On algebraic specifications of computable algebras with the discriminator technique

G. Gagliardi; S. Tulipani

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications (1990)

  • Volume: 24, Issue: 5, page 429-440
  • ISSN: 0988-3754

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Gagliardi, G., and Tulipani, S.. "On algebraic specifications of computable algebras with the discriminator technique." RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications 24.5 (1990): 429-440. <http://eudml.org/doc/92367>.

@article{Gagliardi1990,
author = {Gagliardi, G., Tulipani, S.},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications},
keywords = {computable algebra; equational specification; discriminator},
language = {eng},
number = {5},
pages = {429-440},
publisher = {EDP-Sciences},
title = {On algebraic specifications of computable algebras with the discriminator technique},
url = {http://eudml.org/doc/92367},
volume = {24},
year = {1990},
}

TY - JOUR
AU - Gagliardi, G.
AU - Tulipani, S.
TI - On algebraic specifications of computable algebras with the discriminator technique
JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
PY - 1990
PB - EDP-Sciences
VL - 24
IS - 5
SP - 429
EP - 440
LA - eng
KW - computable algebra; equational specification; discriminator
UR - http://eudml.org/doc/92367
ER -

References

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  1. 1. K. A. BAKER, Finite equational bases for finite, algebras in a congruence-distributive equational class, Adv. in Math., 1977, 24, p. p 207-243. Zbl0356.08006MR447074
  2. 2. J. A. BERGSTRA and J. V. TUCKER, Algebraic specification of computable and semicomputable data structures, Dept. of Computer Science Research Report IW 115, Amsterdam, 1979. Zbl0419.68029
  3. 3. J. A. BERGSTRA and J. V. TUCKER, On bounds for tbe specification of finite data types by means of equations and conditional equations, Centre for Math. and Computer Science Report IW 131, Amsterdam, 1980. Zbl0421.68020
  4. 4. J. A. BERGSTRA and J. V. TUCKER, The completeness of algebraic specification methods for computable data types, Information and Control, 1982, 54, pp. 186-200. Zbl0513.68017MR719442
  5. 5. J. A. BERGSTRA and J. V. TUCKER, Initial and final algebra semantics for data type specifications; two characterization theorems, SIAM J. on Computing, 1983, 12, pp. 366-387. Zbl0515.68016MR697167
  6. 6. J. A. BERGSTRA and J. V. TUCKER, Algebraic specifications of computable and semicomputable data types, Theoretical Computer Science, 1987, 50, pp. 137-181. Zbl0637.68013MR907280
  7. 7. S. BLOOM and R. TINDEL, Varieties of "if-then-else", SIAM J. on Computing, 1983, 12, pp. 677-707. Zbl0518.68010MR721007
  8. 8. S. BURRIS and H. F. SANKAPPANAVAR, A course in Universal Algebra, Springer-Verlag, 1981. Zbl0478.08001MR648287
  9. 9. M. DAVIS, Y. MATIJASEVIC and J. ROBINSON, Hilbert's tenth Problem. Diophantine equations: positive aspect of a negative solution, Proceed. of Symposia in Pure Math., 1976, 28, pp. 323-378. Zbl0346.02026MR432534
  10. 10. H. EHRIG and B. MAHR, Fundamentals of Algebraic Specification 1, Monograph EATCS, Springer-Verlag, 1985. Zbl0557.68013MR788495
  11. 11. I. GUESSARIAN and J. MESEGUER, On the axiomatization of "if-then-else", SIAM J. on Computing, 1987, 16, pp. 332-357. Zbl0628.68032MR882535
  12. 12. J. HEERING, Partial evaluation and ω-completeness of algebraic specifications, Theoretical Computer Science, 1986, 43, pp 149-167. Zbl0606.68017MR855969
  13. 13. R. LYNDON, Identities in finite algebras, Proc. Amer. Math. Soc, 1954, 5. pp..8-9. Zbl0055.02705MR60482
  14. 14. A. I. MAL'CEV, Constructive algebras I, Russian Mathematicaï Surveys, 1961, 16, pp. 77-129. MR151377
  15. 15. R. MCKENZIE, On spectra and the negative solution of the decision problem for identites having a finite non-trivial model, J. Symb. Logic, 1975, 40, pp. 186-196. Zbl0316.02052MR376323
  16. 16. A. H. MEKLER and E. M. NELSON, Equational Bases for "if then-else", SIAM J. on Computing, 1987, 16, pp. 465-485. Zbl0654.68029MR889403

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