A note on Spector's quantifier-free rule of extensionality

Archive for Mathematical Logic

Volumn 40, Issue 2, 2001, Pages 89-92

  Kohlenbach, Ulrich ^a  

^a AARHUS UNIVERSITY   (Denmark)

Author keywords

Deduction theorem; Extensionality; Finite type arithmetic; Functionals of finite type

Indexed keywords

EID: 0035582457     PISSN: 09335846     EISSN: None     Source Type: Journal    
DOI: 10.1007/s001530000048     Document Type: Article

References (6)

1. Bezem, M. : Equivalence of bar recursors in the theory of functionals of finite type. Arch. Math. Logic 27, 149-160 (1988)
2. Howard, W.A.: Hereditarily majorizable functionals of finite type. In: Troelstra (ed.), Metamathematical investigation of intuitionistic arithmetic and analysis, 454-461. Springer LNM 344 (1973)
3. Kohlenbach, U.: Pointwise hereditary majorization and some applications. Arch. Math. Logic 31, 227-241 (1992)
4. Spector, C.: Provably recursive functionals of analysis: a consistency proof of analysis by an extension of principles formulated in current intuitionistic mathematics. In: Recursive function theory, Proceedings of Symposia in Pure Mathematics, vol. 5 (J.C.E. Dekker (ed.)), AMS, Providence, R.I., 1-27 (1962)
5. Troelstra, A.S. (ed.): Metamathematical investigation of intuitionistic arithmetic and analysis. Springer Lecture Notes in Mathematics 344 (1973)
6. Troelstra, A.S.: Metamathematical investigation of intuitionistic arithmetic and analysis. Corrections to the first edition. ILLC Prepublication Series X-93-04, Universiteit van Amsterdam (1993)