Harvey Friedman introduced natural independence results for the Peano axioms via certain schemes of combinatorial well-foundedness. We consider here parameterized versions of this...
We investigate natural systems of fundamental sequences for ordinals below the Howard Bachmann ordinal and study growth rates of the resulting slow growing hierarchies. We consider...
In this paper we first survey recent advances on phase transition phenomena which are related to natural subclasses of the recursive functions. Special emphasis is put on descent ...