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Symmetric Monoidal Categories with Attributes

Published

Author(s)

Spencer Breiner, John S. Nolan

Abstract

When designing plans in engineering, it is often necessary to consider attributes associated to objects, e.g. the location of a robot. Our aim in this paper is to incorporate attributes into existing categorical formalisms for planning, namely those based on symmetric monoidal categories and string diagrams. To accomplish this, we define a notion of a "symmetric monoidal category with attributes." This is a symmetric monoidal category in which objects are equipped with retrievable information and where the interactions between objects and information are governed by an "attribute structure." We discuss examples and semantics of such categories in the context of robotics to illustrate our definition.
Citation
Compositionality

Keywords

category theory, semantic modeling, robot planning

Citation

Breiner, S. and Nolan, J. (2021), Symmetric Monoidal Categories with Attributes, Compositionality (Accessed April 23, 2024)
Created January 26, 2021, Updated February 16, 2024