Titlebook: Diagrammatic Representation and Inference; 6th International Co Ashok K. Goel,Mateja Jamnik,N. Hari Narayanan Conference proceedings 2010 S

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Diagrams: A Perspective from Logices used by logicians to analyze reasoning with diagrammatic representations..The tutorial will describe the questions asked by logicians when analyzing the properties of diagrammatic representations and the techniques used to reason with them. The three main questions concern: . — the degree to whic

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Drawing Euler Diagrams for Information Visualizationips between sets, such as whether one set is a subset of another. In addition, they can represent information about the relative cardinalities of the visualized sets by making the areas of the regions in the diagrams proportional to the set cardinalities. Using visualizations can allow the user to r

背书

The Efficacy of Euler and Venn Diagrams in Deductive Reasoning: Empirical Findingsin syllogism solving in case where these two types of diagrams are used. We conduct an analysis on the role played by the conventional devices of each diagram in reasoning processes. Based on this, we hypothesize that of the two types of diagrams, only Euler diagrams could guide subjects without pri

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Coloured Euler Diagrams: A Tool for Visualizing Dynamic Systems and Structured Informationr example. We add the notion of colouring, provide a formal description of the extended system and demonstrate how coloured Euler diagrams provide adequate visualisations for concepts in the new bio-inspired model of Reaction Systems and for polyarchies, visualising multiple intersecting hierarchies

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Drawing Area-Proportional Venn-3 Diagrams with Convex Polygonserical value. In these diagrams, the areas of the regions are in proportion to the given values. Venn-3, the Venn diagram consisting of three intersecting curves, has been used in many applications, including marketing, ecology and medicine. Whilst circles are widely used to draw such diagrams, most

Nonporous

Fragments of Spider Diagrams of Order and Their Relative Expressiveness allows for comparisons with other notations. Various expressiveness results for diagrammatic logics are known, such as the theorem that Shin’s Venn-II system is equivalent to monadic first order logic. The techniques employed by Shin for Venn-II were adapted to allow the expressiveness of Euler dia

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A Calculus for Graphs with Complementended notion of graph with an explicitly representation of complement, the more involved definition of the system, and its completeness proof due to the embedding of complements. This is an improvement on former work, where complement was introduced by definition. Our calculus provides a basis on wh

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Two Types of Diagrammatic Inference Systems: Natural Deduction Style and Resolution Styleation is a “region-based” approach, where a diagram is defined as a set of regions. An alternative is a “relation-based” approach, where a diagram is defined in terms of topological relations (inclusion and exclusion) between circles and points. We compare these two approaches from a proof-theoretic

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Alternative Strategies for Spatial Reasoning with Diagramssuch tasks using imagistic strategies (e.g. mental rotation, perspective taking), alternative strategies are available. For example, the use of algorithms or heuristics can allow the problem solver to complete these tasks by abstracting spatial or non-spatial information from internal or external re