2016BabusOPhD.pdf (870.64 kB)
Generalised distributivity and the logic of metric spaces
thesis
posted on 2016-06-08, 09:27 authored by Octavian Vladut BabusThe aim of the thesis is to work towards a many-valued logic over a commutative unital quantale and, at the same time, towards a generalisation of coalgebraic logic enriched over a commutative unital quantale Ω. This is done by noticing that the contravariant powerset adjunction can be generalised to categories enriched over a commutative unital quantale. From here we define categorical algebras for the monad generated by this adjunction. We finish by showing that these categorical algebras are algebras over Set with operations and equations, and show that in some cases we can restrict the arity of those operations to be finite.
History
Supervisor(s)
Kurz, Alexander; de Vries, Fer-JanDate of award
2016-06-06Author affiliation
Department of Computer ScienceAwarding institution
University of LeicesterQualification level
- Doctoral
Qualification name
- PhD