ANALYSIS OF PROBABILISTIC AUTOMATA.

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ISBN 13 :
Total Pages : 7 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis ANALYSIS OF PROBABILISTIC AUTOMATA. by : M. K. Chirkov

Download or read book ANALYSIS OF PROBABILISTIC AUTOMATA. written by M. K. Chirkov and published by . This book was released on 1968 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: Given a deterministic finite automaton A having M states and N inputs, and its binary realization R with l internal and q input cells, it is required to find a probabilistic finite automaton Apr, the binary realization Rpr of which is obtained from R by replacing the deterministic cells with probabilistic ones. A theorem is presented stating that the elements of the transition matrices of Rpr may be decomposed into conditional probabilities of any of its m internal and n input cells. A second theorem is stated concerning the minimum probability of correct operation of the binary automaton.

Automated Analysis of Probabilistic Automata Applications to Financial Instruments and Wireless Network Protocols

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ISBN 13 :
Total Pages : 160 pages
Book Rating : 4.:/5 (768 download)

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Book Synopsis Automated Analysis of Probabilistic Automata Applications to Financial Instruments and Wireless Network Protocols by : Peng Gao

Download or read book Automated Analysis of Probabilistic Automata Applications to Financial Instruments and Wireless Network Protocols written by Peng Gao and published by . This book was released on 2006 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Probabilistic Cellular Automata

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Publisher : Springer
ISBN 13 : 9783319655567
Total Pages : 0 pages
Book Rating : 4.6/5 (555 download)

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Book Synopsis Probabilistic Cellular Automata by : Pierre-Yves Louis

Download or read book Probabilistic Cellular Automata written by Pierre-Yves Louis and published by Springer. This book was released on 2018-03-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores Probabilistic Cellular Automata (PCA) from the perspectives of statistical mechanics, probability theory, computational biology and computer science. PCA are extensions of the well-known Cellular Automata models of complex systems, characterized by random updating rules. Thanks to their probabilistic component, PCA offer flexible computing tools for complex numerical constructions, and realistic simulation tools for phenomena driven by interactions among a large number of neighboring structures. PCA are currently being used in various fields, ranging from pure probability to the social sciences and including a wealth of scientific and technological applications. This situation has produced a highly diversified pool of theoreticians, developers and practitioners whose interaction is highly desirable but can be hampered by differences in jargon and focus. This book – just as the workshop on which it is based – is an attempt to overcome these difference and foster interest among newcomers and interaction between practitioners from different fields. It is not intended as a treatise, but rather as a gentle introduction to the role and relevance of PCA technology, illustrated with a number of applications in probability, statistical mechanics, computer science, the natural sciences and dynamical systems. As such, it will be of interest to students and non-specialists looking to enter the field and to explore its challenges and open issues.

Quantitative Modeling and Analysis of Service-oriented Real-time Systems Using Interval Probabilistic Timed Automata

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Publisher : Universitätsverlag Potsdam
ISBN 13 : 3869561718
Total Pages : 54 pages
Book Rating : 4.8/5 (695 download)

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Book Synopsis Quantitative Modeling and Analysis of Service-oriented Real-time Systems Using Interval Probabilistic Timed Automata by : Krause, Christian

Download or read book Quantitative Modeling and Analysis of Service-oriented Real-time Systems Using Interval Probabilistic Timed Automata written by Krause, Christian and published by Universitätsverlag Potsdam. This book was released on 2012 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the key challenges in service-oriented systems engineering is the prediction and assurance of non-functional properties, such as the reliability and the availability of composite interorganizational services. Such systems are often characterized by a variety of inherent uncertainties, which must be addressed in the modeling and the analysis approach. The different relevant types of uncertainties can be categorized into (1) epistemic uncertainties due to incomplete knowledge and (2) randomization as explicitly used in protocols or as a result of physical processes. In this report, we study a probabilistic timed model which allows us to quantitatively reason about nonfunctional properties for a restricted class of service-oriented real-time systems using formal methods. To properly motivate the choice for the used approach, we devise a requirements catalogue for the modeling and the analysis of probabilistic real-time systems with uncertainties and provide evidence that the uncertainties of type (1) and (2) in the targeted systems have a major impact on the used models and require distinguished analysis approaches. The formal model we use in this report are Interval Probabilistic Timed Automata (IPTA). Based on the outlined requirements, we give evidence that this model provides both enough expressiveness for a realistic and modular specifiation of the targeted class of systems, and suitable formal methods for analyzing properties, such as safety and reliability properties in a quantitative manner. As technical means for the quantitative analysis, we build on probabilistic model checking, specifically on probabilistic time-bounded reachability analysis and computation of expected reachability rewards and costs. To carry out the quantitative analysis using probabilistic model checking, we developed an extension of the Prism tool for modeling and analyzing IPTA. Our extension of Prism introduces a means for modeling probabilistic uncertainty in the form of probability intervals, as required for IPTA. For analyzing IPTA, our Prism extension moreover adds support for probabilistic reachability checking and computation of expected rewards and costs. We discuss the performance of our extended version of Prism and compare the interval-based IPTA approach to models with fixed probabilities.

Probabilistic Cellular Automata

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Publisher : Springer
ISBN 13 : 3319655582
Total Pages : 350 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Probabilistic Cellular Automata by : Pierre-Yves Louis

Download or read book Probabilistic Cellular Automata written by Pierre-Yves Louis and published by Springer. This book was released on 2018-02-21 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores Probabilistic Cellular Automata (PCA) from the perspectives of statistical mechanics, probability theory, computational biology and computer science. PCA are extensions of the well-known Cellular Automata models of complex systems, characterized by random updating rules. Thanks to their probabilistic component, PCA offer flexible computing tools for complex numerical constructions, and realistic simulation tools for phenomena driven by interactions among a large number of neighboring structures. PCA are currently being used in various fields, ranging from pure probability to the social sciences and including a wealth of scientific and technological applications. This situation has produced a highly diversified pool of theoreticians, developers and practitioners whose interaction is highly desirable but can be hampered by differences in jargon and focus. This book – just as the workshop on which it is based – is an attempt to overcome these difference and foster interest among newcomers and interaction between practitioners from different fields. It is not intended as a treatise, but rather as a gentle introduction to the role and relevance of PCA technology, illustrated with a number of applications in probability, statistical mechanics, computer science, the natural sciences and dynamical systems. As such, it will be of interest to students and non-specialists looking to enter the field and to explore its challenges and open issues.

Quantitative and Structural Analysis of Real-time and Probabilistic Systems

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (953 download)

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Book Synopsis Quantitative and Structural Analysis of Real-time and Probabilistic Systems by : Mani Swaminathan

Download or read book Quantitative and Structural Analysis of Real-time and Probabilistic Systems written by Mani Swaminathan and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation contributes to the quantitative and structural analysis of real-time and probabilistic systems. The quantitative analysis herein goes beyond the classical boolean notion of system correctness, and is performed on system models that incorporate perturbations, prices, and probabilities in their behaviour. The structural analysis investigated in this dissertation entails reduction techniques for networks of real-time and probabilistic systems that exhibit parallelism. These four aspects (namely, perturbations, prices, probabilities, and parallelism) are analyzed on the following system models w.r.t variants of reachability properties: 1. perturbed timed automata with drifting clocks and with clock resynchronization, 2. multi-priced timed automata with a bounded budget, 3. networks of timed automata extended with shared data variables, 4. networks of probabilistic automata extended with shared data variables, and 5. perturbed probabilistic timed automata with drifting clocks and with clock resynchronization. engl.

Stability and Cut Points of Probabilistic Automata

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Publisher :
ISBN 13 :
Total Pages : 196 pages
Book Rating : 4.3/5 (129 download)

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Book Synopsis Stability and Cut Points of Probabilistic Automata by : Gerald M. Flachs

Download or read book Stability and Cut Points of Probabilistic Automata written by Gerald M. Flachs and published by . This book was released on 1967 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Formal Methods for Real-Time and Probabilistic Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 3540660100
Total Pages : 364 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Formal Methods for Real-Time and Probabilistic Systems by : Jost-Pieter Katoen

Download or read book Formal Methods for Real-Time and Probabilistic Systems written by Jost-Pieter Katoen and published by Springer Science & Business Media. This book was released on 1999-05-12 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Fifth International AMAST Workshop on Formal Methods for Real-Time and Probabilistic Systems, ARTS '99, held in Bamberg, Germany in May 1999. The 17 revised full papers presented together with three invited contributions were carefully reviewed and selected from 33 submissions. The papers are organized in topical sections on verification of probabilistic systems, model checking for probabilistic systems, semantics of probabilistic process calculi, semantics of real-time processes, real-time compilation, stochastic process algebra, and modeling and verification of real-time systems.

Stochastic Automata

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Publisher : Springer
ISBN 13 :
Total Pages : 724 pages
Book Rating : 4.2/5 (111 download)

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Book Synopsis Stochastic Automata by : Ernst-Erich Doberkat

Download or read book Stochastic Automata written by Ernst-Erich Doberkat and published by Springer. This book was released on 1981 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a general mathematical framework for the analytical aspects of stochastic automata. Shows that under certain topological conditions, non-deterministic automata are generated, which in some cases are produced by stochastic automata.

Performance Analysis of Probabilistic Timed Automata Using Digital Clocks

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ISBN 13 :
Total Pages : 78 pages
Book Rating : 4.:/5 (118 download)

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Book Synopsis Performance Analysis of Probabilistic Timed Automata Using Digital Clocks by :

Download or read book Performance Analysis of Probabilistic Timed Automata Using Digital Clocks written by and published by . This book was released on 2006 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Grammatical Inference

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Publisher : Cambridge University Press
ISBN 13 : 1139486683
Total Pages : 432 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Grammatical Inference by : Colin de la Higuera

Download or read book Grammatical Inference written by Colin de la Higuera and published by Cambridge University Press. This book was released on 2010-04-01 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of inducing, learning or inferring grammars has been studied for decades, but only in recent years has grammatical inference emerged as an independent field with connections to many scientific disciplines, including bio-informatics, computational linguistics and pattern recognition. This book meets the need for a comprehensive and unified summary of the basic techniques and results, suitable for researchers working in these various areas. In Part I, the objects of use for grammatical inference are studied in detail: strings and their topology, automata and grammars, whether probabilistic or not. Part II carefully explores the main questions in the field: What does learning mean? How can we associate complexity theory with learning? In Part III the author describes a number of techniques and algorithms that allow us to learn from text, from an informant, or through interaction with the environment. These concern automata, grammars, rewriting systems, pattern languages or transducers.

Tools and Algorithms for the Construction and Analysis of Systems

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Publisher : Springer
ISBN 13 : 3642120024
Total Pages : 482 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Tools and Algorithms for the Construction and Analysis of Systems by : Javier Esparza

Download or read book Tools and Algorithms for the Construction and Analysis of Systems written by Javier Esparza and published by Springer. This book was released on 2010-03-10 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 16th International Conference on Tools and Algorithms for the Construction and Analysis of Systems, TACAS 2010, held in Paphos, Cyprus, in March 2010, as part of ETAPS 2010, the European Joint Conferences on Theory and Practice of Software. The 35 papers presented were carefully reviewed and selected from 134 submissions. The topics covered are probabilistic systems and optimization, decision procedures, tools, automata theory, liveness, software verification, real time and information flow, and testing.

Probabilistic Timed Automata for Security Analysis and Design

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (18 download)

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Book Synopsis Probabilistic Timed Automata for Security Analysis and Design by : Angelo Troina (t.d.-)

Download or read book Probabilistic Timed Automata for Security Analysis and Design written by Angelo Troina (t.d.-) and published by . This book was released on 2006 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Theory of Automata

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Publisher : Elsevier
ISBN 13 : 1483154394
Total Pages : 277 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Theory of Automata by : Arto Salomaa

Download or read book Theory of Automata written by Arto Salomaa and published by Elsevier. This book was released on 2014-07-10 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of Automata deals with mathematical aspects of the theory of automata theory, with emphasis on the finite deterministic automaton as the basic model. All other models, such as finite non-deterministic and probabilistic automata as well as pushdown and linear bounded automata, are treated as generalizations of this basic model. The formalism chosen to describe finite deterministic automata is that of regular expressions. A detailed exposition regarding this formalism is presented by considering the algebra of regular expressions. This volume is comprised of four chapters and begins with a discussion on finite deterministic automata, paying particular attention to regular and finite languages; analysis and synthesis theorems; equivalence relations induced by languages; sequential machines; sequential functions and relations; definite languages and non-initial automata; and two-way automata. The next chapter describes finite non-deterministic and probabilistic automata and covers theorems concerning stochastic languages; non-regular stochastic languages; and probabilistic sequential machines. The book then introduces the reader to the algebra of regular expressions before concluding with a chapter on formal languages and generalized automata. Theoretical exercises are included, along with ""problems"" at the end of some sections. This monograph will be a useful resource for beginning graduate or advanced undergraduates of mathematics.

Lectures on Formal Methods and Performance Analysis

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Publisher : Springer
ISBN 13 : 3540446672
Total Pages : 438 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Lectures on Formal Methods and Performance Analysis by : Ed Brinksma

Download or read book Lectures on Formal Methods and Performance Analysis written by Ed Brinksma and published by Springer. This book was released on 2003-06-29 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: Traditionally, models and methods for the analysis of the functional correctness of reactive systems, and those for the analysis of their performance (and - pendability) aspects, have been studied by di?erent research communities. This has resulted in the development of successful, but distinct and largely unrelated modeling and analysis techniques for both domains. In many modern systems, however, the di?erence between their functional features and their performance properties has become blurred, as relevant functionalities become inextricably linked to performance aspects, e.g. isochronous data transfer for live video tra- mission. During the last decade, this trend has motivated an increased interest in c- bining insights and results from the ?eld of formal methods – traditionally - cused on functionality – with techniques for performance modeling and analysis. Prominent examples of this cross-fertilization are extensions of process algebra and Petri nets that allow for the automatic generation of performance models, the use of formal proof techniques to assess the correctness of randomized - gorithms, and extensions of model checking techniques to analyze performance requirements automatically. We believe that these developments markthe - ginning of a new paradigm for the modeling and analysis of systems in which qualitative and quantitative aspects are studied from an integrated perspective. We are convinced that the further worktowards the realization of this goal will be a growing source of inspiration and progress for both communities.

Compositional Analysis of Expected Delay in Networks of Automata

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ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (946 download)

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Book Synopsis Compositional Analysis of Expected Delay in Networks of Automata by :

Download or read book Compositional Analysis of Expected Delay in Networks of Automata written by and published by . This book was released on 2000 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We have succeeded in extending our earlier work on probabilistic I/O automata to obtain a practical method for computing termination probabilities and expected termination times in networks of PIOA. Our method is compositional, avoiding the construction of the network's global state space, and as a result very efficient. This represents the culmination of work we first reported in last year's annual report. Probabilistic I/O Automata (PIOA), a natural extension of the '10 Automaton model of Lynch and Tuttle, have been developed by the Pis to model and analyze distributed systems that exhibit behavior that is statistical or probabilistic in nature and subject to timing constraints. The objectives of this grant are to: (1) continue our investigation of the probabilistic I/O automron model with an emphasis on developing techniques that will permit the probabilistic behavior and delay in distributed systems to be analyzed compositionally; (2) implement the resulting techniques in the Concurrency Factory, a CASE environment for the design, specification, verification, and implementation of asynchronous distributed systems; and 3. perform a technology transfer with Northrop Grumman by applying our techniques to several applications currently of interest to Northrop Grumman.

Process Algebra and Probabilistic Methods. Performance Modelling and Verification

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Publisher : Springer
ISBN 13 : 3540448047
Total Pages : 228 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Process Algebra and Probabilistic Methods. Performance Modelling and Verification by : Luca de Alfaro

Download or read book Process Algebra and Probabilistic Methods. Performance Modelling and Verification written by Luca de Alfaro and published by Springer. This book was released on 2003-06-30 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Joint Workshop on Process Algebra and Performance Modeling and Probabilistic Methods in Verification, PAPM-PROBMIV 2001, held in Aachen, Germany in September 2001. The 12 revised full papers presented together with one invited paper were carefully reviewed and selected from 23 submissions. Among the topics addressed are model representation, model checking, probabilistic systems analysis, refinement, Markov chains, random variables, stochastic timed systems, Max-Plus algebra, process algebra, system modeling, and the Mobius modeling framework.