In this paper we generalize the well known construction of ”classic” measure theory to the fuzzy case. We consider such T-norm based classes of fuzzy sets as T-semirings and T...
We give a broad discussion of reflection principles in explicit mathematics, thereby addressing various kinds of universe existence principles. The proof-theoretic strength of the...
In this paper we discuss extensions of Feferman's theory T0 for explicit mathematics by the so-called limit and Mahlo axioms and present a novel approach to constructing natu...
Most research on resource-bounded measure and randomness has focused on the uniform probability density, or Lebesgue measure, on {0, 1}∞ ; the study of resource-bounded measure ...
Though overriding as a single and default mode of inheritance is adequate for most knowledge bases, a large class of applications naturally requires several inheritance modes and ...