Delay Analysis in Synchronous Programs

Linear relation analysis [CH78, Hal79] has been proposed a long time ago as an abstract interpretation which permits to discover linear relations invariantly satisfied by the variables of a program. Here, we propose to apply this general method to variables used to count delays in synchronous programs. The “regular” behavior of these counters makes the results of the analysis especially precise. These results can be applied to code optimization and to the verification of real-time properties of programs.

[1]  James C. Corbett,et al.  Verifying General Safety and Liveness Propterties with Integer Programming , 1992, CAV.

[2]  R. Alur.  Techniques for automatic verification of real-time systems , 1991 .

[3]  Patrick Cousot,et al.  Abstract interpretation: a unified lattice model for static analysis of programs by construction or approximation of fixpoints , 1977, POPL.

[4]  H. L. Verge.  A Note on Chernikova's algorithm , 1992 .

[5]  Enrico Macii,et al.  Verification of systems containing counters , 1992, 1992 IEEE/ACM International Conference on Computer-Aided Design.

[6]  Frédéric Boussinot,et al.  The ESTEREL language , 1991, Proc. IEEE.

[7]  Alan J. Hu,et al.  Protocol verification as a hardware design aid , 1992, Proceedings 1992 IEEE International Conference on Computer Design: VLSI in Computers & Processors.

[8]  Patrick Cousot,et al.  Comparing the Galois Connection and Widening/Narrowing Approaches to Abstract Interpretation , 1992, PLILP.

[9]  N. V. Chernikoba.  Algorithm for discovering the set of all the solutions of a linear programming problem , 1968 .

[10]  Florence Maraninchi,et al.  Verifying Quantitative Real-Time Properties of Synchronous Programs , 1993, CAV.

[11]  Rajeev Alur,et al.  Model-checking for real-time systems , 1990, [1990] Proceedings. Fifth Annual IEEE Symposium on Logic in Computer Science.

[12]  Kurt Keutzer,et al.  Design verification and reachability analysis using algebraic manipulation , 1991, [1991 Proceedings] IEEE International Conference on Computer Design: VLSI in Computers and Processors.

[13]  Nicolas Halbwachs,et al.  Automatic discovery of linear restraints among variables of a program , 1978, POPL.

[14]  Patrick Cousot,et al.  Abstract Interpretation and Application to Logic Programs , 1992, J. Log. Program..

[15]  Nicolas Halbwachs,et al.  Détermination automatique de relations linéaires vérifiées par les variables d'un programme , 1979 .