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Temporal reasoning in dynamic, data-intensive environments increasingly demands expressive yet tractable logical frameworks. Traditional approaches often rely on negation to express absence or contradiction. In such contexts,…

Logic in Computer Science · Computer Science 2025-09-15 Mathijs van Noort , Femke Ongenae , Pieter Bonte

We present a first-order linear-time temporal logic for reasoning about the evolution of directed graphs. Its semantics is based on the counterpart paradigm, thus allowing our logic to represent the creation, duplication, merging, and…

Logic in Computer Science · Computer Science 2023-05-09 Fabio Gadducci , Andrea Laretto , Davide Trotta

Writing temporal logic formulae for properties that combine instantaneous events with overlapping temporal phenomena of some duration is difficult in classical temporal logics. To address this issue, in previous work we introduced a new…

Logic in Computer Science · Computer Science 2023-10-03 Manolis Pitsikalis , Alexei Lisitsa , Patrick Totzke

Symbolic learning represents the most straightforward approach to interpretable modeling, but its applications have been hampered by a single structural design choice: the adoption of propositional logic as the underlying language.…

Machine Learning · Computer Science 2021-09-20 Giovanni Pagliarini , Guido Sciavicco

Several queries and scores have recently been proposed to explain individual predictions over ML models. Given the need for flexible, reliable, and easy-to-apply interpretability methods for ML models, we foresee the need for developing…

Artificial Intelligence · Computer Science 2021-11-16 Marcelo Arenas , Daniel Baez , Pablo Barceló , Jorge Pérez , Bernardo Subercaseaux

We study decidability of verification problems for timed automata extended with unbounded discrete data structures. More detailed, we extend timed automata with a pushdown stack. In this way, we obtain a strong model that may for instance…

Logic in Computer Science · Computer Science 2017-01-11 Karin Quaas

Regular cost functions have been introduced recently as an extension to the notion of regular languages with counting capabilities, which retains strong closure, equivalence, and decidability properties. The specificity of cost functions is…

Logic in Computer Science · Computer Science 2017-02-09 Denis Kuperberg

In this paper we extend the predicate logic introduced in [Beauquier et al. 2002] in order to deal with Semi-Markov Processes. We prove that with respect to qualitative probabilistic properties, model checking is decidable for this logic…

Logic in Computer Science · Computer Science 2007-05-23 Ruggero Lanotte , Daniele Beauquier

We introduce Temporal Ensemble Logic (TEL), a monadic, first-order modal logic for linear-time temporal reasoning. TEL includes primitive temporal constructs such as ``always up to $t$ time later'' ($\Box_t$), ``sometimes before $t$ time in…

Logic in Computer Science · Computer Science 2024-09-02 Guo-Qiang Zhang

The two major systems of formal verification are model checking and algebraic model-based testing. Model checking is based on some form of temporal logic such as linear temporal logic (LTL) or computation tree logic (CTL). One powerful and…

Logic in Computer Science · Computer Science 2019-01-31 Stefan D. Bruda , Sunita Singh , A. F. M. Nokib Uddin , Zhiyu Zhang , Rui Zuo

Predicting the future is of great interest across many aspects of human activity. Businesses are interested in future trends, traders are interested in future stock prices, and companies are highly interested in future technological…

Computation and Language · Computer Science 2024-04-17 Changmao Li , Jeffrey Flanigan

Since the introduction of Alternating-time Temporal Logic (ATL), many logics have been proposed to reason about different strategic capabilities of the agents of a system. In particular, some logics have been designed to reason about the…

Logic in Computer Science · Computer Science 2017-09-08 Simon Busard , Charles Pecheur

Extensions of Answer Set Programming with language constructs from temporal logics, such as temporal equilibrium logic over finite traces (TELf), provide an expressive computational framework for modeling dynamic applications. In this…

Artificial Intelligence · Computer Science 2024-01-23 Pedro Cabalar , Martín Diéguez , François Laferrière , Torsten Schaub

We study several extensions of linear-time and computation-tree temporal logics with quantifiers that allow for counting how often certain properties hold. For most of these extensions, the model-checking problem is undecidable, but we show…

Logic in Computer Science · Computer Science 2017-06-28 Normann Decker , Peter Habermehl , Martin Leucker , Arnaud Sangnier , Daniel Thoma

Floyd's Operator Precedence (OP) languages are a deterministic context-free family having many desirable properties. They are locally and parallely parsable, and languages having a compatible structure are closed under Boolean operations,…

Formal Languages and Automata Theory · Computer Science 2017-08-23 Stefano Crespi Reghizzi , Matteo Pradella

Temporal logic rules are often used in control and robotics to provide structured, human-interpretable descriptions of trajectory data. These rules have numerous applications including safety validation using formal methods, constraining…

Machine Learning · Computer Science 2025-04-29 Emi Soroka , Rohan Sinha , Sanjay Lall

We study the generalization abilities of language models when translating natural language into formal specifications with complex semantics. In particular, we fine-tune language models on three datasets consisting of English sentences and…

Software Engineering · Computer Science 2022-10-21 Christopher Hahn , Frederik Schmitt , Julia J. Tillman , Niklas Metzger , Julian Siber , Bernd Finkbeiner

We investigate the decidability of model-checking logics of time, knowledge and probability, with respect to two epistemic semantics: the clock and synchronous perfect recall semantics in partially observed discrete-time Markov chains.…

Logic in Computer Science · Computer Science 2016-06-29 R van der Meyden , M K Patra

We investigate the decidability of model-checking logics of time, knowledge and probability, with respect to two epistemic semantics: the clock and synchronous perfect recall semantics in partially observed discrete-time Markov chains.…

Logic in Computer Science · Computer Science 2015-11-11 Ron van der Meyden , Manas K. Patra

We consider modeling the conception of knowledge in terms of temporal logic. The study of knowledge logical operations is originated around 1962 by representation of knowledge and belief using modalities. Nowadays, it is very good…

Logic in Computer Science · Computer Science 2014-05-06 Vladimir Rybakov
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