A study is carried out of the elementary theory of quotients of symmetric groups in a similar spirit to [10]. Apart from the trivial and alternating subgroups, the normal subgroup...
eory in the Abstract J. M. E. Hyland June 7, 2001 Dedicated to Anne Troelstra on the occasion of his 60th birthday: with great affection and respect, this small tribute to his infl...
We study OST and some of its most important extensions primarily from a proof-theoretic perspective, determine their consistency strengths by exhibiting equivalent systems in the ...
Based on a result of Nies on definability the upper semilattice of computably enumerable degrees (denoted by R), we find that in R filters generated by definable subsets are al...
We investigate the question of whether one can characterize complexity classes (such as PSPACE or NEXP) in terms of efficient reducibility to the set of Kolmogorovrandom strings R...