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In this paper syntactic objects---concept constructors called part restrictions which realize rational grading are considered in Description Logics (DLs). Being able to convey statements about a rational part of a set of successors, part…

Logic in Computer Science · Computer Science 2019-05-27 Mitko Yanchev

Recent work has studied a probabilistic extension of the temporal logic LTL that refines the eventuality (or diamond) constructor with a probability distribution on when will this eventuality be satisfied. In this paper, we adapt this…

Logic in Computer Science · Computer Science 2018-10-04 Alisa Kovtunova , Rafael Peñaloza

We consider here Linear Temporal Logic (LTL) formulas interpreted over \emph{finite} traces. We denote this logic by LTLf. The existing approach for LTLf satisfiability checking is based on a reduction to standard LTL satisfiability…

Logic in Computer Science · Computer Science 2014-03-10 Jianwen Li , Lijun Zhang , Geguang Pu , Moshe Y. Vardi , Jifeng He

Temporal Reasoning (TR) is a critical ability for LLMs to understand and reason over temporal information and relationships between events. To study the TR ability in LLMs, prior works provide different ways for evaluating various aspects…

Computation and Language · Computer Science 2026-01-06 Weizhi Tang , Kwabena Nuamah , Vaishak Belle

This study empirically validates automated logical specification methods for behavioural models, focusing on their robustness, scalability, and reproducibility. By the systematic reproduction and extension of prior results, we confirm key…

Software Engineering · Computer Science 2025-05-26 Radoslaw Klimek , Jakub Semczyszyn

Signal temporal logic (STL) was introduced for monitoring temporal properties of continuous-time signals for continuous and hybrid systems. Differential dynamic logic (dL) was introduced to reason about the end states of a hybrid program.…

Logic in Computer Science · Computer Science 2021-03-17 Hammad Ahmad , Jean-Baptiste Jeannin

We present a new temporal logic called Distribution Temporal Logic (DTL) defined over predicates of belief states and hidden states of partially observable systems. DTL can express properties involving uncertainty and likelihood that cannot…

Systems and Control · Computer Science 2013-10-31 Austin Jones , Mac Schwager , Calin Belta

We present two novel algorithms for learning formulas in Linear Temporal Logic (LTL) from examples. The first learning algorithm reduces the learning task to a series of satisfiability problems in propositional Boolean logic and produces a…

Logic in Computer Science · Computer Science 2018-10-05 Daniel Neider , Ivan Gavran

Many autonomous systems, such as robots and self-driving cars, involve real-time decision making in complex environments, and require prediction of future outcomes from limited data. Moreover, their decisions are increasingly required to be…

Robotics · Computer Science 2021-05-26 Erfan Aasi , Cristian Ioan Vasile , Mahroo Bahreinian , Calin Belta

Automatic synthesis from linear temporal logic (LTL) specifications is widely used in robotic motion planning, control of autonomous systems, and load distribution in power networks. A common specification pattern in such applications…

Logic in Computer Science · Computer Science 2018-04-03 Rayna Dimitrova , Mahsa Ghasemi , Ufuk Topcu

Quantified CTL (QCTL) is a well-studied temporal logic that extends CTL with quantification over atomic propositions. It has recently come to the fore as a powerful intermediary framework to study logics for strategic reasoning. We extend…

Logic in Computer Science · Computer Science 2018-09-05 Raphaël Berthon , Bastien Maubert , Aniello Murano

In the classical synthesis problem, we are given an LTL formula psi over sets of input and output signals, and we synthesize a transducer that realizes psi. One weakness of automated synthesis in practice is that it pays no attention to the…

Logic in Computer Science · Computer Science 2016-08-24 Shaull Almagor , Orna Kupferman

There has been substantial progress in the inference of formal behavioural specifications from sample trajectories, for example, using Linear Temporal Logic (LTL). However, these techniques cannot handle specifications that correctly…

Logic in Computer Science · Computer Science 2025-05-20 Rajarshi Roy , Yash Pote , David Parker , Marta Kwiatkowska

Information discounting plays an important role in the theory of belief functions and, generally, in information fusion. Nevertheless, neither classical uniform discounting nor contextual cannot model certain use cases, notably temporal…

Artificial Intelligence · Computer Science 2013-12-20 Marek Kurdej , Véronique Cherfaoui

Test-time computation has become a primary driver of progress in large language model (LLM) reasoning, but it is increasingly bottlenecked by expensive verification. In many reasoning systems, a large fraction of verifier calls are spent on…

Artificial Intelligence · Computer Science 2026-02-05 Shuhui Qu

Test-time scaling (TTS) has recently emerged as a promising direction to exploit the hidden reasoning capabilities of pre-trained large language models (LLMs). However, existing scaling methods narrowly focus on the compute-optimal…

Performance · Computer Science 2025-09-25 Youpeng Zhao , Jinpeng LV , Di Wu , Jun Wang , Christopher Gooley

Linear temporal logic (LTL) has recently been adopted as a powerful formalism for specifying complex, temporally extended tasks in multi-task reinforcement learning (RL). However, learning policies that efficiently satisfy arbitrary…

Artificial Intelligence · Computer Science 2025-04-01 Mathias Jackermeier , Alessandro Abate

Interval Temporal Logic (ITL) is an established temporal formalism for reasoning about time periods. For over 25 years, it has been applied in a number of ways and several ITL variants, axiom systems and tools have been investigated. We…

Logic in Computer Science · Computer Science 2015-07-01 Ben Moszkowski

We study the expressivity and complexity of model checking linear temporal logic with team semantics (TeamLTL). TeamLTL, despite being a purely modal logic, is capable of defining hyperproperties, i.e., properties which relate multiple…

Logic in Computer Science · Computer Science 2021-11-24 Jonni Virtema , Jana Hofmann , Bernd Finkbeiner , Juha Kontinen , Fan Yang

Large Language Models (LLMs) optimized to output truthful answers often overfit, producing brittle reasoning that fails to generalize. While persuasion-based optimization has shown promise in debate settings, it has not been systematically…

Artificial Intelligence · Computer Science 2025-10-21 Aksel Joonas Reedi , Corentin Léger , Julien Pourcel , Loris Gaven , Perrine Charriau , Guillaume Pourcel