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CORR
2008
Springer
70views Education» more  CORR 2008»
13 years 10 months ago
Every Computably Enumerable Random Real Is Provably Computably Enumerable Random
We prove that every computably enumerable (c.e.) random real is provable in Peano Arithmetic (PA) to be c.e. random. A major step in the proof is to show that the theorem stating ...
Cristian S. Calude, Nicholas J. Hay
EJC
2007
13 years 10 months ago
On separating systems
We sharpen a result of Hansel on separating set systems. We also extend a theorem of Spencer on completely separating systems by proving an analogue of Hansel’s result.
Béla Bollobás, Alex D. Scott
JSYML
2006
61views more  JSYML 2006»
13 years 10 months ago
Shelah's categoricity conjecture from a successor for tame abstract elementary classes
R FOR TAME ABSTRACT ELEMENTARY CLASSES RAMI GROSSBERG AND MONICA VANDIEREN We prove a categoricity transfer theorem for tame abstract elementary classes.
Rami P. Grossberg, Monica Van Dieren
SYNTHESE
2008
85views more  SYNTHESE 2008»
13 years 10 months ago
Harmonising natural deduction
: Prawitz proved a theorem, formalising `harmony' in Natural Deduction systems, which showed that, corresponding to any deduction there is one to the same effect but in which ...
Barry Hartley Slater
COCO
2007
Springer
109views Algorithms» more  COCO 2007»
14 years 4 months ago
Perfect Parallel Repetition Theorem for Quantum XOR Proof Systems
We consider a class of two-prover interactive proof systems where each prover returns a single bit to the verifier and the verifier’s verdict is a function of the XOR of the tw...
Richard Cleve, William Slofstra, Falk Unger, Sarva...