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This article surveys some of the recent work in verification of temporal epistemic logic via symbolic model checking, focusing on OBDD-based and SAT-based approaches for epistemic logics built on discrete and real-time branching time…

Logic in Computer Science · Computer Science 2007-09-05 Alessio Lomuscio , Wojciech Penczek

In a temporal graph, each edge is available at specific points in time. Such an availability point is often represented by a ''temporal edge'' that can be traversed from its tail only at a specific departure time, for arriving in its head…

Data Structures and Algorithms · Computer Science 2023-01-31 Filippo Brunelli , Laurent Viennot

The paper presents an extension of temporal epistemic logic with operators that quantify over strategies. The language also provides a natural way to represent what agents would know were they to be aware of the strategies being used by…

Logic in Computer Science · Computer Science 2014-04-04 Xiaowei Huang , Ron van der Meyden

Given a static vertex-selection problem (e.g. independent set, dominating set) on a graph, we can define a corresponding temporally satisfying reconfiguration problem on a temporal graph which asks for a sequence of solutions to the…

Data Structures and Algorithms · Computer Science 2025-09-22 Tom Davot , Jessica Enright , Laura Larios-Jones

Tasks that model the relation between pairs of tokens in a string are a vital part of understanding natural language. Such tasks, in general, require exhaustive pair-wise comparisons of tokens, thus having a quadratic runtime complexity in…

Computation and Language · Computer Science 2023-12-13 Tianyu Liu , Afra Amini , Mrinmaya Sachan , Ryan Cotterell

Spatial aspects of computation are becoming increasingly relevant in Computer Science, especially in the field of collective adaptive systems and when dealing with systems distributed in physical space. Traditional formal verification…

Logic in Computer Science · Computer Science 2019-03-14 Vincenzo Ciancia , Diego Latella , Michele Loreti , Mieke Massink

We present a logic named L_{LF} whose intended use is to formalize properties of specifications developed in the dependently typed lambda calculus LF. The logic is parameterized by the LF signature that constitutes the specification. Atomic…

Logic in Computer Science · Computer Science 2022-04-12 Gopalan Nadathur , Mary Southern

This paper seeks to apply categorical logic to the design of artificial intelligent agents that reason symbolically about objects more richly structured than sets. Using Johnstone's sequent calculus of terms- and formulae-in-context, we…

Artificial Intelligence · Computer Science 2025-04-29 Ralph Wojtowicz

Our understanding about things is conceptual. By stating that we reason about objects, it is in fact not the objects but concepts referring to them that we manipulate. Now, so long just as we acknowledge infinitely extending notions such as…

Artificial Intelligence · Computer Science 2015-04-21 Ryuta Arisaka

We present a form of algebraic reasoning for computational objects which are expressed as graphs. Edges describe the flow of data between primitive operations which are represented by vertices. These graphs have an interface made of…

Logic in Computer Science · Computer Science 2010-07-23 Lucas Dixon , Ross Duncan , Aleks Kissinger

A logical model of spatiotemporal structures is pictured as a succession of processes in time. One usual way to formalize time structure is to assume the global existence of time points and then collect some of them to form time intervals…

Logic · Mathematics 2009-11-13 Kenji Tokuo

Combining ideas from distributed algorithms and alternating automata, we introduce a new class of finite graph automata that recognize precisely the languages of finite graphs definable in monadic second-order logic. By restricting…

Formal Languages and Automata Theory · Computer Science 2018-07-03 Fabian Reiter

Counterfactual explanations are one of the prominent eXplainable Artificial Intelligence (XAI) techniques, and suggest changes to input data that could alter predictions, leading to more favourable outcomes. Existing counterfactual methods…

Artificial Intelligence · Computer Science 2025-05-22 Andrei Buliga , Chiara Di Francescomarino , Chiara Ghidini , Marco Montali , Massimiliano Ronzani

We investigate ontology-based data access to temporal data. We consider temporal ontologies given in linear temporal logic LTL interpreted over discrete time (Z,<). Queries are given in LTL or MFO(<), monadic first-order logic with a…

Logic in Computer Science · Computer Science 2021-05-26 Alessandro Artale , Roman Kontchakov , Alisa Kovtunova , Vladislav Ryzhikov , Frank Wolter , Michael Zakharyaschev

In this paper we propose a many-valued temporal conditional logic. We start from a many-valued logic with typicality, and extend it with the temporal operators of the Linear Time Temporal Logic (LTL), thus providing a formalism which is…

Logic in Computer Science · Computer Science 2024-09-17 Mario Alviano , Laura Giordano , Daniele Theseider Dupré

We develop team semantics for Linear Temporal Logic (LTL) to express hyperproperties, which have recently been identified as a key concept in the verification of information flow properties. Conceptually, we consider an asynchronous and a…

Logic in Computer Science · Computer Science 2018-06-26 Andreas Krebs , Arne Meier , Jonni Virtema , Martin Zimmermann

We consider two graph models of semantic change. The first is a time-series model that relates embedding vectors from one time period to embedding vectors of previous time periods. In the second, we construct one graph for each word: nodes…

Computation and Language · Computer Science 2017-04-11 Steffen Eger , Alexander Mehler

Different theorem provers tend to produce proof objects in different formats and this is especially the case for modal logics, where several deductive formalisms (and provers based on them) have been presented. This work falls within the…

Logic in Computer Science · Computer Science 2016-09-15 Tomer Libal , Marco Volpe

This paper presents the first use of graph neural networks (GNNs) for higher-order proof search and demonstrates that GNNs can improve upon state-of-the-art results in this domain. Interactive, higher-order theorem provers allow for the…

Machine Learning · Computer Science 2019-09-16 Aditya Paliwal , Sarah Loos , Markus Rabe , Kshitij Bansal , Christian Szegedy

The complexity class NP of decision problems that can be solved nondeterministically in polynomial time is of great theoretical and practical importance where the notion of polynomial-time reductions between NP-problems is a key concept for…

Computational Complexity · Computer Science 2022-12-23 Hans-Jörg Kreowski , Sabine Kuske , Aaron Lye , Aljoscha Windhorst