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 ...
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.
R FOR TAME ABSTRACT ELEMENTARY CLASSES RAMI GROSSBERG AND MONICA VANDIEREN We prove a categoricity transfer theorem for tame abstract elementary classes.
: 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 ...
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...