The theory of concept lattices (i.e. hierarchical structures of concepts in the sense of Port-Royal school) is approached from the point of view of fuzzy logic. The notions of par...
The model-checking problem for a logic L on a class C of structures asks whether a given L-sentence holds in a given structure in C. In this paper, we give super-exponential lower...
The purpose of this article is to present a new theory IPA() for fixed points over arithmetic which allows the building up of fixed points in a very nested and entangled way. But ...
A notion called Herbrand saturation is shown to provide the modeltheoretic analogue of a proof-theoretic method, Herbrand analysis, yielding uniform model-theoretic proofs of a nu...
It is shown how to restrict recursion on notation in all finite types so as to characterize the polynomial time computable functions. The restrictions are obtained by using a rami...
Stephen J. Bellantoni, Karl-Heinz Niggl, Helmut Sc...