A Framework for Distributed Polynomial Systems Based on MP

    There are obvious advantages to providing communication links
    between independent software tools, including the ability to do
    parallel distributive computation, distributed problem solving,
    and, generally, providing access to a wealth of computational
    resources.  The challenge of providing connectivity is to produce
    homogeneity in a heterogeneous environment.  We have explored this
    problem within the context of applications specially designed for
    manipulating polynomials.  Our solution uses the Multi Protocol to
    establish communication links between independent packages, and
    the ideas of dictionaries, prototypes, and annotations provided in
    MP.  We describe the design of a dictionary for polynomials, as
    well as the implementation of interfaces based on this dictionary
    to Singular, Mathematica, and Clap.  Important aspects of the
    implementation include generality, the quality and quantity of
    supplemental information that can be conveyed, and efficiency.  We
    include a discussion of our experiences with these interfaces and
    some timings.