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AML
2006
83views more  AML 2006»
13 years 10 months ago
The Medvedev lattice of computably closed sets
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...
Sebastiaan Terwijn
AML
2005
53views more  AML 2005»
13 years 9 months ago
Models of set theory with definable ordinals
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...
Ali Enayat
AML
2004
78views more  AML 2004»
13 years 9 months ago
Matrix identities and the pigeonhole principle
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...
Michael Soltys, Alasdair Urquhart
AML
2004
96views more  AML 2004»
13 years 9 months ago
Analytic Calculi for Product Logics
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 ...
George Metcalfe, Nicola Olivetti, Dov M. Gabbay
AML
2002
36views more  AML 2002»
13 years 9 months ago
Shelah's stability spectrum and homogeneity spectrum in finite diagrams
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...
Rami P. Grossberg, Olivier Lessmann