Sheaves and geometric logic and applications to the modular verification of complex systems

dc.creatorSofronie-Stokkermans, Viorica
dc.date2008-10-16
dc.date.accessioned2026-07-07T10:10:38Z
dc.date.available2026-07-07T10:10:38Z
dc.descriptionIn this paper we show that states, transitions and behavior of concurrent systems can often be modeled as sheaves over a suitable topological space. In this context, geometric logic can be used to describe which local properties (i.e. properties of individual systems) are preserved, at a global level, when interconnecting the systems. The main area of application is to modular verification of complex systems. We illustrate the ideas by means of an example involving a family of interacting controllers for trains on a rail track.
dc.description30 pages
dc.identifierhttps://arxiv.org/abs/0810.2877
dc.identifierhttp://arxiv.org/abs/0810.2877
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171651
dc.subjectLogic in Computer Science
dc.titleSheaves and geometric logic and applications to the modular verification of complex systems
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