Fair Testing

Arend Rensink, W. Vogler

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    In this paper we present a solution to the long-standing problem of characterising the coarsest liveness-preserving pre-congruence with respect to a full (TCSP-inspired) process algebra. In fact, we present two distinct characterisations, which give rise to the same relation: an operational one based on a De Nicola-Hennessy-like testing modality which we call should-testing, and a denotational one based on a refined notion of failures. One of the distinguishing characteristics of the should-testing pre-congruence is that it abstracts from divergences in the same way as Milner’s observation congruence, and as a consequence is strictly coarser than observation congruence. In other words, should-testing has a built-in fairness assumption. This is in itself a property long sought-after; it is in notable contrast to the well-known must-testing of De Nicola and Hennessy (denotationally characterised by a combination of failures and divergences), which treats divergence as catrastrophic and hence is incompatible with observation congruence. Due to these characteristics, should-testing supports modular reasoning and allows to use the proof techniques of observation congruence, but also supports additional laws and techniques. Moreover, we show decidability of should-testing (on the basis of the denotational characterisation). Finally, we demonstrate its advantages by the application to a number of examples, including a scheduling problem, a version of the Alternating Bit-protocol, and fair lossy communication channels.
    Original languageUndefined
    Place of PublicationEnschede
    PublisherCentre for Telematics and Information Technology (CTIT)
    Number of pages74
    Publication statusPublished - Dec 2005

    Publication series

    NameCTIT Technical Report Series
    PublisherUniversity of Twente, Centre for Telematica and Information Technology (CTIT)


    • Coarsest Congruence
    • EWI-6843
    • IR-54948
    • Process Algebra
    • Testing
    • Fairness
    • METIS-229702

    Cite this

    Rensink, A., & Vogler, W. (2005). Fair Testing. (CTIT Technical Report Series; No. 05-64). Enschede: Centre for Telematics and Information Technology (CTIT).