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ITU  /  Research  /  Technical Reports  /  Technical Reports Archive  /  2005  /  Axiomatizing Binding Bigraphs (revised)
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          • Scalable Computation of Acyclic Joins
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            • Axiomatizing Binding Bigraphs
            • Distributed Reactive XML: an XML-centric coordination middleware
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    Axiomatizing Binding Bigraphs (revised)

    TR-2005-71, Authors: Troels C. Damgaard and Lars Birkedal

    Axiomatizing Binding Bigraphs (revised)

    Troels C. Damgaard
    Lars Birkedal

    November 2005

    Abstract

    Extending Milners work on pure bigraphs, we axiomatize static congruence for binding bigraphs and prove that the theory generated is complete. In doing so, we also define a normal form for binding bigraphs, and prove that the four forms are unique up to certain isomorphisms. Compared with the axioms stated by Milner for pure bigraphs, we have extended the set with 5 axioms concerned with binding; and as our ions have names on both faces, we have two axioms -- handling inner and outer renaming. The remaining axioms are transfered straightforwardly.

    Technical report TR-2005-71 in IT University Technical Report Series, October 2005.

    Available as PDF.


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