ProbReach: A Tool for Guaranteed Reachability Analysis of Stochastic Hybrid Systems

In this paper we present a summary of our work on probability reachability in stochastic hybrid systems (SHS). In particular, we give an overview of ProbReach, a tool for computing probabilistic reachability in SHS which we introduced in [18]. We also present and an overview of our recent theoretical extensions and modification of the tool.

[1]  Mark A. Stadtherr,et al.  Verified Solution and Propagation of Uncertainty in Physiological Models , 2011, Reliab. Comput..

[2]  Martin Fränzle,et al.  Statistical model checking for stochastic hybrid systems involving nondeterminism over continuous domains , 2014, International Journal on Software Tools for Technology Transfer.

[3]  Paolo Zuliani,et al.  ProbReach: verified probabilistic delta-reachability for stochastic hybrid systems , 2014, HSCC.

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

[5]  Joost-Pieter Katoen,et al.  Approximate Model Checking of Stochastic Hybrid Systems , 2010, Eur. J. Control.

[6]  Lijun Zhang,et al.  Safety Verification for Probabilistic Hybrid Systems , 2010, Eur. J. Control.

[7]  Sérgio Galdino.  Interval Integration Revisited , 2012 .

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

[9]  Alessandro Abate,et al.  Formula-free finite abstractions for linear temporal verification of stochastic hybrid systems , 2013, HSCC '13.

[10]  Edmund M. Clarke,et al.  Towards Personalized Cancer Therapy Using Delta-Reachability Analysis , 2014, ArXiv.

[11]  Gouhei Tanaka,et al.  A Mathematical Model of Intermittent Androgen Suppression for Prostate Cancer , 2008, J. Nonlinear Sci..

[12]  W. Hoeffding.  Probability Inequalities for sums of Bounded Random Variables , 1963 .

[13]  R. Hovorka,et al.  Partitioning glucose distribution/transport, disposal, and endogenous production during IVGTT. , 2002, American journal of physiology. Endocrinology and metabolism.

[14]  Wei Chen,et al.  dReach: δ-Reachability Analysis for Hybrid Systems , 2015, TACAS.

[15]  Martin Fränzle,et al.  Engineering constraint solvers for automatic analysis of probabilistic hybrid automata , 2010, J. Log. Algebraic Methods Program..

[16]  Edmund M. Clarke,et al.  δ-Complete Decision Procedures for Satisfiability over the Reals , 2012, IJCAR.

[17]  John Lygeros,et al.  On the connections between PCTL and dynamic programming , 2009, HSCC '10.

[18]  Edmund M. Clarke,et al.  dReal: An SMT Solver for Nonlinear Theories over the Reals , 2013, CADE.

[19]  Wang Yi,et al.  Uppaal in a nutshell , 1997, International Journal on Software Tools for Technology Transfer.

[20]  Sriram Sankaranarayanan,et al.  Simulating Insulin Infusion Pump Risks by In-Silico Modeling of the Insulin-Glucose Regulatory System , 2012, CMSB.

[21]  Lijun Zhang,et al.  Measurability and safety verification for stochastic hybrid systems , 2011, HSCC '11.