Modeling Interaction by Sheaves and Geometric Logic

Sofronie-Stokkermans, Viorica; Stokkermans, Karel

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Modeling Interaction by Sheaves and Geometric Logic

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Sofronie-Stokkermans, Viorica
Automation of Logic, MPI for Informatics, Max Planck Society;
Programming Logics, MPI for Informatics, Max Planck Society;

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Citation

Sofronie-Stokkermans, V., & Stokkermans, K. (1999). Modeling Interaction by Sheaves and Geometric Logic. In G. Ciobanu, & G. Paun (Eds.), Proceedings of the 12th International Symposium Fundamentals of Computation Theory (FCT-99) (pp. 512-523). Berlin, Germany: Springer.

Cite as: https://hdl.handle.net/11858/00-001M-0000-000F-366A-5

Abstract

In this paper we show that, given a family of interacting systems, many notions which are important for expressing properties of systems can be modeled as sheaves over a suitable topological space. In such contexts, geometric logic can be used to test whether ``local'' properties can be lifted to a global level. We develop a way to use this method in the study of interacting systems, illustrated by examples.