Bigraphs: Modelling, Simulation, and Type Systems

Ebbe Elsborg

    Research output: Book / Anthology / Report / Ph.D. thesisPh.D. thesis

    Abstract

    We study how bigraphical reactive systems may be used for modelling and
    simulating — in a manner controlled by sorts and types — global ubiquitous
    computing. Ubiquitous computing was in the early 1990s envisioned by
    Mark Weiser to be the third wave of computing (after mainframes, and then
    personal computers), in which each person has many computers, receding
    into the background, at his or her disposal. Global ubiquitous computing
    has been identified internationally, indeed it is a UK Grand Challenge, as
    one of the most important challenges for computing in the 21st century.
    In mathematical modelling of real-life systems, we aim to gain a deeper
    understanding of their behaviour by studying their essence. Concurrent
    and mobile systems are notoriously hard to understand in their entirety
    and thus to give guarantees about. The complexity increases when global
    ubiquitous computing is considered, especially as systems become larger.
    A key observation is the importance of understanding this new paradigm
    before it is realised by technological advances, because trustworthiness will
    be paramount, and theory is an important factor in achieving this. To this
    end, computer simulations complement well mathematical methods.
    In this dissertation we focus on context-aware computing— in particular
    location-aware computing — which is at the core of ubiquitous computing.
    Our point of origin is the theory of Bigraphs by Milner and co-workers.
    Up until now it has been an open question whether Bigraphs is a suitable
    a model for ubiquitous computing, for which we provide a partial answer.
    The relevant literature is surveyed and Bigraphs challenged by modelling
    and simulation of location systems. Plato-graphical models are developed
    for more advanced modelling. Exploiting Bigraphs as a meta-model, and to
    control models, we show how to develop inductive type systems for Bigraphs.
    We expand the knowledge of what may be achieved with Bigraphs.
    Original languageEnglish
    PublisherIT-Universitetet i København
    Publication statusPublished - 2009

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