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Verification via biSimulations of Max-Plus-Linear models

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This toolbox is used to generate finite abstractions of autonomous Max-Plus-Linear (MPL) systems over R^n. Abstractions are characterized as finite-state Labeled Transition Systems (LTS). The LTS finite abstractions are shown to either simulate or to bisimulate the original MPL system. LTS models are to be verified against given specifications expressed as formulae in Linear Temporal Logic (LTL) and Computation Tree Logic (CTL). The toolbox intends to leverage the NuSMV model checker. Models are to be expressed in the C++ language. The abstraction procedure runs in C++. The generated LTS is exported to the NuSMV language. As such, it can be fed, along with a specification of interest, to the NuSMV model checker.

If you are more familiar with JAVA language, we suggest you to try VeriSiMPL version 2.0 which is fully based on JAVA.

If you are more familiar with MATLAB language, we suggest you to try VeriSiMPL version 1.4 which is fully based on MATLAB.

VeriSiMPL Web Site


  • Generate finite-state LTS abstraction from an MPL system using list and tree data structure
  • Generate Piece-wise Affine representation from an MPL system
  • Verify an MPL system against an LTL or CTL formula
  • Visualize the TS in Graphviz (Version 1.4)
  • Export autonomous model to PWA system in MPT structure (Version 1.4)
  • Reachability analysis of MPL systems (Version 1.4)
  • GUI for abstraction and verification of autonomous MPL systems (Version 1.4)
  • GUI for forward reachability of autonomous MPL systems (Version 1.4)


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