As part of this project, you will work on developing new foundations for quantitative verification, grounded in the theory of coalgebras. Coalgebras are mathematical structures ideally suited for modelling state-based, dynamical systems. They come equipped with modal logics that support reasoning about the temporal behaviour of systems, both qualitatively and quantitatively. During your PhD, you will help build a synergy between the fields of coalgebra and automated verification. Your project will contribute to the development of a new research area of coalgebraic model checking, aimed at extending the applicability of automated verification and synthesis to complex systems, whose modelling requires richer, more flexible models than currently supported. Models incorporating resource information are a prime example, and application areas include energy-aware systems, with a need to minimise energy usage while achieving desired behaviour; and autonomous systems, with a need for on-the-fly synthesis of resource-optimal plans.
Entry requirements: first or upper second-class degree or equivalent in Computer Science or Mathematics
Closing date: applications should be received no later than 30 June 2019 for standard admissions, but later applications may be considered depending on the funds remaining in place. Early applications (before 1 May 2019) are encouraged as the position may be filled before the actual deadline.
Duration: four years (full-time)
Funding: full tuition fees, for UK/EU students, and a tax-free stipend of £15,009 per year
Assessment: Nine month and 18 month reports, viva voce and thesis examination