Abstraction in reasoning about higraph-based systems

John Power, Konstantinos Tourlas

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

Higraphs, a kind of hierarchical graph, underlie a number of sophisticated diagrammatic formalisms, including Statecharts. Naturally arising from hierarchy in higraphs is an abstraction operation known as zooming out, which is of profound importance to reasoning about higraph-based systems. We motivate how, in general, the use of zooming in reasoning requires sophisticated extensions to the basic notion of higraph and a careful definition of higraph dynamics (i.e. semantics), which we contribute. Our main results characterise zooming by means of a universal property and establish a precise relationship between the dynamics of a higraph and that of its zoom-out.
Original languageEnglish
Title of host publicationFoundations of Software Science and Computation Structures 6th International Conference, FOSSACS 2003 Held as Part of the Joint European Conferences on Theory and Practice of Software, ETAPS 2003 Warsaw, Poland, April 7–11, 2003 Proceedings
Place of PublicationBerlin
PublisherSpringer
Pages392-408
Number of pages17
Volume2620
DOIs
Publication statusPublished - 2003

Publication series

NameLecture Notes in Comput. Sci.
PublisherSpringer

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    Power, J., & Tourlas, K. (2003). Abstraction in reasoning about higraph-based systems. In Foundations of Software Science and Computation Structures 6th International Conference, FOSSACS 2003 Held as Part of the Joint European Conferences on Theory and Practice of Software, ETAPS 2003 Warsaw, Poland, April 7–11, 2003 Proceedings (Vol. 2620, pp. 392-408). (Lecture Notes in Comput. Sci.). Springer. https://doi.org/10.1007/3-540-36576-1