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Publication Detail
Intuitionistic layered graph logic
  • Publication Type:
    Conference
  • Authors:
    Docherty S, Pym D
  • Publication date:
    01/01/2016
  • Pagination:
    469, 486
  • Published proceedings:
    Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
  • Volume:
    9706
  • ISBN-13:
    9783319402284
  • Status:
    Published
  • Print ISSN:
    0302-9743
Abstract
© Springer International Publishing Switzerland 2016.Models of complex systems are widely used in the physical and social sciences, and the concept of layering, typically building upon graph-theoretic structure, is a common feature. We describe an intuitionistic substructural logic that gives an account of layering. As in bunched systems, the logic includes the usual intuitionistic connectives, together with a non-commutative, non-associative conjunction (used to capture layering) and its associated implications. We give soundness and completeness theorems for labelled tableaux and Hilbert-type systems with respect to a Kripke semantics on graphs. To demonstrate the utility of the logic, we show how to represent a range of systems and security examples, illuminating the relationship between services/policies and the infrastructures/architectures to which they are applied.
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