Chapter

Reachability Problems

Volume 8169 of the series Lecture Notes in Computer Science pp 23-44

Reachability Modulo Theories

  • Akash LalAffiliated withMicrosoft Research
  • , Shaz QadeerAffiliated withMicrosoft Research

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Abstract

Program verifiers that attempt to verify programs automatically pose the verification problem as the decision problem: Does there exist a proof that establishes the absence of errors? In this paper, we argue that program verification should instead be posed as the following decision problem: Does there exist an execution that establishes the presence of an error? We formalize the latter problem as Reachability Modulo Theories (RMT) using an imperative programming language parameterized by a multi-sorted first-order signature. We present complexity results, algorithms, and the Corral solver for the RMT problem. We present our experience using Corral on problems from a variety of application domains.