Reducing Extension Edges of Concurrent Programs for Reachability Analysis

  • Cong TianEmail author
  • Jiaying Wang
  • Zhenhua Duan
  • Liang Zhao
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11346)


Predicate abstraction technique makes boolean programs a simple and popular model for program verification, of which the state reachability problem is decidable. However, the existing approach to reachability analysis of a concurrent boolean program, by applying the backward search (BWS) algorithm to the thread transition diagram (TTD) of the program, is of high complexity. To accelerate this approach, a method that expands the TTD with a kind of expansion edges and summarizes each path in the expanded TTD into a set of Presburger formulas has been proposed, so that the reachability problem is reduced to the satisfiability of the summary formulas. In this paper, we present a method for reachability analysis of concurrent boolean programs which improves the existing work in two aspects. First, with refined constraints on edge expansion, only a small number of expansion edges are required to be added to the TTD, which reduces the space consumption. Second, with optimized algorithm of path summarization using counter abstraction, less local state counters are dealt with and less summary formulas are generated. We have implemented the method and evaluated it on a large set of benchmark concurrent boolean programs. Experimental results show its efficiency on summarization and verification.


Concurrent programs Thread transition diagram Reachability Boolean programs Backward search 


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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Cong Tian
    • 1
    Email author
  • Jiaying Wang
    • 1
  • Zhenhua Duan
    • 1
  • Liang Zhao
    • 1
  1. 1.ICTT and ISN LabXidian UniversityXi’anPeople’s Republic of China

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