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arXiv · 2512.05214

Towards a logic of affordances

Rafal Gruszczynski·Paula Menchón·Ivo Düntsch·Günther Gediga
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Abstract

We aim to construct a formal theory of affordances seen as ternary relations. Beginning with a characterization of affordances proposed by James J. Gibson, and utilizing the tools provided by Zdzis{\l}aw Pawlak's information systems and rough sets, we construct a mathematically precise definition of both crisp and rough affordances. Then, we analyze modal and approximation operators that enable reasoning about affordances in both scenarios.

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Rafal Gruszczynski, Paula Menchón, Ivo Düntsch, Günther Gediga. 2025-12-04. Towards a logic of affordances. https://arxiv.org/abs/2512.05214

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