Diagrammatic Representation and Inference: 9th International by Mateja Jamnik, Yuri Uesaka, Stephanie Elzer Schwartz

By Mateja Jamnik, Yuri Uesaka, Stephanie Elzer Schwartz

This ebook constitutes the refereed complaints of the ninth International
Conference at the conception and alertness of Diagrams, Diagrams 2016,
held in Philadelphia, PA, united states, in August 2016.
The 12 revised complete papers and eleven brief papers offered including 5 posters have been rigorously reviewed and chosen from forty eight submissions. The papers are prepared within the following topical sections: cognitive facets of diagrams; good judgment and diagrams; Euler and Venn diagrams; diagrams and schooling; layout rules for diagrams; diagrams layout.

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Extra resources for Diagrammatic Representation and Inference: 9th International Conference, Diagrams 2016, Philadelphia, PA, USA, August 7-10, 2016, Proceedings (Lecture Notes in Computer Science)

Sample text

For the copy rules, we have to identify which zones in different diagrams correspond [3] to each other. Copy Contour can be used to copy a contour c1 from a unitary diagram d1 to a second unitary diagram, d2 , respecting the topological information within d1 about c1 34 S. Linker et al. Fig. 2. Rule application: Copy Contour (cluttered version) and the contours contained in both diagrams. Our last rule is Copy Shading: if a zone z1 is not shaded in d1 and corresponds to a shaded zone z2 in d2 , then Copy Shading can be used to shade z1 .

A topic might not include all of these classes. H&W diagrams has largely separate representational formats for each primary class of concepts: (a) velocity and mass and their values are represented by types and sizes of lines; (b) the structure of collisions is represented by the topology of the arrows (their relative left-right placement); (c) time is represented by relative vertical position; (d) collision behaviour is represented by the configuration of the arrows; (f) formal relations are encoded by the geometric rules of the diagram.

Sets are represented by labelled contours (or curves) drawn within the rectangle. Topological relations between the curves specify the relations between sets. The curves divide the space within the diagram into zones. Zones may be shaded or non-shaded. The set represented by a shaded zone must be empty. Unitary Euler diagrams can be composed to create compound diagrams. Within this paper, we will only use conjunction to compose diagrams. The inference rules we consider are the following: 1. Erase Contour (EC), 2.

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