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We consider two characterisations of the may and must testing preorders for a probabilistic extension of the finite pi-calculus: one based on notions of probabilistic weak simulations, and the other on a probabilistic extension of a…

Logic in Computer Science · Computer Science 2012-01-12 Yuxing Deng , Alwen Tiu

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

We propose a process calculus to model high level wireless systems, where the topology of a network is described by a digraph. The calculus enjoys features which are proper of wireless networks, namely broadcast communication and…

Logic in Computer Science · Computer Science 2015-07-01 Andrea Cerone , Matthew Hennessy

A central paradigm behind process semantics based on observability and testing is that the exact moment of occurring of an internal nondeterministic choice is unobservable. It is natural, therefore, for this property to hold when the…

Logic in Computer Science · Computer Science 2009-07-10 Sonja Georgievska , Suzana Andova

In the setting of message passing software, De Nicola and Hennessy must-preorder defines when a program improves on another one. Since this preorder does not come equipped with a viable proof method, using it requires an alternative…

Logic in Computer Science · Computer Science 2026-05-05 Giovanni Bernardi , Hugo Férée , Gaëtan Lopez

When dealing with process calculi and automata which express both nondeterministic and probabilistic behavior, it is customary to introduce the notion of scheduler to solve the nondeterminism. It has been observed that for certain…

Cryptography and Security · Computer Science 2007-06-13 Konstantinos Chatzikokolakis , Catuscia Palamidessi

We extend the theory of labeled Markov processes with internal nondeterminism, a fundamental concept for the further development of a process theory with abstraction on nondeterministic continuous probabilistic systems. We define…

Logic in Computer Science · Computer Science 2015-03-17 Pedro D'Argenio , Pedro Sánchez Terraf , Nicolás Wolovick

May and must testing were introduced by De Nicola and Hennessy to define semantic equivalences on processes. May-testing equivalence exactly captures safety properties, and must-testing equivalence liveness properties. This paper proposes…

Logic in Computer Science · Computer Science 2019-08-01 Rob van Glabbeek

We introduce a notion of real-valued reward testing for probabilistic processes by extending the traditional nonnegative-reward testing with negative rewards. In this richer testing framework, the may and must preorders turn out to be…

Logic in Computer Science · Computer Science 2011-07-07 Yuxin Deng , Rob van Glabbeek , Matthew Hennessy , Carroll Morgan

We define a testing equivalence in the spirit of De Nicola and Hennessy for reactive probabilistic processes, i.e. for processes where the internal nondeterminism is due to random behaviour. We characterize the testing equivalence in terms…

Logic in Computer Science · Computer Science 2010-06-29 Sonja Georgievska , Suzana Andova

Like notions of process equivalence, behavioural preorders on processes come in many flavours, ranging from fine-grained comparisons such as ready simulation to coarse-grained ones such as trace inclusion. Often, such behavioural preorders…

Logic in Computer Science · Computer Science 2021-05-03 Chase Ford , Stefan Milius , Lutz Schröder

We consider the classic problem of scheduling a set of n jobs non-preemptively on a single machine. Each job j has non-negative processing time, weight, and deadline, and a feasible schedule needs to be consistent with chain-like precedence…

Data Structures and Algorithms · Computer Science 2015-07-06 Hossein Efsandiari , MohammadTaghi Hajiaghyi , Jochen Koenemann , Hamid Mahini , David Malec , Laura Sanita

To develop a full abstract denotational model of a process language based on prebisimulation preorder, its behavioural semantics has two problems: (1) Two processes related by a standard denotational interpretation afford the same finite…

Logic in Computer Science · Computer Science 2026-05-11 Yong Wang

Variants of the must testing approach have been successfully applied in service oriented computing for analysing the compliance between (contracts exposed by) clients and servers or, more generally, between two peers. It has however been…

Logic in Computer Science · Computer Science 2023-06-22 Rocco de Nicola , Hernán Melgratti

Probabilistic bisimulation is a fundamental notion of process equivalence for probabilistic systems. Among others, it has important applications including formalizing the anonymity property of several communication protocols. There is a lot…

Software Engineering · Computer Science 2020-11-05 Chih-Duo Hong , Anthony W. Lin , Rupak Majumdar , Philipp Rümmer

Parameterization extends higher-order processes with the capability of abstraction and application (like those in lambda-calculus). This extension is strict, i.e., higher-order processes equipped with parameterization is computationally…

Logic in Computer Science · Computer Science 2016-08-11 Xian Xu

The synthesis problem for partially observable Markov decision processes (POMDPs) is to compute a policy that satisfies a given specification. Such policies have to take the full execution history of a POMDP into account, rendering the…

Artificial Intelligence · Computer Science 2020-07-20 Leonore Winterer , Ralf Wimmer , Nils Jansen , Bernd Becker

Higher-order processes with parameterization are capable of abstraction and application (migrated from the lambda-calculus), and thus are computationally more expressive. For the minimal higher-order concurrency, it is well-known that the…

Logic in Computer Science · Computer Science 2021-08-25 Xian Xu , Wenbo Zhang

De Nicola and Hennessy's must-preorder is a contextual refinement which states that a server q refines a server p if all clients satisfied by p are also satisfied by q. Owing to the universal quantification over clients, this definition…

Logic in Computer Science · Computer Science 2025-01-23 Giovanni Bernardi , Ilaria Castellani , Paul Laforgue , Léo Stefanesco

In the formal modelling of systems, demonic and angelic nondeterminism play fundamental roles as abstraction mechanisms. The angelic nature of a choice pertains to the property of avoiding failure whenever possible. As a concept, angelic…

Logic in Computer Science · Computer Science 2015-05-29 Pedro Ribeiro
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