Ingo Battenfeld ; Klaus Keimel ; Thomas Streicher - Observationally-induced algebras in Domain Theory

lmcs:963 - Logical Methods in Computer Science, September 11, 2014, Volume 10, Issue 3 -
Observationally-induced algebras in Domain TheoryArticle

Authors: Ingo Battenfeld ; Klaus Keimel ; Thomas Streicher

    In this paper we revise and simplify the notion of observationally induced algebra introduced by Simpson and Schroeder for the purpose of modelling computational effects in the particular case where the ambient category is given by classical domain theory. As examples of the general framework we consider the various powerdomains. For the particular case of the Plotkin powerdomain the general recipe leads to a somewhat unexpected result which, however, makes sense from a Computer Science perspective. We analyze this "deviation" and show how to reobtain the original Plotkin powerdomain by imposing further conditions previously considered by R.~Heckmann and J.~Goubault-Larrecq.

    Volume: Volume 10, Issue 3
    Published on: September 11, 2014
    Imported on: April 2, 2014
    Keywords: Computer Science - Logic in Computer Science

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