Results 1  10
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35
Probabilistic Simulations for Probabilistic Processes
, 1994
"... Several probabilistic simulation relations for probabilistic systems are defined and evaluated according to two criteria: compositionality and preservation of "interesting" properties. Here, the interesting properties of a system are identified with those that are expressible in an untimed version o ..."
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Cited by 270 (18 self)
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Several probabilistic simulation relations for probabilistic systems are defined and evaluated according to two criteria: compositionality and preservation of "interesting" properties. Here, the interesting properties of a system are identified with those that are expressible in an untimed version of the Timed Probabilistic concurrent Computation Tree Logic (TPCTL) of Hansson. The definitions are made, and the evaluations carried out, in terms of a general labeled transition system model for concurrent probabilistic computation. The results cover weak simulations, which abstract from internal computation, as well as strong simulations, which do not.
Process Algebra for Performance Evaluation
, 2000
"... This paper surveys the theoretical developments in the field of stochastic process algebras, process algebras where action occurrences may be subject to a delay that is determined by a random variable. A huge class of resourcesharing systems  like largescale computers, clientserver architectur ..."
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Cited by 52 (13 self)
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This paper surveys the theoretical developments in the field of stochastic process algebras, process algebras where action occurrences may be subject to a delay that is determined by a random variable. A huge class of resourcesharing systems  like largescale computers, clientserver architectures, networks  can accurately be described using such stochastic specification formalisms.
Metrics for Labelled Markov Systems
, 2001
"... The notion of process equivalence of probabilistic processes is sensitive to the exact probabilities of transitions. Thus, a slight change in the transition probabilities will result in two equivalent processes being deemed no longer equivalent. This instability is due to the quantitative nature of ..."
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Cited by 48 (10 self)
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The notion of process equivalence of probabilistic processes is sensitive to the exact probabilities of transitions. Thus, a slight change in the transition probabilities will result in two equivalent processes being deemed no longer equivalent. This instability is due to the quantitative nature of probabilistic processes. In a situation where the process behaviour has a quantitative aspect there should be a more robust approach to process equivalence. This paper studies a metric between labelled Markov processes. This metric has the property that processes are at zero distance if and only if they are bisimilar. The metric is inspired by earlier work on logics for characterizing bisimulation and is related, in spirit, to the Hutchinson metric.
Probabilistic Automata: System Types, Parallel Composition and Comparison
 In Validation of Stochastic Systems: A Guide to Current Research
, 2004
"... We survey various notions of probabilistic automata and probabilistic bisimulation, accumulating in an expressiveness hierarchy of probabilistic system types. The aim of this paper is twofold: On the one hand it provides an overview of existing types of probabilistic systems and, on the other ha ..."
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Cited by 27 (5 self)
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We survey various notions of probabilistic automata and probabilistic bisimulation, accumulating in an expressiveness hierarchy of probabilistic system types. The aim of this paper is twofold: On the one hand it provides an overview of existing types of probabilistic systems and, on the other hand, it explains the relationship between these models.
Randomized Selfstabilizing and Space Optimal Leader Election under Arbitrary Scheduler on Rings
, 1999
"... We present a randomized selfstabilizing leader election protocol and a randomized selfstabilizing token circulation protocol under an arbitrary scheduler on anonymous and unidirectional rings of any size. These protocols are space optimal. We also give a formal and complete proof of these protocol ..."
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Cited by 23 (10 self)
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We present a randomized selfstabilizing leader election protocol and a randomized selfstabilizing token circulation protocol under an arbitrary scheduler on anonymous and unidirectional rings of any size. These protocols are space optimal. We also give a formal and complete proof of these protocols.
Decision Algorithms for Probabilistic Bisimulation
, 2002
"... We propose decision algorithms for bisimulation relations de ned on probabilistic automata, a model for concurrent nondeterministic systems with randomization. The algorithms decide both strong and weak bisimulation relations based on deterministic as well as randomized schedulers. These algori ..."
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Cited by 22 (3 self)
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We propose decision algorithms for bisimulation relations de ned on probabilistic automata, a model for concurrent nondeterministic systems with randomization. The algorithms decide both strong and weak bisimulation relations based on deterministic as well as randomized schedulers. These algorithms extend and complete other known algorithms for simpler relations and models. The algorithm we present for strong probabilistic bisimulation has polynomial time complexity, while the algorithm for weak probabilistic bisimulation is exponential; however we argue that the latter is feasible in practice.
Acceptance Trees for Probabilistic Processes
 In CONCUR'95, LNCS 962
, 1995
"... . In this paper we study the extension of classical testing theory to a probabilistic process algebra. We consider a generative interpretation of probabilities for a language with two choice operators (one internal and the other external), which are annotated with a probability p 2 (0; 1). We defin ..."
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Cited by 19 (8 self)
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. In this paper we study the extension of classical testing theory to a probabilistic process algebra. We consider a generative interpretation of probabilities for a language with two choice operators (one internal and the other external), which are annotated with a probability p 2 (0; 1). We define a testing semantics for our language, and we write P passp T to denote that the process P passes the test T with a probability p. We also give a set of essential tests which has the same strength as the full family of tests. Next we give an alternative characterization of the testing semantics, based on the idea of acceptance sets, and we prove that the new equivalence is equal to the testing equivalence. Finally, we present a fully abstract denotational semantics based on acceptance trees. 1 Introduction During the last years there has been a great activity devoted to the study of time and probabilistic extensions of concurrent processes. These extensions are very adequate for the spe...
Selfstabilizing Vertex Coloring of Arbitrary Graphs
 IN 4TH INTERNATIONAL CONFERENCE ON PRINCIPLES OF DISTRIBUTED SYSTEMS, OPODIS’2000
, 2000
"... A selfstabilizing algorithm, regardless of the initial system state, converges in finite time to a set of states that satisfy a legitimacy predicate without the need for explicit... ..."
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Cited by 18 (6 self)
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A selfstabilizing algorithm, regardless of the initial system state, converges in finite time to a set of states that satisfy a legitimacy predicate without the need for explicit...
Service Time Optimal SelfStabilizing Token Circulation Protocol on Anonymous Unidrectional Rings
 In SRDS 2002 21st Symposium on Reliable Distributed Systems, IEEE Computer
, 2002
"... on unidirectional anonymous rings. This protocol does not required processor identifiers, no distinguished processor (i.e. all processors perform the same algorithm). ..."
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Cited by 12 (8 self)
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on unidirectional anonymous rings. This protocol does not required processor identifiers, no distinguished processor (i.e. all processors perform the same algorithm).
Selfstabilizing Neighborhood Unique Naming under Unfair Scheduler
 of Lecture Notes in Computer Science
, 2001
"... We propose a selfstabilizing probabilistic solution for the neighborhood unique naming problem in uniform, anonymous networks with arbitrary topology. This problem is important in the graph theory Our solution stabilizes under the unfair distributed scheduler. We prove that this solution needs ..."
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Cited by 11 (3 self)
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We propose a selfstabilizing probabilistic solution for the neighborhood unique naming problem in uniform, anonymous networks with arbitrary topology. This problem is important in the graph theory Our solution stabilizes under the unfair distributed scheduler. We prove that this solution needs in average only one trial per processor.