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AML
2004
52views more  AML 2004»
13 years 11 months ago
Effectiveness for infinite variable words and the Dual Ramsey Theorem
We examine the Dual Ramsey Theorem and two related combinatorial principles VW(k, l) and OVW(k, l) from the perspectives of reverse mathematics and effective mathematics. We give a...
Joseph S. Miller, Reed Solomon
AML
2004
92views more  AML 2004»
13 years 11 months ago
Adding Skolem functions to simple theories
We examine the conditions under which we can keep simplicity or categoricity after adding a Skolem function to the theory. AMS classification: 03C45 , 03C50
Herwig Nübling
AML
2004
96views more  AML 2004»
13 years 11 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
2004
73views more  AML 2004»
13 years 11 months ago
Finite cupping sets
We show that there exists a single minimal (Turing) degree b < 0 s.t. for all c.e. degrees 0 < a < 0 , 0 = a b. Since b is minimal this means that b complements all c.e....
Andrew Lewis
AML
2004
52views more  AML 2004»
13 years 11 months ago
Generic compactness reformulated
We point out a connection between reflection principles and generic large cardinals. One principle of pure reflection is introduced that is as strong as generic supercompactness of...
Bernhard König
AML
2004
89views more  AML 2004»
13 years 11 months ago
The logic of equilibrium and abelian lattice ordered groups
We introduce a deductive system Bal which models the logic of balance of opposing forces or of balance between conflicting evidence or influences. "Truth values" are int...
Adriana Galli, Renato A. Lewin, Marta Sagastume
AML
2004
70views more  AML 2004»
13 years 11 months ago
On the existence of universal models
Mirna Dzamonja, Saharon Shelah
AML
2004
94views more  AML 2004»
13 years 11 months ago
The cofinality of the saturated uncountable random graph
Assuming CH, let 1 be the saturated random graph of cardinal
Steve Warner
AML
2004
41views more  AML 2004»
13 years 11 months ago
What is so special with the powerset operation?
Athanassios Tzouvaras