General recursive functionals of finite type and hierarchies of functions

R. O. Gandy

Annales scientifiques de l'Université de Clermont. Mathématiques (1967)

  • Volume: 35, Issue: 4, page 5-24
  • ISSN: 0249-7042

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Gandy, R. O.. "General recursive functionals of finite type and hierarchies of functions." Annales scientifiques de l'Université de Clermont. Mathématiques 35.4 (1967): 5-24. <http://eudml.org/doc/80384>.

@article{Gandy1967,
author = {Gandy, R. O.},
journal = {Annales scientifiques de l'Université de Clermont. Mathématiques},
language = {eng},
number = {4},
pages = {5-24},
publisher = {UER de Sciences exactes et naturelles de l'Université de Clermont},
title = {General recursive functionals of finite type and hierarchies of functions},
url = {http://eudml.org/doc/80384},
volume = {35},
year = {1967},
}

TY - JOUR
AU - Gandy, R. O.
TI - General recursive functionals of finite type and hierarchies of functions
JO - Annales scientifiques de l'Université de Clermont. Mathématiques
PY - 1967
PB - UER de Sciences exactes et naturelles de l'Université de Clermont
VL - 35
IS - 4
SP - 5
EP - 24
LA - eng
UR - http://eudml.org/doc/80384
ER -

References

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  1. A-K J.W. Addison and S.C. Kleene - A note on function quantification, Proc. Amer. Math. Soc.8 (1957) pp. 1002-1006. Zbl0084.24901MR91243
  2. KG K. Gödel - Uber eine bisher noch nicht benutzte Erweiterung des fini ten Standpunktes, Dialectica12 (1958) pp. 210-287. Zbl0090.01003MR102482
  3. ROG1 R.O. Gandy - Selection operators for recursive functionals, in preparation. 
  4. ROG2 R.O. Gandy - Proof of Mostowski's con jecture, Bull. Acad. Pol. Sci.8 (1960) pp. 571-574. Zbl0156.01101MR126383
  5. ROG3 R.O. Gandy - The Analytic hierarchy and recursive functionals, (Abstract), Monthly notices Amer. Math. Soc. June 1962. 
  6. GK1 G. Kreisel - La Prédicativité, Bull. Soc. Math. France88 (1960) pp. 371-391. Zbl0131.00604MR123475
  7. GK2 G. Kreisel - Set theoretic problems suggested by the notion of potential total ity, Infinitistic Methods, Warsaw1961 pp. 103-140. Zbl0199.01401MR146073
  8. GK3 G. Kreisel - Model l theoretic invariants: applications to recursive and hyperarithmetic operations, Proc. Theory of Models, Symposium held at Berkeley, July 1963. Zbl0225.02040
  9. SCK S.C. Kleene - Recursive functionals and Quantifiers of finite types I, Trans. Amer. Math. Soc.91 (1959) pp. 1-52. Zbl0088.01301MR102480
  10. AMI A. Mostowski - Formal systems of analysis based on an infinitistic rule of proof, Infinitistic Methods, Warsaw1961, pp. 141-166. Zbl0121.01501MR220577
  11. AM2 A. Mostowski - An undecidable arithmetical statement, Fund. Math.36 (1949) pp. 143-164. Zbl0039.00802MR35721
  12. CS C. Spector - Hyperarithmetical quantifiers, Fund. Math.48 (1961) pp. 113-120. Zbl0098.24301MR120147
  13. JRS J.R. Shoenfield - The form of the negation of a predicate, Recursive Function Theory Proc. Symp. Pure. Math. 5 (1962) pp. 131-134. Zbl0143.01301MR142449
  14. TT T. Tugue - Predicates recursive in a type 2 object and Kleene hierarchies, Comment. Math. Univ. St. Paul8 (1959) pp. 97-117. Zbl0097.24701MR110639

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