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Recursion Theory
About this Title
Anil Nerode and Richard A. Shore, Editors
Publication: Proceedings of Symposia in Pure Mathematics
Publication Year:
1985; Volume 42
ISBNs: 978-0-8218-1447-5 (print); 978-0-8218-9334-0 (online)
DOI: https://doi.org/10.1090/pspum/042
Table of Contents
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Front/Back Matter
I. Classical recursion theory
- Carl G. Jockusch, Jr. and Richard A. Shore – REA operators, r.e. degrees and minimal covers [MR 791048]
- Manuel Lerman – The embedding problem for the recursively enumerable degrees [MR 791049]
- Wolfgang Maass – Major subsets and automorphisms of recursively enumerable sets [MR 791050]
- Richard A. Shore – The structure of the degrees of unsolvability [MR 791051]
- Robert I. Soare – Tree arguments in recursion theory and the $0''’$-priority method [MR 791052]
- Michael Stob – Major subsets and the lattice of recursively enumerable sets [MR 791053]
II. Generalized recursion theory
- S. C. Kleene – Unimonotone functions of finite types (Recursive functionals and quantifiers of finite types revisited IV) [MR 791054]
- Phokion G. Kolaitis – Canonical forms and hierarchies in generalized recursion theory [MR 791055]
- Dag Normann – Aspects of the continuous functionals [MR 791056]
- Gerald E. Sacks – Post’s problem in $E$-recursion [MR 791057]
- Theodore A. Slaman – The $E$-recursively enumerable degrees are dense [MR 791058]
III. Fine structure and descriptive
- René David and Sy D. Friedman – Uncountable ZF-ordinals [MR 791059]
- Hans-Dieter Donder – Another look at gap-1 morasses [MR 791060]
- H.-D. Donder, R. B. Jensen and L. J. Stanley – Condensation-coherent global square systems [MR 791061]
- Sy D. Friedman – Fine structure theory and its applications [MR 791062]
- Alexander S. Kechris – Determinacy and the structure of $L(\mathbf {R})$ [MR 791063]
- Alain Louveau – Recursivity and capacity theory [MR 791064]
- Donald A. Martin – A purely inductive proof of Borel determinacy [MR 791065]
IV. Effective mathematics
- T. Millar – Decidable Ehrenfeucht theories [MR 791066]
- A. Nerode and J. Remmel – A survey of lattices of r.e. substructures [MR 791067]
- A. Seidenberg – Survey of constructions in Noetherian rings [MR 791068]
V. Foundations and complexity theory
- Jean-Yves Girard and Jean-Pierre Ressayre – Eléments de logique $\Pi ^1_n$ [MR 791069]
- Kenneth McAloon – Paris-Harrington incompleteness and progressions of theories [MR 791070]
- Stephen G. Simpson – Reverse mathematics [MR 791071]
- Robert M. Solovay – Infinite fixed-point algebras [MR 791072]
- S. S. Wainer – The “slow-growing” $\Pi ^1_2$ approach to hierarchies [MR 791073]
- Paul Young – Gödel theorems, exponential difficulty and undecidability of arithmetic theories: an exposition [MR 791074]