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Justification logics are modal-like logics with the additional capability of recording the reason, or justification, for modalities in syntactic structures, called justification terms. Justification logics can be seen as explicit…

Logic in Computer Science · Computer Science 2017-03-08 Samuel Bucheli , Meghdad Ghari , Thomas Studer

The aim of this paper is to show that even if the natural algebraic semantic for modal (normal) logic is modal algebra, the more general class of subordination algebras (roughly speaking, the non symmetric contact algebras) is adequate too…

Logic · Mathematics 2020-06-17 Laurent De Rudder , Georges Hansoul , Valentine Stetenfeld

In this article, we start with a two-player game that models communication under adverse circumstances in everyday life and study it from the perspective of a modal logic of graphs, where links can be deleted locally according to…

Logic in Computer Science · Computer Science 2019-03-06 Dazhu Li

In this paper we introduce {\em global and local announcement logic} (GLAL), a dynamic epistemic logic with two distinct announcement operators -- $[\phi]^+_A$ and $[\phi]^-_A$ indexed to a subset $A$ of the set $Ag$ of all agents -- for…

Logic in Computer Science · Computer Science 2017-07-28 Francesco Belardinelli , Hans van Ditmarsch , Wiebe van der Hoek

Based on methods of structural convergence we provide a unifying view of local-global convergence, fitting to model theory and analysis. The general approach outlined here provides a possibility to extend the theory of local-global…

Combinatorics · Mathematics 2018-10-18 Jaroslav Nesetril , Patrice Ossona de Mendez

Web Service Composition creates new composite Web Services from the collection of existing ones to be composed further and embodies the added values and potential usages of Web Services. Web Service Composition includes two aspects: Web…

Software Engineering · Computer Science 2013-12-04 Yong Wang

This paper from 2008 is the first in a series of three related papers on modal methods in interpretability logics and applications. In this first paper the foundations are laid for later results. These foundations consist of a thorough…

Logic · Mathematics 2020-04-16 Evan Goris , Joost J. Joosten

We introduce proper display calculi for basic monotonic modal logic, the conditional logic CK and a number of their axiomatic extensions. These calculi are sound, complete, conservative and enjoy cut elimination and subformula property. Our…

While LLMs have emerged as performant architectures for reasoning tasks, their compositional generalization capabilities have been questioned. In this work, we introduce a Compositional Generalization Challenge for Graph-based Commonsense…

Computation and Language · Computer Science 2024-10-10 Xiyan Fu , Anette Frank

We offer a lattice-theoretic account of dynamic slicing for {\pi}-calculus, building on prior work in the sequential setting. For any run of a concurrent program, we exhibit a Galois connection relating forward slices of the start…

Programming Languages · Computer Science 2016-10-10 Roly Perera , Deepak Garg , James Cheney

In this paper, we investigate the many-valued version of coalgebraic modal logic through predicate lifting approach. Coalgebras, understood as generic transition systems, can serve as semantic structures for various kinds of modal logics. A…

Logic in Computer Science · Computer Science 2022-06-16 Chun-Yu Lin , Churn-Jung Liau

In this survey, we present in a unified way the categorical and syntactical settings of coherent differentiation introduced recently, which shows that the basic ideas of differential linear logic and of the differential lambda-calculus are…

Logic in Computer Science · Computer Science 2024-01-29 Thomas Ehrhard

Computability logic (CL) (see http://www.cis.upenn.edu/~giorgi/cl.html ) is a research program for redeveloping logic as a formal theory of computability, as opposed to the formal theory of truth which it has more traditionally been.…

Logic in Computer Science · Computer Science 2011-02-08 Giorgi Japaridze

The work is devoted to Computability Logic (CoL) -- the philosophical/mathematical platform and long-term project for redeveloping classical logic after replacing truth} by computability in its underlying semantics (see…

Logic in Computer Science · Computer Science 2012-08-03 Giorgi Japaridze

We propose the use of structured natural language (English) in specifying service choreographies, focusing on the what rather than the how of the required coordination of participant services in realising a business application scenario.…

Software Engineering · Computer Science 2015-12-25 Nurulhuda A. Manaf , Sotiris Moschoyiannis , Paul Krause

Dynamic logic is a powerful approach to reasoning about programs and their executions, obtained by extending classical logic with modalities that can express program executions as formulas. However, the use of dynamic logic in the setting…

Logic in Computer Science · Computer Science 2026-04-14 Matteo Acclavio , Fabrizio Montesi , Marco Peressotti

In this paper hypergraph Lambek calculus ($\mathrm{HL}$) is presented. This formalism aims to generalize the Lambek calculus ($\mathrm{L}$) to hypergraphs as hyperedge replacement grammars extend context-free grammars. In contrast to the…

Logic · Mathematics 2021-03-02 Tikhon Pshenitsyn

In this article, the decidability and computability issues of dynamic probability logic (DPL) are addressed. Firstly, a proof system $\mathcal{H}_{DPL}$ is introduced for DPL and shown that it is weakly complete. Furthermore, this logic has…

Logic in Computer Science · Computer Science 2024-06-25 Somayeh Chopoghloo , Mahdi Heidarpoor , Massoud Pourmahdian

In this paper, we introduce a foundation for computable model theory of rational Pavelka logic (an extension of {\L}ukasiewicz logic) and continuous logic, and prove effective versions of some theorems in model theory. We show how to reduce…

Logic · Mathematics 2010-06-14 Farzad Didehvar , Kaveh Ghasemloo , Massoud Pourmahdian

Data-aware modal logics offer a powerful formalism for reasoning about semi-structured queries in languages such as DataGL, XPath, and GQL. In brief, these logics can be viewed as modal systems capable of expressing both reachability…

Logic in Computer Science · Computer Science 2025-10-03 Carlos Areces , Valentin Cassano , Danae Dutto , Raul Fervari