Applying abstract acceleration to (co-)reachability analysis of reactive programs

@article{Schrammel2012ApplyingAA,
  title={Applying abstract acceleration to (co-)reachability analysis of reactive programs},
  author={P. Schrammel and Bertrand Jeannet},
  journal={J. Symb. Comput.},
  year={2012},
  volume={47},
  pages={1512-1532}
}
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17 Citations
Background Citations
8
Methods Citations
5

17 Citations

Unbounded-Time Safety Verification of Guarded LTI Models with Inputs by Abstract Acceleration

This article focuses on sound safety verification of unbounded-time (infinite-horizon) linear time-invariant (LTI) models with inputs with inputs using reachability analysis using counterexample-guided Abstract Acceleration.

Unbounded-Time Analysis of Guarded LTI Systems with Inputs by Abstract Acceleration

An extension of abstract acceleration to linear loops with inputs, which correspond to discrete-time LTI control systems, is presented and performance increases by several orders of magnitude over alternative approaches in the literature.

Unbounded-time reachability analysis of hybrid systems by abstract acceleration

  • P. Schrammel
  • Computer Science
    2015 International Conference on Embedded Software (EMSOFT)
  • 2015
Linear dynamical systems are ubiquitous in hybrid systems, both as physical models or as software control modules. Therefore we need an unbounded-time reachability analysis that can cope with…

Deadlock-free discrete controller synthesis for infinite state systems

Using abstract interpretation techniques involving disjunctive polyhedral over-approximations, effective symbolic algorithms are provided allowing to solve the deadlock-free safety control problem while overcoming previous limitations regarding the non-convexity of the set of states violating the invariant to enforce.

Logico-Numerical Verification Methods for Discrete and Hybrid Systems

A unified approach to the verification of discrete and hybrid logico-numerical systems based on abstract interpretation, which is capable of integrating sophisticated numerical abstract interpretation methods while successfully trading precision for efficiency is proposed.

Abstract acceleration of general linear loops

The approach finds non-trivial invariants to prove useful bounds on the values of variables for such loops, clearly outperforming the existing approaches in terms of precision while exhibiting good performance.

Acceleration in Linear Relation Analysis

Linear relation analysis is a classical abstract interpretation based on an over-approximation of reachable numerical states of a program by convex polyhedra. Since it works with a lattice of infinite…

Abstract Acceleration in Linear relation analysis (extended version)

This research report gives a comprehensive tutorial on abstract acceleration: its origins in Presburger-based acceleration including new insights w.r.t. the linear accelerability of linear transformations, methods for simple and nested loops, recent extensions, tools and applications, and a detailed discussion of related methods and future perspectives.

Logico-Numerical Max-Strategy Iteration

This paper proposes a method for applying max-strategy iteration to logico-numerical programs, i.e. programs with numerical and Boolean variables, without explicitly enumerating the Boolean state space, and gives experimental evidence about the efficiency and precision of the approach.

Abstract acceleration in linear relation analysis

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