Testing using CSP Models: Time, Inputs, and Outputs

Author:

Baxter James1ORCID,Cavalcanti Ana1ORCID,Gazda Maciej2ORCID,Hierons Robert M.2ORCID

Affiliation:

1. University of York, York, UK

2. University of Sheffield, Sheffield, UK

Abstract

The existing testing theories for CSP cater for verification of interaction patterns (traces) and deadlocks, but not time. We address here refinement and testing based on a dialect of CSP, called tock -CSP, which can capture discrete time properties. This version of CSP has been of widespread interest for decades; recently, it has been given a denotational semantics, and model checking has become possible using a well established tool. Here, we first equip tock -CSP with a novel semantics for testing, which distinguishes input and output events: the standard models of ( tock -)CSP do not differentiate them, but for testing this is essential. We then present a new testing theory for timewise refinement, based on novel definitions of test and test execution. Finally, we reconcile refinement and testing by relating timed ioco testing and refinement in tock -CSP with inputs and outputs. With these results, this paper provides, for the first time, a systematic theory that allows both timed testing and timed refinement to be expressed. An important practical consequence is that this ensures that the notion of correctness used by developers guarantees that tests pass when applied to a correct system and, in addition, faults identified during testing correspond to development mistakes.

Funder

UK EPSRC

Royal Academy of Engineering

EPSRC

Publisher

Association for Computing Machinery (ACM)

Subject

Computational Mathematics,Logic,General Computer Science,Theoretical Computer Science

Reference57 articles.

1. P. Armstrong, G. Lowe, J. Ouaknine, and A. W. Roscoe. 2012. Model checking timed CSP. In Festschrift for Howard Barringer.

2. J. Baxter, A. L. C. Cavalcanti, M. Gazda, and R. Hierons. 2022. Testing Using CSP Models: Time, Inputs, and Outputs – Extended Version. Technical Report. RoboStar Centre on Software Engineering for Robotics. Available at robostar.cs.york.ac.uk/publications/reports/BCGH22.pdf.

3. Sound reasoning in tock-CSP

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5. Formal conformance testing of systems with refused inputs and forbidden actions;Bourdonov I. B.;Electronic Notes in Theoretical Computer Science,2006

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