Normal forms in the typed λ -calculus with tuple types

Jiří Zlatuška

Kybernetika (1985)

  • Volume: 21, Issue: 5, page 366-381
  • ISSN: 0023-5954

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Zlatuška, Jiří. "Normal forms in the typed $\lambda $-calculus with tuple types." Kybernetika 21.5 (1985): 366-381. <http://eudml.org/doc/28149>.

@article{Zlatuška1985,
author = {Zlatuška, Jiří},
journal = {Kybernetika},
keywords = {typed lambda calculus; tuples of terms; cartesian products of types; projection function; reduction},
language = {eng},
number = {5},
pages = {366-381},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Normal forms in the typed $\lambda $-calculus with tuple types},
url = {http://eudml.org/doc/28149},
volume = {21},
year = {1985},
}

TY - JOUR
AU - Zlatuška, Jiří
TI - Normal forms in the typed $\lambda $-calculus with tuple types
JO - Kybernetika
PY - 1985
PB - Institute of Information Theory and Automation AS CR
VL - 21
IS - 5
SP - 366
EP - 381
LA - eng
KW - typed lambda calculus; tuples of terms; cartesian products of types; projection function; reduction
UR - http://eudml.org/doc/28149
ER -

References

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  1. H. P. Barendregt, The Lambda Calculus. Its syntax and semantics, (Studies in Logic and the Foundations of Mathematics 103.), North-Holland, Amsterdam 1981. (1981) Zbl0467.03010MR0622912
  2. A. Church, A formulation of the simple theory of types, J. Symb. Logic 5 (1948), 1, 56-68. (1948) MR0001931
  3. A. Church, The Calculi of λ -conversion, (Annals of Mathematics Studies No. 6.), Princeton University Press, Princeton 1941 (1951). (1941) Zbl0026.24205MR0005274
  4. R. O. Gandy, An early proof of normalization by A. M. Turing, In: To H. B. Curry: Essays on Combinatory Logic, Lambda-calculus and Formalism (J. R. Hindley, J. P. Seldin, eds.), Academic Press, London 1980, pp. 453 - 456. (1980) MR0592814
  5. R. O. Gandy, Proofs of strong normalization, In: [4], pp. 457-477. MR0592815
  6. M. H. A. Newman, On theories with a combinatorial definition of "equivalence", Ann. of Math. (2), 43 (1942), 223-243. (1942) Zbl0060.12501MR0007372
  7. D. S. Scott, Lectures on a Mathematical Theory of Computation, Oxford University Computing Laboratory, Technical Monograph PRG-19, 1981. (1981) MR0696963
  8. D. S. Scott, Relating theories of the λ -calculus, In: [4], pp. 403 - 450. MR0592813
  9. A. S. Troelstra (ed.), Metamathematical Investigations of Intuitionistic Arithmetic and Analysis, (Lecture Notes in Mathematics 344). Springer-Verlag, Berlin 1973. (1973) MR0325352
  10. J. Zlatuška, HIT data model. Data bases from the functional point of view, In: Proc. 11th VLDB (A. Pirotte, Y. Vassiliou, eds.), Stockholm 1985, pp. 470-477. (1985) 

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