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Model Checking Probabilistic Distributed Systems [chapter]

Benedikt Bollig, Martin Leucker
<span title="">2003</span> <i title="Springer Berlin Heidelberg"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2w3awgokqne6te4nvlofavy5a4" style="color: black;">Lecture Notes in Computer Science</a> </i> &nbsp;
The main result of the paper is a model-checking procedure for PPA and LTL ⊗ . With its help, it is possible to check qualitative properties of distributed systems automatically.  ...  We introduce probabilistic product automata (PPA) as a natural model for this kind of systems. To reason about these systems, we propose to use a product version of linear temporal logic (LTL ⊗ ).  ...  Section 3 presents our model for distributed probabilistic systems, probabilistic product automata. LTL ⊗ is defined in Section 4.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-540-40965-6_19">doi:10.1007/978-3-540-40965-6_19</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/hxxc4l4n3jafladqs5ykh4mebe">fatcat:hxxc4l4n3jafladqs5ykh4mebe</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200321090145/https://www.isp.uni-luebeck.de/sites/default/files/publications/asian03_1.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/93/6c/936ce218ec1cbf82e8e4b3b6f39beb9027687cc8.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-540-40965-6_19"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

Rigorous Performance Evaluation of Self-Stabilization Using Probabilistic Model Checking

Narges Fallahi, Borzoo Bonakdarpour, Sebastien Tixeuil
<span title="">2013</span> <i title="IEEE"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/vb3ehoarofgm5p24f2dqjxmp3a" style="color: black;">2013 IEEE 32nd International Symposium on Reliable Distributed Systems</a> </i> &nbsp;
We utilize a deep analysis technique, namely, probabilistic model checking to rigorously compute our proposed metric. All our claims are backed by detailed case studies and experiments.  ...  faults (or equally, the initial state of the system can be some arbitrary state).  ...  PRELIMINARIES In this section, we describe the preliminary concepts on distributed systems, probabilistic model checking, and selfstabilization. A.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/srds.2013.24">doi:10.1109/srds.2013.24</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/srds/FallahiBT13.html">dblp:conf/srds/FallahiBT13</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/uao7ikenezdytjlmv7k3zuzymy">fatcat:uao7ikenezdytjlmv7k3zuzymy</a> </span>
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Probabilistic Model Checking of Non-Markovian Models with Concurrent Generally Distributed Timers

Andr´s Horv´th, Marco Paolieri, Lorenzo Ridi, Enrico Vicario
<span title="">2011</span> <i title="IEEE"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/mr2re5en4rajnjdlytdvj35iyy" style="color: black;">2011 Eighth International Conference on Quantitative Evaluation of SysTems</a> </i> &nbsp;
In the analysis of stochastic concurrent timed models, probabilistic model checking combines qualitative identification of feasible behaviors with quantitative evaluation of their probability.  ...  We show how transient stochastic state classes can be used to perform bounded probabilistic model checking also for models with underlying GSMPs, and we characterize the conditions for termination of the  ...  USING TRANSIENT STOCHASTIC STATE CLASSES IN PROBABILISTIC MODEL CHECKING A.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/qest.2011.23">doi:10.1109/qest.2011.23</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/qest/HorvathPRV11.html">dblp:conf/qest/HorvathPRV11</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/hqi5sb4qkbgw7p7dxin4z6cyoy">fatcat:hqi5sb4qkbgw7p7dxin4z6cyoy</a> </span>
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QoS Analysis of Real-Time Distributed Systems Based on Hybrid Analysis of Probabilistic Model Checking Technique and Simulation

Takeshi NAGAOKA, Akihiko ITO, Kozo OKANO, Shinji KUSUMOTO
<span title="">2011</span> <i title="Institute of Electronics, Information and Communications Engineers (IEICE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/xosmgvetnbf4zpplikelekmdqe" style="color: black;">IEICE transactions on information and systems</a> </i> &nbsp;
Probabilistic model checking can evaluate performance, dependability and stability of information processing systems with random behaviors.  ...  We apply a hybrid analysis approach onto real-time distributed systems.  ...  Then, we verify qualitative properties using the probabilistic model checking techniques. As the target real-time distributed system, we use an experimental system shown in Fig. 1 .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1587/transinf.e94.d.958">doi:10.1587/transinf.e94.d.958</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/77t7hb5hmrcjzhz6l57vujuxou">fatcat:77t7hb5hmrcjzhz6l57vujuxou</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20181103172430/https://www.jstage.jst.go.jp/article/transinf/E94.D/5/E94.D_5_958/_pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/5c/01/5c013618c849e61f16f0d1eb8db059d777ee2fc7.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1587/transinf.e94.d.958"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Formal analysis techniques for gossiping protocols

Rena Bakhshi, Francois Bonnet, Wan Fokkink, Boudewijn Haverkort
<span title="2007-10-01">2007</span> <i title="Association for Computing Machinery (ACM)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/i24hgue5erh4haqtfyyjvfijdu" style="color: black;">ACM SIGOPS Operating Systems Review</a> </i> &nbsp;
Approximate and Statistical Probabilistic Model Checking An alternative approach to cope with state explosion for probabilistic systems is found in approximate probabilistic model checking.  ...  Probabilistic and Stochastic Model Checking In probabilistic and stochastic model checking, the underlying system model is not represented by an automaton, but instead as a stochastic process of some sort  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1145/1317379.1317385">doi:10.1145/1317379.1317385</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ppg5garcsrbr3b7ugdijxvs3mu">fatcat:ppg5garcsrbr3b7ugdijxvs3mu</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170706052945/http://www.few.vu.nl/%7Erbakhshi/papers/position.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/f9/a7/f9a7d01b3f833dc8a4ebe59d1eedf6d85ea8a06e.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1145/1317379.1317385"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> acm.org </button> </a>

Quantitative Safety: Linking Proof-Based Verification with Model Checking for Probabilistic Systems

Ukachukwu Ndukwu
<span title="2009-12-10">2009</span> <i title="Open Publishing Association"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/qzezkwolyvf33pglm2jldjklca" style="color: black;">Electronic Proceedings in Theoretical Computer Science</a> </i> &nbsp;
Quantitative safety properties usually specified as probabilistic system invariants and modeled in proof-based environments are evaluated using bounded model checking techniques.  ...  This paper presents a novel approach for augmenting proof-based verification with performance-style analysis of the kind employed in state-of-the-art model checking tools for probabilistic systems.  ...  Introduction There are two main techniques for investigating quantitative properties of probabilistic systems behaviours: Probabilistic model checking comprises the formalisation of a model (which describes  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.4204/eptcs.13.3">doi:10.4204/eptcs.13.3</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/awt2hyfejvdyhnz3iigmwmsm7q">fatcat:awt2hyfejvdyhnz3iigmwmsm7q</a> </span>
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Model Checking Probabilistic Real-Time Properties for Service-Oriented Systems with Service Level Agreements

Christian Krause, Holger Giese
<span title="2011-11-11">2011</span> <i title="Open Publishing Association"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/qzezkwolyvf33pglm2jldjklca" style="color: black;">Electronic Proceedings in Theoretical Computer Science</a> </i> &nbsp;
In this paper, we suggest to employ the recently introduced model of Interval Probabilistic Timed Automata (IPTA) for formal verification of QoS properties of service-oriented systems.  ...  We have developed the first implementation of an IPTA model checker by extending the PRISM tool and show that model checking IPTA is only slightly more expensive than model checking comparable PTA.  ...  of PTA or IPTA, we can now employ model checking to verify probabilistic real-time properties for the composed system, specified in an appropriate probabilistic real-time logic.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.4204/eptcs.73.8">doi:10.4204/eptcs.73.8</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/vgvwm6k7yza7vmrtr2yvrxgddq">fatcat:vgvwm6k7yza7vmrtr2yvrxgddq</a> </span>
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PRISM: A Tool for Automatic Verification of Probabilistic Systems [chapter]

Andrew Hinton, Marta Kwiatkowska, Gethin Norman, David Parker
<span title="">2006</span> <i title="Springer Berlin Heidelberg"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2w3awgokqne6te4nvlofavy5a4" style="color: black;">Lecture Notes in Computer Science</a> </i> &nbsp;
Probabilistic model checking is an automatic formal verification technique for analysing quantitative properties of systems which exhibit stochastic behaviour.  ...  PRISM is a probabilistic model checking tool which has already been successfully deployed in a wide range of application domains, from real-time communication protocols to biological signalling pathways  ...  Overview Probabilistic model checking is an automatic formal verification technique for the analysis of systems which exhibit stochastic behaviour.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/11691372_29">doi:10.1007/11691372_29</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/qksgy2exbnhnfao2vxq75l6j5q">fatcat:qksgy2exbnhnfao2vxq75l6j5q</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20181030094813/https://link.springer.com/content/pdf/10.1007%2F11691372_29.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/d2/94/d294a44e9ad10d688b0b2e954640405e1277a2d0.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/11691372_29"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

ProbDiVinE: A Parallel Qualitative LTL Model Checker

Jiri Barnat, Lubos Brim, Ivana Cema, Milan Ceska, Jana Tumova
<span title="">2007</span> <i title="IEEE"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/mr2re5en4rajnjdlytdvj35iyy" style="color: black;">Fourth International Conference on the Quantitative Evaluation of Systems (QEST 2007)</a> </i> &nbsp;
We introduce a parallel model checker for checking Markov decision processes against linear time properties.  ...  The model checker extends the parallel model checker Di-VinE and supports verification of qualitative properties.  ...  Model checking of probabilistic systems branches into qualitative and quantitative approach.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/qest.2007.13">doi:10.1109/qest.2007.13</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/qest/BarnatBCCT07.html">dblp:conf/qest/BarnatBCCT07</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/i3e6itc5drgajaxvjkrln2nxyy">fatcat:i3e6itc5drgajaxvjkrln2nxyy</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170820035844/https://www.computer.org/csdl/proceedings/qest/2007/2883/00/28830215.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/11/4b/114b60455d9e964684adf60dc85a7fbfadc4aca3.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/qest.2007.13"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

PRISM 2.0: a tool for probabilistic model checking

M. Kwiatkowska, G. Norman, D. Parker
<span title="">2004</span> <i title="IEEE"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/mr2re5en4rajnjdlytdvj35iyy" style="color: black;">First International Conference on the Quantitative Evaluation of Systems, 2004. QEST 2004. Proceedings.</a> </i> &nbsp;
This paper gives a brief overview of version 2.0 of PRISM, a tool for the automatic formal verification of probabilistic systems, and some of the case studies to which it has already been applied.  ...  This paper describes the probabilistic model checking tool PRISM.  ...  Probabilistic model checking is an automatic, formal method for establishing the correctness, performance and reliability of systems which exhibit random behaviour.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/qest.2004.1348048">doi:10.1109/qest.2004.1348048</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/qest/KwiatkowskaNP04.html">dblp:conf/qest/KwiatkowskaNP04</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/lmeds6kb2zbwvix4fh7j7tawwi">fatcat:lmeds6kb2zbwvix4fh7j7tawwi</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170706084555/http://www.prismmodelchecker.org/papers/qest04.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/77/f5/77f5d5d4bdee938e7ffc9926863f12d16d4ccc98.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/qest.2004.1348048"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

Model Checking Epistemic and Probabilistic Properties of Multi-agent Systems [chapter]

Wei Wan, Jamal Bentahar, Abdessamad Ben Hamza
<span title="">2011</span> <i title="Springer Berlin Heidelberg"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2w3awgokqne6te4nvlofavy5a4" style="color: black;">Lecture Notes in Computer Science</a> </i> &nbsp;
We extend the formalism of interpreted systems by adding probabilistic features to suit DTMC models and to present the model checking algorithm for our logic.  ...  In order to check epistemic (i.e knowledge) and measurable properties in multi-agent systems, we propose a new logic P CT LK, which uses probabilistic, epistemic, and temporal modal operators.  ...  One of the most popular operational probabilistic models is Markov chain [1] , which is a transition system with probability distributions over the transitions.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-642-21827-9_8">doi:10.1007/978-3-642-21827-9_8</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/cxabmb7eb5bk7ekodqau4ilcie">fatcat:cxabmb7eb5bk7ekodqau4ilcie</a> </span>
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Model Checking Hierarchical Probabilistic Systems [chapter]

Jun Sun, Songzheng Song, Yang Liu
<span title="">2010</span> <i title="Springer Berlin Heidelberg"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2w3awgokqne6te4nvlofavy5a4" style="color: black;">Lecture Notes in Computer Science</a> </i> &nbsp;
Probabilistic modeling is important for random distributed algorithms, bio-systems or decision processes.  ...  Probabilistic model checking is a systematic way of analyzing finite-state probabilistic models. Existing probabilistic model checkers have been designed for simple systems without hierarchy.  ...  Probabilistic model checking is a systematic way of analyzing finite-state probabilistic systems.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-642-16901-4_26">doi:10.1007/978-3-642-16901-4_26</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/kvhgbjdj6zhjpi5ef4bdxszq4a">fatcat:kvhgbjdj6zhjpi5ef4bdxszq4a</a> </span>
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Optimizing Robotic Team Performance with Probabilistic Model Checking [chapter]

Sagar Chaki, Joseph Giampapa, David Kyle, John Lehoczky
<span title="">2014</span> <i title="Springer International Publishing"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2w3awgokqne6te4nvlofavy5a4" style="color: black;">Lecture Notes in Computer Science</a> </i> &nbsp;
Error Estimation • Probabilistic Model Checking itself has no error; given a model, it finds exact probabilities. • However, modeling a robotic system will certainly not be perfect. • Many kinds of error  ...  Probabilistic Model Checking relies on discrete states -Given an imperfect model based on finite observations, how does that impact predictions? 2. Robots interact.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-319-11900-7_12">doi:10.1007/978-3-319-11900-7_12</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/azqtxavwjzcx7i2vmeu3o5mvmq">fatcat:azqtxavwjzcx7i2vmeu3o5mvmq</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20150916134232/http://www.contrib.andrew.cmu.edu/~schaki/publications/SIMPAR-2014-Slides.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/46/9b/469b0e3ef6975620f59863f83a87838adcce7a9a.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-319-11900-7_12"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

High Assurance for Distributed Cyber Physical Systems

Scott A. Hissam, Sagar Chaki, Gabriel A. Moreno
<span title="">2015</span> <i title="ACM Press"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/5vajcmhuwzfutfhsijsw55swj4" style="color: black;">Proceedings of the 2015 European Conference on Software Architecture Workshops - ECSAW &#39;15</a> </i> &nbsp;
Challenges: • Unbounded Model Checking Synchronous Software • Unbounded Model Checking Asynchronous Software Chaki, S., Edmondson, J., "Model-Driven Verifying Compilation of Synchronous Distributed  ...  Checking • Real-Time Schedulability • Functional Verification Validation Thrusts • Model Problem • Workbench Software for probabilistic requirements, e.g., adaptive path- planner to maximize  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1145/2797433.2797439">doi:10.1145/2797433.2797439</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/ecsa/HissamCM15.html">dblp:conf/ecsa/HissamCM15</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/rsdc5rja4vgsban2gwxqrs7z7a">fatcat:rsdc5rja4vgsban2gwxqrs7z7a</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170812105836/http://ecsa-conference.org/2015/asds/presentations/ASDS-Hissam-0945-v3.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/d7/ae/d7ae02a6aac2eded88e2eda768bb5c9172452032.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1145/2797433.2797439"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> acm.org </button> </a>

Assume-Guarantee Verification for Probabilistic Systems [chapter]

Marta Kwiatkowska, Gethin Norman, David Parker, Hongyang Qu
<span title="">2010</span> <i title="Springer Berlin Heidelberg"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2w3awgokqne6te4nvlofavy5a4" style="color: black;">Lecture Notes in Computer Science</a> </i> &nbsp;
In addition, the compositional verification method is efficient and fully automated, based on a reduction to the problem of multi-objective probabilistic model checking.  ...  model checked, in PRISM. † Results are maximum probabilities of error so actual values are these subtracted from 1.  ...  We also introduce safety properties, in the context of probabilistic systems, and discuss multi-objective model checking.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-642-12002-2_3">doi:10.1007/978-3-642-12002-2_3</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/kzcdr7obtjf2fexu66vrlpfp3y">fatcat:kzcdr7obtjf2fexu66vrlpfp3y</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180727031904/https://link.springer.com/content/pdf/10.1007%2F978-3-642-12002-2_3.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/ea/d4/ead4f5e0d846ce601deff393df56500d065d5c14.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-642-12002-2_3"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>
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