Recursion Theory Week Proceedings of a Conference held in Oberwolfach, FRG, March 19-25, 1989

Klaus Ambos-Spies

ISBN 10: 3540527729 / ISBN 13: 9783540527725

Editore: Springer, 1990

Riguardo questo articolo

This is a Brand-new US Edition. This Item may be shipped from US or any other country as we have multiple locations worldwide. Codice articolo ABNR-36047

Dati bibliografici

Titolo: Recursion Theory Week Proceedings of a ...

Casa editrice: Springer

Data di pubblicazione: 1990

Legatura: Brossura

Condizione: New

Descrizione articolo

Riassunto:

These proceedings contain research and survey papers from many subfields of recursion theory, with emphasis on degree theory, in particular the development of frameworks for current techniques in this field. Other topics covered include computational complexity theory, generalized recursion theory, proof theoretic questions in recursion theory, and recursive mathematics.

Contenuti:

Honest polynomial reductions and exptally sets.- On the structure of degrees below O?.- Positive solutions to Post's problem.- The metamathematics of Fraïssé's order type conjecture.- Enumeration reducibility, nondeterministic computations and relative computability of partial functions.- Notes on the O? priority method with special attention to density results.- Array nonrecursive sets and multiple permitting arguments.- Superbranching degrees.- A direct construction of a minimal recursively enumerable truth-table degree.- ?2-induction and the construction of a high degree.- Undecidability and initial segments of the wtt-degrees ?0?.- Randomness and generalizations of fixed point free functions.- Recursive enumeration without repetition revisited.- Priority arguments using iterated trees of strategies.- On the relationship between the complexity, the degree, and the extension of a computable set.- Polynomially isolated sets.- A characterization of effective topological spaces.