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This work is devoted to the formal verification of specifications over general discrete-time Markov processes, with an emphasis on infinite-horizon properties. These properties, formulated in a modal logic known as PCTL, can be expressed…

Optimization and Control · Mathematics 2014-07-23 Ilya Tkachev , Alessandro Abate

This paper presents the first model-checking algorithm for an expressive modal mu-calculus over timed automata, $L^{\mathit{rel}, \mathit{af}}_{\nu,\mu}$, and reports performance results for an implementation. This mu-calculus contains…

Formal Languages and Automata Theory · Computer Science 2014-08-29 Peter Fontana , Rance Cleaveland

Model Checking is widely applied in verifying the correctness of complex and concurrent systems against a specification. Pure symbolic approaches while popular, suffer from the state space explosion problem due to cross product operations…

Logic in Computer Science · Computer Science 2023-08-28 Prasita Mukherjee , Haoteng Yin

Model checking approaches can be divided into two broad categories: global approaches that determine the set of all states in a model M that satisfy a temporal logic formula f, and local approaches in which, given a state s in M, the…

Logic in Computer Science · Computer Science 2014-10-29 Diego Latella , Michele Loreti , Mieke Massink

Hidden Markov Models (HMMs) are foundational tools for modeling sequential data with latent Markovian structure, yet fitting them to real-world data remains computationally challenging. In this work, we show that pre-trained large language…

Machine Learning · Computer Science 2026-04-27 Yijia Dai , Zhaolin Gao , Yahya Sattar , Sarah Dean , Jennifer J. Sun

Metric Temporal Logic (MTL) and Timed Propositional Temporal Logic (TPTL) are prominent real-time extensions of Linear Temporal Logic (LTL). In general, the satisfiability checking problem for these extensions is undecidable when both the…

Logic in Computer Science · Computer Science 2021-09-07 Shankara Narayanan Krishna , Khushraj Madnani , Manuel Mazo , Paritosh K. Pandya

We study the satisfiability and model-checking problems for timed hyperproperties specified with HyperMTL, a timed extension of HyperLTL. Depending on whether interleaving of events in different traces is allowed, two possible semantics can…

Logic in Computer Science · Computer Science 2018-12-27 Hsi-Ming Ho , Ruoyu Zhou , Timothy M. Jones

In spatially located, large scale systems, time and space dynamics interact and drives the behaviour. Examples of such systems can be found in many smart city applications and Cyber-Physical Systems. In this paper we present the Signal…

Logic in Computer Science · Computer Science 2023-06-22 L. Nenzi , L. Bortolussi , V. Ciancia , M. Loreti , M. Massink

Large Language Models (LLMs) have emerged as a promising paradigm for time series analytics, leveraging their massive parameters and the shared sequential nature of textual and time series data. However, a cross-modality gap exists between…

Machine Learning · Computer Science 2025-07-16 Chenxi Liu , Hao Miao , Cheng Long , Yan Zhao , Ziyue Li , Panos Kalnis

This paper presents a range of quantitative extensions for the temporal logic CTL. We enhance temporal modalities with the ability to constrain the number of states satisfying certain sub-formulas along paths. By selecting the combinations…

Logic in Computer Science · Computer Science 2015-07-01 François Laroussinie , Antoine Meyer , Eudes Petonnet

The proliferation of edge devices has generated an unprecedented volume of time series data across different domains, motivating various well-customized methods. Recently, Large Language Models (LLMs) have emerged as a new paradigm for time…

Machine Learning · Computer Science 2025-05-06 Chenxi Liu , Shaowen Zhou , Qianxiong Xu , Hao Miao , Cheng Long , Ziyue Li , Rui Zhao

The language Timed Concurrent Constraint (tccp) is the extension over time of the Concurrent Constraint Programming (cc) paradigm that allows us to specify concurrent systems where timing is critical, for example reactive systems. Systems…

Logic in Computer Science · Computer Science 2007-05-23 Moreno Falaschi , Alicia Villanueva

In temporal logics, a central question is about the choice of modalities and their relative expressive power, in comparison to the complexity of decision problems such as satisfiability. In this tutorial, we will illustrate the study of…

Logic in Computer Science · Computer Science 2017-03-08 Kamal Lodaya , Paritosh K. Pandya

Information security properties of reactive systems like non-interference often require relating different executions of the system to each other and following them simultaneously. Such hyperproperties can also be useful in other contexts,…

Logic in Computer Science · Computer Science 2020-07-20 Jens Oliver Gutsfeld , Markus Müller-Olm , Christoph Ohrem

We present three Natural Language Inference (NLI) challenge sets that can evaluate NLI models on their understanding of temporal expressions. More specifically, we probe these models for three temporal properties: (a) the order between…

Computation and Language · Computer Science 2021-10-05 Shivin Thukral , Kunal Kukreja , Christian Kavouras

Verification of large and complicated concurrent programs is an important issue in the software world. Stateless model checking is an appropriate method for systematically and automatically testing of large programs, which has proved its…

Programming Languages · Computer Science 2016-03-14 Elaheh Ghassabani , Mohammad Abdollahi Azgomi

With the success of pre-trained language models (PLMs) in various application fields beyond natural language processing, language models have raised emerging attention in the field of time series forecasting (TSF) and have shown great…

Machine Learning · Computer Science 2025-09-30 Peng Chen , Yihang Wang , Yang Shu , Yunyao Cheng , Kai Zhao , Zhongwen Rao , Lujia Pan , Bin Yang , Chenjuan Guo

Some multi-agent scenarios call for the possibility of evaluating specifications in a richer domain of truth values. Examples include runtime monitoring of a temporal property over a growing prefix of an infinite path, inconsistency…

Multiagent Systems · Computer Science 2023-11-01 Wojciech Jamroga , Beata Konikowska , Damian Kurpiewski , Wojciech Penczek

Temporal Logic (TL) can be used to rigorously specify complex high-level specification for systems in many engineering applications. The translation between natural language (NL) and TL has been under-explored due to the lack of dataset and…

Computation and Language · Computer Science 2024-03-25 Yongchao Chen , Rujul Gandhi , Yang Zhang , Chuchu Fan

We address the problem of learning human-interpretable descriptions of a complex system from a finite set of positive and negative examples of its behavior. In contrast to most of the recent work in this area, which focuses on descriptions…

Machine Learning · Computer Science 2020-02-11 Rajarshi Roy , Dana Fisman , Daniel Neider