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While reachability analysis is one of the most promising approaches for formal verification of dynamic systems, a major disadvantage preventing a more widespread application is the requirement to manually tune algorithm parameters such as…

Logic in Computer Science · Computer Science 2024-04-09 Niklas Kochdumper , Stanley Bak

Timed automata (TA) are a well-established formalism for specifying discrete-state/continuous-time behavior of time-critical reactive systems. Concerning the fundamental analysis problem of comparing a candidate implementation against a…

Formal Languages and Automata Theory · Computer Science 2020-09-17 Lars Luthmann , Hendrik Göttmann , Isabelle Bacher , Malte Lochau

Probabilistic B\"uchi automata are a natural generalization of PFA to infinite words, but have been studied in-depth only rather recently and many interesting questions are still open. PBA are known to accept, in general, a class of…

Formal Languages and Automata Theory · Computer Science 2020-04-30 Christof Löding , Anton Pirogov

Timed automata (TAs) are a common formalism for modeling timed systems. Bounded model checking (BMC) is a verification method that searches for runs violating a property using a SAT or SMT solver. MITL is a real-time extension of the linear…

Logic in Computer Science · Computer Science 2013-04-29 Roland Kindermann , Tommi Junttila , Ilkka Niemelä

We consider systems under uncertainty whose dynamics are partially unknown. Our aim is to study satisfaction of temporal logic properties by trajectories of such systems. We express these properties as signal temporal logic formulas and…

Systems and Control · Electrical Eng. & Systems 2020-05-12 Ali Salamati , Sadegh Soudjani , Majid Zamani

Standard probabilistic models face fundamental challenges such as data scarcity, a large hypothesis space, and poor data transparency. To address these challenges, we propose a novel probabilistic model of data-driven temporal propositional…

Artificial Intelligence · Computer Science 2025-07-08 Hiroyuki Kido

Event-clock automata (ECA) are a well-known semantic subclass of timed automata (TA) which enjoy admirable theoretical properties, e.g., determinizability, and are practically useful to capture timed specifications. However, unlike for…

Formal Languages and Automata Theory · Computer Science 2024-08-07 S Akshay , Paul Gastin , R Govind , B Srivathsan

In this paper, we consider a model of generalized timed automata (GTA) with two kinds of clocks, history and future, that can express many timed features succinctly, including timed automata, event-clock automata with and without diagonal…

Formal Languages and Automata Theory · Computer Science 2024-03-19 S Akshay , Paul Gastin , R Govind , Aniruddha R Joshi , B Srivathsan

Security properties of real-time systems often involve reasoning about hyper-properties, as opposed to properties of single executions or trees of executions. These hyper-properties need to additionally be expressive enough to reason about…

Cryptography and Security · Computer Science 2024-05-21 Nabarun Deka , Minjian Zhang , Rohit Chadha , Mahesh Viswanathan

Symbolic data structures for model checking timed systems have been subject to a significant research, with Difference Bound Matrices (DBMs) still being the preferred data structure in several mature verification tools. In comparison,…

Data Structures and Algorithms · Computer Science 2012-11-28 Kenneth Y. Jørgensen , Kim G. Larsen , Jiří Srba

We define the class of explorable automata on finite or infinite words. This is a generalization of History-Deterministic (HD) automata, where this time non-deterministic choices can be resolved by building finitely many simultaneous runs…

Formal Languages and Automata Theory · Computer Science 2025-11-26 Emile Hazard , Olivier Idir , Denis Kuperberg

Probabilistic timed automata are a suitable formalism to model systems with real-time, nondeterministic and probabilistic behaviour. We study two-player zero-sum games on such automata where the objective of the game is specified as the…

Logic in Computer Science · Computer Science 2016-04-18 Vojtěch Forejt , Marta Kwiatkowska , Gethin Norman , Ashutosh Trivedi

A randomized algorithm for a search problem is *pseudodeterministic* if it produces a fixed canonical solution to the search problem with high probability. In their seminal work on the topic, Gat and Goldwasser posed as their main open…

Computational Complexity · Computer Science 2025-12-05 Lijie Chen , Zhenjian Lu , Igor C. Oliveira , Hanlin Ren , Rahul Santhanam

Test-Time Augmentation (TTA) is a very powerful heuristic that takes advantage of data augmentation during testing to produce averaged output. Despite the experimental effectiveness of TTA, there is insufficient discussion of its…

Machine Learning · Computer Science 2024-02-13 Masanari Kimura

A probabilistic cellular automaton (PCA) can be viewed as a Markov chain. The cells are updated synchronously and independently, according to a distribution depending on a finite neighborhood. We investigate the ergodicity of this Markov…

Probability · Mathematics 2015-03-17 Ana Busic , Jean Mairesse , Irene Marcovici

Current test-time adaptation (TTA) approaches aim to adapt a machine learning model to environments that change continuously. Yet, it is unclear whether TTA methods can maintain their adaptability over prolonged periods. To answer this…

Computer Vision and Pattern Recognition · Computer Science 2024-11-05 Trung-Hieu Hoang , Duc Minh Vo , Minh N. Do

We study the bisimilarity problem for probabilistic pushdown automata (pPDA) and subclasses thereof. Our definition of pPDA allows both probabilistic and non-deterministic branching, generalising the classical notion of pushdown automata…

Formal Languages and Automata Theory · Computer Science 2012-10-09 Vojtech Forejt , Petr Jancar , Stefan Kiefer , James Worrell

Test-time adaptation (TTA) has emerged as a promising paradigm for vision-language models (VLMs) to bridge the distribution gap between pre-training and test data. Recent works have focused on backpropagation-free TTA methods that rely on…

Computer Vision and Pattern Recognition · Computer Science 2026-05-14 Zhaohong Huang , Yuxin Zhang , Wenjing Liu , Fei Chao , Rongrong Ji

This paper is a survey of extensions to finite automata theory to model real-time systems as well as systems exhibiting mixed discrete-continuous behavior. Real-time systems maintain a continuous and timely interaction with the environment,…

Formal Languages and Automata Theory · Computer Science 2018-11-27 Lakhan Shiva Kamireddy

Probabilistic pushdown automata (pPDA) are a standard model for discrete probabilistic programs with procedures and recursion. In pPDA, many quantitative properties are characterized as least fixpoints of polynomial equation systems. In…

Formal Languages and Automata Theory · Computer Science 2023-02-28 Tobias Winkler , Joost-Pieter Katoen
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