Theona.Stefanis@G.CS.CMU.EDU.UUCP (03/03/87)
PS SEMINAR MONDAY, 9 March WeH 5409 3:30 On Visual Formalisms David Harel Weizmann Inst., Rehovot, Israel (At CMU for the year) A general mathematical object of diagrammatic nature, the higraph, is presented. Higraphs borrow and extend ideas from Venn-diagrams, graphs and hypergraphs. They constitute a visual formalism for describing various kinds of complex entities, particularly those that involve many sets of objects having intricate structural (i.e., set-theoretic) interrelationships as well as additional relations af dynamic, causal or other nature. Higraphs appear to have many applications, as well as a rich theory that awaits further research. We shall exhibit a number of applications in database theory (entity-relationship diagrams), artificial intelligence (semantic and associative nets) and concurrent reactive systems (statecharts). Statecharts constitute a natural extension of conventional state-transition diagrams in ways that make them appropriate for describing large real-world systems, and they will be described in the talk in some detail. __________________________________________