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This paper develops an assume-guarantee (AG) framework for the compositional verification of probabilistic automata (PAs) with uncertain transition probabilities. We study parametric probabilistic automata (pPAs), where probabilities are…

Logic in Computer Science · Computer Science 2026-04-01 Hannah Mertens , Tim Quatmann , Joost-Pieter Katoen

Probabilistic automata are an extension of nondeterministic finite automata in which transitions are annotated with probabilities. Despite its simplicity, this model is very expressive and many of the associated algorithmic questions are…

Formal Languages and Automata Theory · Computer Science 2022-05-20 Nathanaël Fijalkow , Cristian Riveros , James Worrell

This paper discusses highly general mechanisms for specifying the refinement of a real-time system as a collection of lower level parallel components that preserve the timing and functional requirements of the upper level specification.…

Logic in Computer Science · Computer Science 2010-02-10 Paul Z. Kolano , Carlo A. Furia , Richard A. Kemmerer , Dino Mandrioli

We present probabilistic arithmetic automata (PAAs), a general model to describe chains of operations whose operands depend on chance, along with two different algorithms to exactly calculate the distribution of the results obtained by such…

Formal Languages and Automata Theory · Computer Science 2010-11-29 Tobias Marschall , Inke Herms , Hans-Michael Kaltenbach , Sven Rahmann

This paper describes an architecture for robots that combines the complementary strengths of probabilistic graphical models and declarative programming to represent and reason with logic-based and probabilistic descriptions of uncertainty…

Robotics · Computer Science 2018-09-24 Mohan Sridharan , Michael Gelfond , Shiqi Zhang , Jeremy Wyatt

We study the problem of revising specifications with preferences for automata based control synthesis problems. In this class of revision problems, the user provides a numerical ranking of the desirability of the subgoals in their…

Formal Languages and Automata Theory · Computer Science 2014-02-18 Kangjin Kim , Georgios Fainekos

Automatic pronunciation assessment (APA) manages to evaluate the pronunciation proficiency of a second language (L2) learner in a target language. Existing efforts typically draw on regression models for proficiency score prediction, where…

Audio and Speech Processing · Electrical Eng. & Systems 2024-06-11 Bi-Cheng Yan , Wei-Cheng Chao , Jiun-Ting Li , Yi-Cheng Wang , Hsin-Wei Wang , Meng-Shin Lin , Berlin Chen

Affine projection algorithm (APA) is a well-known algorithm in adaptive filtering applications such as audio echo cancellation. APA relies on three parameters: $P$ (projection order), $\mu$ (step size) and $\delta$ (regularization…

Information Theory · Computer Science 2023-10-16 Shirin Jalali , Carl Nuzman , Yue Sun

In interactions between users and language model agents, user utterances frequently exhibit ellipsis (omission of words or phrases) or imprecision (lack of exactness) to prioritize efficiency. This can lead to varying interpretations of the…

Computation and Language · Computer Science 2024-10-07 Hyuhng Joon Kim , Youna Kim , Cheonbok Park , Junyeob Kim , Choonghyun Park , Kang Min Yoo , Sang-goo Lee , Taeuk Kim

Automata-based modeling languages, like Component Interaction Automata, offer an attractive means to capture and analyze the behavioral aspects of interacting components. At the center of these modeling languages we find finite state…

Software Engineering · Computer Science 2010-10-15 Markus Lumpe , Rajesh Vasa

Estimation of parameters is a crucial part of model development. When models are deterministic, one can minimise the fitting error; for stochastic systems one must be more careful. Broadly parameterisation methods for stochastic dynamical…

Statistics Theory · Mathematics 2018-04-12 Asbjørn N. Riseth , Jake P. Taylor-King

We present abstraction-refinement algorithms for model checking safety properties of timed automata. The abstraction domain we consider abstracts away zones by restricting the set of clock constraints that can be used to define them, while…

Formal Languages and Automata Theory · Computer Science 2019-05-27 Victor Roussanaly , Ocan Sankur , Nicolas Markey

When Perturbation Analysis (PA) yields unbiased sensitivity estimators for expected-value performance functions in discrete event dynamic systems, it can be used for performance optimization of those functions. However, when PA is known to…

Optimization and Control · Mathematics 2013-08-06 Yorai Wardi , Christos G. Cassandras

We establish an assume-guarantee (AG) framework for compositional reasoning about multi-objective queries in parametric probabilistic automata (pPA) - an extension to probabilistic automata (PA), where transition probabilities are functions…

Logic in Computer Science · Computer Science 2025-06-11 Hannah Mertens , Tim Quatmann , Joost-Pieter Katoen

In this work, we propose an abstraction and refinement methodology for the controller synthesis of discrete-time stochastic systems to enforce complex logical properties expressed by deterministic finite automata (a.k.a. DFA). Our proposed…

Systems and Control · Electrical Eng. & Systems 2022-11-15 Bingzhuo Zhong , Abolfazl Lavaei , Majid Zamani , Marco Caccamo

Modal automata are a classic formal model for component-based systems that comes equipped with a rich specification theory supporting abstraction, refinement and compositional reasoning. In recent years, quantitative variants of modal…

Logic in Computer Science · Computer Science 2013-06-13 Tingting Han , Christian Krause , Marta Kwiatkowska , Holger Giese

Automatic pronunciation assessment (APA) manages to quantify the pronunciation proficiency of a second language (L2) learner in a language. Prevailing approaches to APA normally leverage neural models trained with a regression loss…

Audio and Speech Processing · Electrical Eng. & Systems 2023-10-05 Bi-Cheng Yan , Hsin-Wei Wang , Yi-Cheng Wang , Jiun-Ting Li , Chi-Han Lin , Berlin Chen

In this paper, we present structural abstraction refinement, a novel framework for verifying the threshold problem of probabilistic programs. Our approach represents the structure of a Probabilistic Control-Flow Automaton (PCFA) as a Markov…

Formal Languages and Automata Theory · Computer Science 2025-08-19 Guanyan Li , Juanen Li , Zhilei Han , Peixin Wang , Hongfei Fu , Fei He

Given a Probabilistic Finite Automata (PFA), a set of states S, and an error threshold e > 0, our algorithm approximates the infimum probability (quantifying over all infinite words) that the automata reaches S. Our result contrasts with…

Logic in Computer Science · Computer Science 2010-09-21 Sergio Giro

Hybrid automata are a natural framework for modeling and analyzing systems which exhibit a mixed discrete continuous behaviour. However, the standard operational semantics defined over such models implicitly assume perfect knowledge of the…

Systems and Control · Computer Science 2013-08-27 Alberto Casagrande , Tommaso Dreossi , Carla Piazza
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