COACHMAN: COmplexity Analyzer for Concurrent Heap-MANipulating programs
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Coachman is a COmplexity Analyzer for Concurrent Heap-MANipulating programs.

It implements

  • translation from heap-manipulating programs to integer programs from [1] (slightly extended for atomic transitions)
  • rely-guarantee bound analysis from [2]
  • sequential bound analysis based on [3]


The easiest way to get coachman running is in a Docker container – other build options are listed below.

$ docker pull thpani/coachman
$ docker run -it thpani/coachman

Case studies

Several case studies are provided in directory test/e2e. For example, run the following to obtain complexity results for Treiber's stack:

$ cd test/e2e/treiber
$ coachman treiber.tiny treiber.heap treiber.summaries



$ git clone coachman
$ docker build -t coachman coachman
$ docker run -it coachman

Linux / MacOS

We assume you have a recent version of OCaml and opam installed.

$ git clone coachman
$ opam pin add -n coachman coachman
$ opam depext -i coachman
$ export LD_LIBRARY_PATH="$(opam config var z3:lib)/z3:${LD_LIBRARY_PATH}"     # for Linux
$ export DYLD_LIBRARY_PATH="$(opam config var z3:lib)/z3:${LD_LIBRARY_PATH}"   # for MacOS


[1] A. Bouajjani, M. Bozga, P. Habermehl, R. Iosif, P. Moro, and T. Vojnar: “Programs with lists are counter automata”. Formal Methods in System Design, vol. 38, no. 2, pp. 158–192, 2011.
[2] T. Pani, G. Weissenbacher, F. Zuleger: “Rely-Guarantee Reasoning for Automated Complexity Analysis of Non-Blocking Algorithms”. FMCAD 2018 (to appear). (PDF)
[3] M. Sinn, F. Zuleger, and H. Veith: “Complexity and resource bound analysis of imperative programs using difference constraints”. J. Autom. Reasoning, vol. 59, no. 1, pp. 3–45, 2017.