InforLorV4, Main, Merge, bibRecord, 00B352

Rough Sets based Proofs Visualisation

Identifieur interne : 00B352 ( Main/Merge ); précédent : 00B351; suivant : 00B353

Rough Sets based Proofs Visualisation

Auteurs : Laurent Vigneron [France] ; Anita Wasilewska

Source :

RBID : Hal:inria-00098752

Descripteurs français

mix :
- automated deduction, diagrammes, démonstration automatique, ensembles approximants, rough diagrams, rough sets.

Abstract

We present here an approach we used for proving important properties of clopen topological spaces. We combine powerful theorem provers techniques (and implementations) with a graphical technique based on a graphical representation of a rough set, called Rough Diagrams. Rough Diagrams are a generalization of a classical notion of Venn Diagrams for algebra of sets to clopen topological spaces. We use them as a powerful automated technique of constructing counter-models of properties the prover has a hard time proving and the user might suspect of being false. It means we propose to add a visual tool to a prover that after some fixed number of prover deductions would start constructing a visual counter-model for a property the prover is trying to prove. A prover with the visual tool is called a visual prover. The visual prover has a completeness property: for any rough set equality we can construct its proof or its counter-model.

Url:

https://hal.inria.fr/inria-00098752

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Hal:inria-00098752

Le document en format XML

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<front><div type="abstract" xml:lang="en">We present here an approach we used for proving important properties of clopen topological spaces. We combine powerful theorem provers techniques (and implementations) with a graphical technique based on a graphical representation of a rough set, called Rough Diagrams. Rough Diagrams are a generalization of a classical notion of Venn Diagrams for algebra of sets to clopen topological spaces. We use them as a powerful automated technique of constructing counter-models of properties the prover has a hard time proving and the user might suspect of being false. It means we propose to add a visual tool to a prover that after some fixed number of prover deductions would start constructing a visual counter-model for a property the prover is trying to prove. A prover with the visual tool is called a visual prover. The visual prover has a completeness property: for any rough set equality we can construct its proof or its counter-model.</div>
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Rough Sets based Proofs Visualisation

Rough Sets based Proofs Visualisation

Source :

Descripteurs français

Abstract

Links toward previous steps (curation, corpus...)

Links to Exploration step

Le document en format XML

Pour manipuler ce document sous Unix (Dilib)

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