ARCH-COMP19 Category Report: Stochastic Modelling

This report presents the results of a friendly competition for formal verification and policy synthesis of stochastic models. It also introduces new benchmarks within this category, and recommends next steps for this category towards next year’s edition of the competition. The friendly competition took place as part of the workshop Applied Verification for Continuous and Hybrid Systems (ARCH) in Spring 2019.

[1]  Henk A. P. Blom,et al.  Hybrid State Petri Nets which Have the Analysis Power of Stochastic Hybrid Systems and the Formal Verification Power of Automata , 2010 .

[2]  Sean Sedwards,et al.  A Statistical Model Checker for Nondeterminism and Rare Events , 2018, TACAS.

[3]  Henk A. P. Blom,et al.  Bisimulation Relations Between Automata, Stochastic Differential Equations and Petri Nets , 2009, FMA.

[4]  Meeko M. K. Oishi,et al.  Forward Stochastic Reachability Analysis for Uncontrolled Linear Systems using Fourier Transforms , 2016, HSCC.

[5]  Sebastian Junges,et al.  A Storm is Coming: A Modern Probabilistic Model Checker , 2017, CAV.

[6]  Petter Nilsson,et al.  Temporal Logic Control of POMDPs via Label-based Stochastic Simulation Relations , 2018, ADHS.

[7]  Marco Gribaudo,et al.  Hybrid Petri nets with general one-shot transitions , 2016, Perform. Evaluation.

[8]  Alessandro Abate,et al.  FAUST 2 : Formal Abstractions of Uncountable-STate STochastic Processes , 2014, TACAS.

[9]  Anne Remke,et al.  HYPEG: Statistical Model Checking for hybrid Petri nets: Tool Paper , 2017, VALUETOOLS.

[10]  Georg Frey,et al.  PROBABILISTIC HYBRID AUTOMATA WITH VARIABLE STEP WIDTH APPLIED TO THE ANAYLSIS OF NETWORKED AUTOMATION SYSTEMS , 2006 .

[11]  Alessandro Abate,et al.  Probabilistic Reach-Avoid Computation for Partially Degenerate Stochastic Processes , 2014, IEEE Transactions on Automatic Control.

[12]  Manfred Morari,et al.  Multi-Parametric Toolbox 3.0 , 2013, 2013 European Control Conference (ECC).

[13]  Meeko M. K. Oishi,et al.  Scalable Underapproximative Verification of Stochastic LTI Systems using Convexity and Compactness , 2018, HSCC.

[14]  Sriram Sankaranarayanan,et al.  Uncertainty Propagation Using Probabilistic Affine Forms and Concentration of Measure Inequalities , 2016, TACAS.

[15]  Alessandro Abate,et al.  \mathsf StocHy : Automated Verification and Synthesis of Stochastic Processes , 2019, TACAS.

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[17]  John Lygeros,et al.  Probabilistic reachability and safety for controlled discrete time stochastic hybrid systems , 2008, Autom..

[18]  Sofie Haesaert,et al.  ARCH-COMP18 Category Report: Stochastic Modelling , 2018, ARCH@ADHS.

[19]  Holger Hermanns,et al.  The Modest Toolset: An Integrated Environment for Quantitative Modelling and Verification , 2014, TACAS.

[20]  Meeko M. K. Oishi,et al.  Stochastic reachability of a target tube: Theory and computation , 2018, Autom..

[21]  Meeko M. K. Oishi,et al.  Underapproximation of reach-avoid sets for discrete-time stochastic systems via Lagrangian methods , 2017, 2017 IEEE 56th Annual Conference on Decision and Control (CDC).

[22]  Anne Remke,et al.  Statistical Model Checking for Hybrid Petri Nets with Multiple General Transitions , 2017, 2017 47th Annual IEEE/IFIP International Conference on Dependable Systems and Networks (DSN).

[23]  John Lygeros,et al.  Toward a General Theory of Stochastic Hybrid Systems , 2006 .

[24]  Anne Remke,et al.  HPnGs go Non-Linear: Statistical Dependability Evaluation of Battery-Powered Systems , 2018, 2018 IEEE 26th International Symposium on Modeling, Analysis, and Simulation of Computer and Telecommunication Systems (MASCOTS).

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[26]  John Lygeros,et al.  Verification of discrete time stochastic hybrid systems: A stochastic reach-avoid decision problem , 2010, Autom..

[27]  Henk A. P. Blom,et al.  Compositional Specification of a Multi-Agent System by Stochastically and Dynamically Coloured Petri Nets , 2006 .

[28]  Meeko M. K. Oishi,et al.  SReachTools: a MATLAB stochastic reachability toolbox , 2019, HSCC.

[29]  Meeko M. K. Oishi,et al.  Scalable Underapproximation for Stochastic Reach-Avoid Problem for High-Dimensional LTI Systems using Fourier Transforms , 2017, ArXiv.

[30]  Henk A. P. Blom,et al.  Piecewise deterministic Markov processes represented by dynamically coloured Petri nets , 2005 .

[31]  Martin Fränzle,et al.  Constraint-based analysis of concurrent probabilistic hybrid systems: An application to networked automation systems ☆ , 2011 .

[32]  Daniele Codetta-Raiteri.  Modeling and simulating a benchmark on dynamic reliability as a Stochastic Activity Network , 2011 .

[33]  Alessandro Abate,et al.  Probabilistic invariance of mixed deterministic-stochastic dynamical systems , 2012, HSCC '12.

[34]  Sofie Haesaert,et al.  Certified policy synthesis for general Markov decision processes: An application in building automation systems , 2017, Perform. Evaluation.

[35]  Marta Z. Kwiatkowska,et al.  PRISM 4.0: Verification of Probabilistic Real-Time Systems , 2011, CAV.

[36]  Boudewijn R. Haverkort,et al.  Survivability analysis of a sewage treatment facility using hybrid Petri nets , 2016, Perform. Evaluation.

[37]  Rupak Majumdar,et al.  Approximate Time Bounded Reachability for CTMCs and CTMDPs: A Lyapunov Approach , 2018, QEST.

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[39]  Enrico Zio,et al.  Advanced RESTART method for the estimation of the probability of failure of highly reliable hybrid dynamic systems , 2016, Reliab. Eng. Syst. Saf..

[40]  Luca Cardelli,et al.  Efficiency through uncertainty: scalable formal synthesis for stochastic hybrid systems , 2019, HSCC.

[41]  F. Gland,et al.  Genetic genealogical models in rare event analysis , 2006 .

[42]  Ian M. Mitchell,et al.  Benchmark Problem: A PK/PD Model and Safety Constraints for Anesthesia Delivery , 2014, ARCH@CPSWeek.

[43]  Holger Hermanns,et al.  A tool for model-checking Markov chains , 2003, International Journal on Software Tools for Technology Transfer.

[44]  Henk A. P. Blom,et al.  Free flight collision risk estimation by sequential Monte Carlo simulation , 2006 .

[45]  Alessandro Abate,et al.  Adaptive and Sequential Gridding Procedures for the Abstraction and Verification of Stochastic Processes , 2013, SIAM J. Appl. Dyn. Syst..

[46]  Pedro R. D'Argenio,et al.  Better Automated Importance Splitting for Transient Rare Events , 2017, SETTA.

[47]  Boudewijn R. Haverkort,et al.  Survivability Evaluation of Fluid Critical Infrastructures Using Hybrid Petri Nets , 2013, 2013 IEEE 19th Pacific Rim International Symposium on Dependable Computing.

[48]  Sofie Haesaert,et al.  Verification of General Markov Decision Processes by Approximate Similarity Relations and Policy Refinement , 2016, QEST.

[49]  Hao Ma,et al.  Interacting Particle System-based Estimation of Reach Probability for a Generalized Stochastic Hybrid System , 2018, ADHS.

[50]  Joost-Pieter Katoen,et al.  A compositional modelling and analysis framework for stochastic hybrid systems , 2012, Formal Methods in System Design.

[51]  Alessandro Abate,et al.  Quantitative Approximation of the Probability Distribution of a Markov Process by Formal Abstractions , 2015, Log. Methods Comput. Sci..

[52]  S. Esmaeil Zadeh Soudjani,et al.  Formal Abstractions for Automated Verification and Synthesis of Stochastic Systems , 2014 .