Abstract Interpretation with Infinitesimals: Towards Scalability in Nonstandard Static Analysis

12 pages•Published: December 18, 2015

Kengo Kido, Swarat Chaudhuri and Ichiro Hasuo

Abstract

Towards the goal of correctness and reliability of hybrid systems, we continue our nonstandard static analysis program (with Suenaga and Sekine) where hybrid dynamics is turned into purely discrete one with explicit use of infinitesimals. While our previous results have focused on deductive verification by program logics, the current work aims at automation and enhanced scalability by extending abstract interpretation—a technique known for its ample scalability and widespread use in various verification tools—with infinitesimals. Our theoretical results include soundness and termination via uniform widening operators; and our prototype implementation successfully verifies some benchmark examples.

Keyphrases: abstract interpretation, hybrid system, nonstandard analysis, reachability analysis, symbolic analysis

In: Sergiy Bogomolov and Ashish Tiwari (editors). Symbolic and Numerical Methods for Reachability Analysis, 1st International Workshop, SNR 2015, vol 37, pages 11-22.

Links:	https://easychair.org/publications/paper/jTC
	https://doi.org/10.29007/rls3

BibTeX entry

@inproceedings{SNR2015:Abstract_Interpretation_with_Infinitesimals,
  author    = {Kengo Kido and Swarat Chaudhuri and Ichiro Hasuo},
  title     = {Abstract Interpretation with Infinitesimals: Towards Scalability in Nonstandard Static Analysis},
  booktitle = {Symbolic and Numerical Methods for Reachability Analysis, 1st International Workshop, SNR 2015},
  editor    = {Sergiy Bogomolov and Ashish Tiwari},
  series    = {EPiC Series in Computing},
  volume    = {37},
  publisher = {EasyChair},
  bibsource = {EasyChair, https://easychair.org},
  issn      = {2398-7340},
  url       = {/publications/paper/jTC},
  doi       = {10.29007/rls3},
  pages     = {11-22},
  year      = {2015}}

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