This paper investigates quantum logic from the perspective of categorical logic, and starts from minimal assumptions, namely the existence of involutions/daggers and kernels. The ...
The Curry-Howard correspondence connects derivations in natural deduction with the lambdacalculus. Predicates are types, derivations are terms. This supports reasoning from assump...
We consider how to forget a set of atoms in a logic program. Intuitively, when a set of atoms is forgotten from a logic program, all atoms in the set should be eliminated from thi...
We propose a probabilistic interpretation of Propositional Dynamic Logic (PDL). We show that logical and behavioral equivalence are equivalent over general measurable spaces. This...
Abstract. We consider quantifier-free spatial logics, designed for qualitative spatial representation and reasoning in AI, and extend them with the means to represent topological c...
Roman Kontchakov, Ian Pratt-Hartmann, Frank Wolter...