Recursion Theory Week

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

Klaus Ambos-Spies, Gert H. Müller, Gerald E. Sacks (Herausgeber)

Buch | Softcover

VIII, 400 Seiten

1990 | 1990
Springer Berlin (Verlag)
978-3-540-52772-5 (ISBN)

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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.

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.

Erscheint lt. Verlag	24.7.1990
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	VIII, 400 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	572 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
Themenwelt	Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
Schlagworte	Complexity • Complexity theory • Computability • Computability Theory • Proof • turing degree
ISBN-10	3-540-52772-9 / 3540527729
ISBN-13	978-3-540-52772-5 / 9783540527725
Zustand	Neuware