A Vision of Collaborative Verification-Driven Engineering of Hybrid Systems

Hybrid systems with both discrete and continuous dynamics are an important model for real-world physical systems. The key challenge is how to ensure their correct functioning w.r.t. safety requirements. Promising techniques to ensure safety seem to be model-driven engineering to develop hybrid systems in a well-defined and traceable manner, and formal verification to prove their correctness. Their combination forms the vision of verification-driven engineering. Despite the remarkable progress in automating formal verification of hybrid systems, the construction of proofs of complex systems often requires significant human guidance, since hybrid systems verification tools solve undecidable problems. It is thus not uncommon for verification teams to consist of many players with diverse expertise. This paper introduces a verification-driven engineering toolset that extends our previous work on hybrid and arithmetic verification with tools for (i) modeling hybrid systems, (ii) exchanging and comparing models and proofs, and (iii) managing verification tasks. This toolset makes it easier to tackle large-scale verification tasks.

[1]  Lawrence C. Paulson,et al.  Real Algebraic Strategies for MetiTarski Proofs , 2012, AISC/MKM/Calculemus.

[2]  Goran Frehse,et al.  PHAVer: algorithmic verification of hybrid systems past HyTech , 2005, International Journal on Software Tools for Technology Transfer.

[3]  Rajeev Alur,et al.  Formal verification of hybrid systems , 2011, 2011 Proceedings of the Ninth ACM International Conference on Embedded Software (EMSOFT).

[4]  André Platzer,et al.  Differential-algebraic Dynamic Logic for Differential-algebraic Programs , 2010, J. Log. Comput..

[5]  Zohar Manna,et al.  Verification : theory and practice : essays dedicated to Zohar Manna on the occasion of his 64th birthday , 2004 .

[6]  André Platzer,et al.  Logical Analysis of Hybrid Systems - Proving Theorems for Complex Dynamics , 2010 .

[7]  Aniruddha S. Gokhale,et al.  Model driven middleware: A new paradigm for developing distributed real-time and embedded systems , 2008, Sci. Comput. Program..

[8]  Peter Müller,et al.  Collaborative Verification and Testing with Explicit Assumptions , 2012, FM.

[9]  Wpmh Maurice Heemels,et al.  Survey of modeling, analysis, and control of hybrid systems , 2009 .

[10]  Amir Pnueli,et al.  Revised Lectures from the International Symposium on Compositionality: The Significant Difference , 1997 .

[11]  Jean Bézivin,et al.  ATL: A model transformation tool , 2008, Sci. Comput. Program..

[12]  Thomas A. Henzinger,et al.  Extreme Model Checking , 2003, Verification: Theory and Practice.

[13]  Cesare Tinelli,et al.  The SMT-LIB Standard: Version 1.2 , 2005 .

[14]  T. Gowers,et al.  Massively collaborative mathematics , 2009, Nature.

[15]  André Platzer,et al.  KeYmaera: A Hybrid Theorem Prover for Hybrid Systems (System Description) , 2008, IJCAR.

[16]  Antoine Girard,et al.  SpaceEx: Scalable Verification of Hybrid Systems , 2011, CAV.

[17]  André Platzer,et al.  Adaptive Cruise Control: Hybrid, Distributed, and Now Formally Verified , 2011, FM.

[18]  André Platzer,et al.  European Train Control System: A Case Study in Formal Verification , 2009, ICFEM.

[19]  André Platzer,et al.  Stochastic Differential Dynamic Logic for Stochastic Hybrid Programs , 2011, CADE.

[20]  J. Lygeros,et al.  Computability of finite-time reachable sets for hybrid systems , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[21]  Nikolaj Bjørner,et al.  Z3: An Efficient SMT Solver , 2008, TACAS.

[22]  Judith Masthoff,et al.  SAsSy—scrutable autonomous systems , 2013 .

[23]  André Platzer,et al.  The Complete Proof Theory of Hybrid Systems , 2012, 2012 27th Annual IEEE Symposium on Logic in Computer Science.

[24]  Francis Thom,et al.  An Integrated MDA Approach with SysML and UML , 2008, 13th IEEE International Conference on Engineering of Complex Computer Systems (iceccs 2008).

[25]  André Platzer,et al.  A Complete Axiomatization of Quantified Differential Dynamic Logic for Distributed Hybrid Systems , 2012, Log. Methods Comput. Sci..

[26]  Manas Bajaj,et al.  Maestro – A model‐based systems engineering environment for complex electronic systems , 2012 .

[27]  Edmund M. Clarke,et al.  Computing differential invariants of hybrid systems as fixedpoints , 2008, Formal Methods Syst. Des..

[28]  Ernst-Rüdiger Olderog,et al.  Syspect - Modelling, Specifying, and Verifying Real-Time Systems with Rich Data , 2011, Int. J. Softw. Informatics.

[29]  Edmund M. Clarke,et al.  Formal Verification of Curved Flight Collision Avoidance Maneuvers: A Case Study , 2009, FM.

[30]  Orna Kupferman,et al.  Modular Model Checking , 1997, COMPOS.

[31]  André Platzer,et al.  Differential Dynamic Logic for Hybrid Systems , 2008, Journal of Automated Reasoning.

[32]  Edward A. Lee,et al.  Modeling Cyber–Physical Systems , 2012, Proceedings of the IEEE.

[33]  André Platzer,et al.  Towards Formal Verification of Freeway Traffic Control , 2012, 2012 IEEE/ACM Third International Conference on Cyber-Physical Systems.

[34]  Clark W. Barrett,et al.  The SMT-LIB Standard Version 2.0 , 2010 .

[35]  Grant Olney Passmore,et al.  Combined decision procedures for nonlinear arithmetics, real and complex , 2011 .

[36]  James H. Davenport,et al.  Real Quantifier Elimination is Doubly Exponential , 1988, J. Symb. Comput..

[37]  Fabrice Kordon,et al.  From Model Driven Engineering to Verification Driven Engineering , 2008, SEUS.

[38]  Michael Norrish,et al.  seL4: formal verification of an OS kernel , 2009, SOSP '09.

[39]  Wojciech Mostowski.  The KeY Syntax , 2007, The KeY Approach.

[40]  Peter Kazanzides,et al.  Certifying the safe design of a virtual fixture control algorithm for a surgical robot , 2013, HSCC '13.