Logics of relations on graphs: Automating correspondence theory

Primary supervisor

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Funding

  • Competition Funded Project (Students Worldwide)
This research project is one of a number of projects at this institution. It is in competition for funding with one or more of these projects. Usually the project which receives the best applicant will be awarded the funding. Applications for this project are welcome from suitably qualified candidates worldwide. Funding may only be available to a limited set of nationalities and you should read the full department and project details for further information.

Project description

BISKT is a bi-intuitionistic modal logic introduced in a study of the logical foundations of generalising the idea of relations of sets to relations on graphs and exposing connections to mathematical morphology.

This setting is very general and complex and has provided successful application of mechanisms for automating logics. This project seeks to investigate, automate and extend the correspondence theory introduced for BISKT. Correspondence results are an essential part of understanding classical modal logics and the connections to mathematical structures which provide interpretations for the logics. The project will bring tools from the study of automated correspondence theory of modal logic to the task and explore ways of extending these tools and obtain new results for BISKT and other logics of relations on graphs.

The project is part of a research collaboration between the Department of Computer Science at the University of Leeds and the group of the proposer. The results are expected to advance also methods of classical correspondence theory and non-classical reasoning tasks such as abstraction.

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