Simpson introduced the lattice P of 0 1 classes under Medvedev reducibility. Questions regarding completeness in P are related to questions about measure and randomness. We presen...
A DO model (here also referred to a Paris model) is a model M of set theory all of whose ordinals are first order definable in M. Jeffrey Paris (1973) initiated the study of DO mo...
We show that short bounded-depth Frege proofs of matrix identities, such as P Q = I QP = I (over the field of two elements), imply short bounded-depth Frege proofs of the pigeonho...
Abstract. Product logic is an important t-norm based fuzzy logic with conjunction interpreted as multiplication on the real unit interval [0, 1], while Cancellative hoop logic CHL ...
We present Saharon Shelah's Stability Spectrum and Homogeneity Spectrum theorems, as well as the equivalence between the order property and instability in the framework of Fin...