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Bisimulation Algorithms for Stochastic Process Algebras and Their BDD-Based Implementation
[chapter]
1999
Lecture Notes in Computer Science
This paper addresses the computational complexity of minimisation algorithms and explains how efficient, BDD-based data structures can be employed for this purpose. ...
Stochastic process algebras have been introduced in order to enable compositional performance analysis. ...
The second author is supported by the DAAD-Project AZ 313-ARC-XII-98/38 on stochastic modelling and verification. ...
doi:10.1007/3-540-48778-6_15
fatcat:7jlyu4novrblfddrruxkp2e7ta
Deriving Symbolic Representations from Stochastic Process Algebras
[chapter]
2002
Lecture Notes in Computer Science
A new denotational semantics for a variant of the stochastic process algebra TIPP is presented, which maps process terms to Multiterminal binary decision diagrams. ...
It is shown that the new semantics is Markovian bisimulation equivalent to the standard SOS semantics. ...
Acknowledgements: The authors would like to thank the anonymous referees whose comments helped to fix some technical flaws and improve the presentation of the paper. ...
doi:10.1007/3-540-45605-8_12
fatcat:jurtruql3bbohnvs5wemml2byi
Compositional performance modelling with the TIPPtool
2000
Performance evaluation (Print)
Stochastic process algebras have been proposed as compositional specification formalisms for performance models. ...
It incorporates methods for compositional specification as well as solution, based on state-of-the-art techniques, and wrapped in a user-friendly graphical front end. ...
His research interests include stochastic process algebras and their application to performance and dependability evaluation. Fig. 1 . 1 Basic principles of process algebras. ...
doi:10.1016/s0166-5316(99)00056-5
fatcat:g5bc2sukmfa2tjwy3rhjhiomye
Compositional Performance Modelling with the TIPPtool
[chapter]
1998
Lecture Notes in Computer Science
Stochastic process algebras have been proposed as compositional specification formalisms for performance models. ...
It incorporates methods for compositional specification as well as solution, based on state-of-the-art techniques, and wrapped in a user-friendly graphical front end. ...
His research interests include stochastic process algebras and their application to performance and dependability evaluation. Fig. 1 . 1 Basic principles of process algebras. ...
doi:10.1007/3-540-68061-6_5
fatcat:6qvkd2tmi5b65ba5ykjjpo6npq
Sigref – A Symbolic Bisimulation Tool Box
[chapter]
2006
Lecture Notes in Computer Science
Thus, the definition of an appropriate signature is the key for a rapid development of algorithms for other types of bisimulation. ...
We present a uniform signature-based approach to compute the most popular bisimulations. ...
Additionally, we are deeply grateful to Markus Siegle and Matthias Kuntz for the supply of the CASPA tool. ...
doi:10.1007/11901914_35
fatcat:khzv2xcofzdjxfyh7arwbhpm6e
Multi-core symbolic bisimulation minimisation
2017
International Journal on Software Tools for Technology Transfer (STTT)
We present specialised BDD operations to compute the maximal bisimulation using signature-based partition refinement. ...
We introduce parallel symbolic algorithms for bisimulation minimisation, to combat the combinatorial state space explosion along three different paths. ...
reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. ...
doi:10.1007/s10009-017-0468-z
fatcat:lkof5aig5ff7rpxcdpuklxjn2m
Multi-core Symbolic Bisimulation Minimisation
[chapter]
2016
Lecture Notes in Computer Science
We present specialised BDD operations to compute the maximal bisimulation using signature-based partition refinement. ...
We introduce parallel symbolic algorithms for bisimulation minimisation, to combat the combinatorial state space explosion along three different paths. ...
reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. ...
doi:10.1007/978-3-662-49674-9_19
fatcat:nfnqbolkwrgjvmbm2gowea2ilm
CADP 2010: A Toolbox for the Construction and Analysis of Distributed Processes
[chapter]
2011
Lecture Notes in Computer Science
Cadp (Construction and Analysis of Distributed Processes) is a comprehensive software toolbox that implements the results of concurrency theory. ...
The paper then reviews the main features of Cadp 2010, including compilers for various formal specification languages, equivalence checkers, model checkers, performance evaluation tools, and parallel verification ...
It implements partition-refinement algorithms based on the notion of state signature [4] . ...
doi:10.1007/978-3-642-19835-9_33
fatcat:4fh2thknsfaergm37j6tgbncze
Performance Evaluation:= (Process Algebra + Model Checking) X Markov Chains
[chapter]
2001
Lecture Notes in Computer Science
Combining process algebra and model checking constitutes a coherent framework for performance evaluation based on CTMCs. ...
Process algebra provides: (i) a high-level specification formalism for describing CTMCs in a precise, modular and constraint-oriented way, and (ii) means for the automated generation and aggregation of ...
Twente) and Ulrich Herzog (Univ. Erlangen) have contributed to the work on stochastic process algebra reported here. ...
doi:10.1007/3-540-44685-0_6
fatcat:fjczdy3uira6hosgoe5bde3kre
Reachability-based model reduction for Markov decision process
2015
Journal of the Brazilian Computer Society
This paper presents how to improve model reduction for Markov decision process (MDP), a technique that generates equivalent MDPs that can be smaller than the original MDP. ...
The results show that our approach dominates the current model reduction algorithms and outperforms general MDP solvers in dense problems, i.e., problems in which actions have many probabilistic outcomes ...
The process stops when all blocks are stable and the resulting partition is a stochastic bisimulation [6] . ...
doi:10.1186/s13173-015-0024-1
fatcat:dznkv7z6zveitcagsleueimwli
CADP 2011: a toolbox for the construction and analysis of distributed processes
2012
International Journal on Software Tools for Technology Transfer (STTT)
Cadp (Construction and Analysis of Distributed Processes) is a comprehensive software toolbox that implements the results of concurrency theory. ...
evaluation tools, and parallel verification tools running on clusters and grids. ...
partition-refinement algorithms ( [79] for strong bisimulation, [65] for branching bisimulation, and [72] for stochastic/probabilistic extensions). ...
doi:10.1007/s10009-012-0244-z
fatcat:fdch5egwpneebjd3bo6lozyhby
On the use of MTBDDs for performability analysis and verification of stochastic systems
2003
The Journal of Logic and Algebraic Programming
This paper describes how to employ multi-terminal binary decision diagrams (MTBDDs) for the construction and analysis of a general class of models that exhibit stochastic, probabilistic and non-deterministic ...
MTBDD-based) representations of complex systems from small-scale components. ...
The main features of IM-CAT are: (1) Reading of elementary MTSs from file in a simple format as generated by the stochastic process algebra tool TIPPTOOL [53] and generating their MTBDD representation ...
doi:10.1016/s1567-8326(02)00066-8
fatcat:mmtbpgznhvcffgqfl2gfclvpli
Model Checking Continuous-Time Markov Chains by Transient Analysis
[chapter]
2000
Lecture Notes in Computer Science
., bisimulation), a well-known notion for aggregating CTMCs, preserves all CSL-formulas. ...
/p( 1 U I 2), for state formulas 1 and 2, comparison operator ./, probability p, and real interval I. ...
An e ective solution to this problem is to generate CTMCs from higher-level speci cations, like queueing networks, stochastic Petri nets 1], or stochastic process algebras 18, 22] . ...
doi:10.1007/10722167_28
fatcat:eiopm7zzvjgmzbhsr5quhvfmp4
Symmetry Reduction for Probabilistic Model Checking
[chapter]
2006
Lecture Notes in Computer Science
We then propose an efficient algorithm for the construction of the quotient model using a symbolic implementation based on multi-terminal binary decision diagrams (MTBDDs) and, using four large case studies ...
We present an approach for applying symmetry reduction techniques to probabilistic model checking, a formal verification method for the quantitative analysis of systems with stochastic characteristics. ...
BDD-based implementation. ...
doi:10.1007/11817963_23
fatcat:abl7efu2unbrvpfdmzoiuzyi7q
Model-checking large structured Markov chains
2003
The Journal of Logic and Algebraic Programming
This paper presents algorithms and experimental results for model-checking continuous-time Markov chains (CTMCs) based on a structured analysis approach. ...
Such representations can be obtained in a natural way from various high-level specification formalisms, such as stochastic extensions of Petri nets, process algebras or activity networks. ...
Examples of significant formalisms which are mapped onto CTMCs are stochastic Petri nets (SPNs) [18] , stochastic process algebras (SPAs) [9, 31, 35] , queueing networks (QNs) [14, 43] and stochastic ...
doi:10.1016/s1567-8326(02)00067-x
fatcat:veytjj6fyzbnnhp5cycj6nqkx4
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