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Probabilistic and stochastic behavior are omnipresent in computer controlled systems, in particular, so-called safety-critical hybrid systems, because of fundamental properties of nature, uncertain environments, or simplifications to…

Logic in Computer Science · Computer Science 2015-09-08 Yu Peng , Shuling Wang , Naijun Zhan , Lijun Zhang

Hybrid Communicating Sequential Processes (HCSP) is a powerful formal modeling language for hybrid systems, which is an extension of CSP by introducing differential equations for modeling continuous evolution and interrupts for modeling…

Logic in Computer Science · Computer Science 2016-09-09 Gaogao Yan , Li Jiao , Yangjia Li , Shuling Wang , Naijun Zhan

We propose a hybrid probabilistic process calculus for modelling and reasoning on cyber-physical systems (CPSs). The dynamics of the calculus is expressed in terms of a probabilistic labelled transition system in the SOS style of Plotkin.…

Logic in Computer Science · Computer Science 2021-05-25 Ruggero Lanotte , Massimo Merro , Simone Tini

Probabilistic transition system specifications using the rule format ntmuft-ntmuxt provide structural operational semantics for Segala-type systems and guarantee that probabilistic bisimilarity is a congruence. Probabilistic bisimilarity is…

Logic in Computer Science · Computer Science 2013-07-30 Daniel Gebler , Simone Tini

The well-known process algebras, such as CCS, ACP and $\pi$-calculus, capture the interleaving concurrency based on bisimilarity semantics. We did some work on truly concurrent process algebras, such as CTC, APTC and $\pi_{tc}$ , capture…

Logic in Computer Science · Computer Science 2021-07-29 Yong Wang

In a previous paper, a process algebra based on ACP (Algebra of Communicating Processes) was proposed in which processes involving data can be handled by means of features originating from imperative programming. In this paper, an extension…

Logic in Computer Science · Computer Science 2026-05-19 C. A. Middelburg

In this paper, a simulation-based method for the analysis and design of abstracted models for a stochastic hybrid system is proposed. The accuracy of a model is evaluated in terms of its capability to reproduce the system output for all the…

Systems and Control · Computer Science 2014-05-29 M. Prandini , S. Garatti , R. Vignali

Probabilistic Answer Set Programming under the credal semantics (PASP) extends Answer Set Programming with probabilistic facts that represent uncertain information. The probabilistic facts are discrete with Bernoulli distributions. However,…

Artificial Intelligence · Computer Science 2025-02-19 Damiano Azzolini , Fabrizio Riguzzi

Studies of issues related to computability and computational complexity involve the use of a model of computation. Pivotal to such a model are the computational processes considered. Processes of this kind can be described using an…

Logic in Computer Science · Computer Science 2024-06-24 C. A. Middelburg

This paper shows how to compute, for probabilistic hybrid systems, the clock approximation and linear phase-portrait approximation that have been proposed for non probabilistic processes by Henzinger et al. The techniques permit to define a…

Logic in Computer Science · Computer Science 2011-07-07 Joseph Assouramou , Josée Desharnais

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

We propose a hybrid process calculus for modelling and reasoning on cyber-physical systems (CPS{s}). The dynamics of the calculus is expressed in terms of a labelled transition system in the SOS style of Plotkin. This is used to define a…

Logic in Computer Science · Computer Science 2018-07-10 Ruggero Lanotte , Massimo Merro

We study which standard operators of probabilistic process calculi allow for compositional reasoning with respect to bisimulation metric semantics. We argue that uniform continuity (generalizing the earlier proposed property of…

Logic in Computer Science · Computer Science 2019-03-14 Daniel Gebler , Kim G. Larsen , Simone Tini

Probabilistic automata (PAs) have been successfully applied in formal verification of concurrent and stochastic systems. Efficient model checking algorithms have been studied, where the most often used logics for expressing properties are…

Logic in Computer Science · Computer Science 2015-07-01 Lei Song , Lijun Zhang , Jens Chr. Godskesen , Flemming Nielson

This paper introduces an imperative process algebra based on ACP (Algebra of Communicating Processes). Like other imperative process algebras, this process algebra deals with processes of the kind that arises from the execution of…

Logic in Computer Science · Computer Science 2022-07-08 C. A. Middelburg

Probabilistic programming is related to a compositional approach to stochastic modeling by switching from discrete to continuous time dynamics. In continuous time, an operator-algebra semantics is available in which processes proceeding in…

Artificial Intelligence · Computer Science 2012-12-05 Eric Mjolsness

PRISM is an extension of Prolog with probabilistic predicates and built-in support for expectation-maximization learning. Constraint Handling Rules (CHR) is a high-level programming language based on multi-headed multiset rewrite rules. In…

Programming Languages · Computer Science 2010-07-23 Jon Sneyers , Wannes Meert , Joost Vennekens , Yoshitaka Kameya , Taisuke Sato

There is a lot of research on probabilistic transition systems. There are not many studies in probabilistic process models. The lack of investigation into the interactive aspect of probabilistic processes is mainly due to the difficulty…

Logic in Computer Science · Computer Science 2019-06-25 Yuxi Fu

We develop an algorithm for computing bounded reachability probability for hybrid systems, i.e., the probability that the system reaches an unsafe region within a finite number of discrete transitions. In particular, we focus on hybrid…

Logic in Computer Science · Computer Science 2015-05-13 Fedor Shmarov , Paolo Zuliani

In this paper we work on (bi)simulation semantics of processes that exhibit both nondeterministic and probabilistic behaviour. We propose a probabilistic extension of the modal mu-calculus and show how to derive characteristic formulae for…

Logic in Computer Science · Computer Science 2015-05-19 Yuxin Deng , Rob van Glabbeek
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