial Intelligence · Computer Science 2021-10-06 Jorge Fandinno , Wolfgang Faber , Michael Gelfond

A policy describes the conditions under which an action is permitted or forbidden. We show that a fragment of (multi-sorted) first-order logic can be used to represent and reason about policies. Because we use first-order logic, policies…

Logic in Computer Science · Computer Science 2007-05-23 Joseph Y. Halpern , Vicky Weissman

Substantial efforts have been made in developing various Decision Modeling formalisms, both from industry and academia. A challenging problem is that of expressing decision knowledge in the context of incomplete knowledge. In such contexts,…

Artificial Intelligence · Computer Science 2023-12-19 Đorđe Marković , Simon Vandevelde , Linde Vanbesien , Joost Vennekens , Marc Denecker

(To appear in Theory and Practice of Logic Programming (TPLP)) ESmodels is designed and implemented as an experiment platform to investigate the semantics, language, related reasoning algorithms, and possible applications of epistemic…

Artificial Intelligence · Computer Science 2014-05-15 Zhizheng Zhang , Kaikai Zhao

As the interest in Artificial Intelligence continues to grow it is becoming more and more important to investigate formalization and tools that allow us to exploit logic to reason about the world. In particular, given the increasing number…

Artificial Intelligence · Computer Science 2019-09-19 Francesco Fabiano

This paper presents matching logic, a first-order logic (FOL) variant for specifying and reasoning about structure by means of patterns and pattern matching. Its sentences, the patterns, are constructed using variables, symbols, connectives…

Logic in Computer Science · Computer Science 2019-03-14 Grigore Rosu

Natural language understanding applications such as interactive planning and face-to-face translation require extensive inferencing. Many of these inferences are based on the meaning of particular open class words. Providing a…

cmp-lg · Computer Science 2008-02-03 Marc Light , Lenhart Schubert

We propose a hybrid-dynamic first-order logic as a formal foundation for specifying and reasoning about reconfigurable systems. As the name suggests, the formalism we develop extends (many-sorted) first-order logic with features that are…

Logic in Computer Science · Computer Science 2019-05-13 Daniel Găină , Ionuţ Ţuţu

Semantic parsing is the task of obtaining machine-interpretable representations from natural language text. We consider one such formal representation - First-Order Logic (FOL) and explore the capability of neural models in parsing English…

Computation and Language · Computer Science 2020-02-18 Hrituraj Singh , Milan Aggrawal , Balaji Krishnamurthy

Communication within groups of agents has been lately the focus of research in dynamic epistemic logic (DEL). This paper studies a recently introduced form of partial (more precisely, topic-based) communication. This type of communication…

Logic in Computer Science · Computer Science 2023-02-24 Rustam Galimullin , Fernando R. Velázquez-Quesada

We propose a novel logic, called Frame Logic (FL), that extends first-order logic (with recursive definitions) using a construct Sp(.) that captures the implicit supports of formulas -- the precise subset of the universe upon which their…

Logic in Computer Science · Computer Science 2022-09-27 Adithya Murali , Lucas Peña , Christof Löding , P. Madhusudan

Epistemic Planning (EP) refers to an automated planning setting where the agent reasons in the space of knowledge states and tries to find a plan to reach a desirable state from the current state. Its general form, the Multi-agent Epistemic…

Artificial Intelligence · Computer Science 2021-07-20 Francesco Fabiano , Biplav Srivastava , Jonathan Lenchner , Lior Horesh , Francesca Rossi , Marianna Bergamaschi Ganapini