@article{ITA_1983__17_2_137_0, author = {Broy, Manfred and Wirsing, Martin}, title = {Algebraic definition of a functional programming language and its semantic models}, journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications}, volume = {17}, year = {1983}, pages = {137-161}, mrnumber = {713227}, zbl = {0515.68017}, language = {en}, url = {http://dml.mathdoc.fr/item/ITA_1983__17_2_137_0} }
Broy, Manfred; Wirsing, Martin. Algebraic definition of a functional programming language and its semantic models. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 17 (1983) pp. 137-161. http://gdmltest.u-ga.fr/item/ITA_1983__17_2_137_0/
Note: L.N.C.S., Lecture Notes in Computer Science; I.C.A.L.P., Int. Colloquium on Automata, Languages and Programming.
1. Can Programming be Liberated from the von Neumann Style? A Functional Style and lts Algebra of Programs, Comm. A.C.M., Vol. 21, No. 8, 1978, pp. 613-641. | MR 520392 | Zbl 0383.68013
,2. Algorithmische Sprache und Programmentwicklung, Berlin-Heidelberg-New York, Springer, 1981. | Zbl 0466.68006
and ,3. Least Fixed Points Revisited. In C. BÖHM, Ed., λ-Calculus and Computer Science Theory, Roma, I.N.C.S., Vol. 37, pp. 27-62, Berlin, Springer, 1975. | MR 474942 | Zbl 0328.68009
,4. Algebraic Specification of Computable and Semi-Computable Data Structures, Afdeling Informatica Amsterdam, IW115/79, 1979. | Zbl 0419.68029
and ,5. Heterogeneous Algebras, J. Comb. Theory, Vol. 8, 1970, pp.115-133. | MR 250887 | Zbl 0211.02003
and ,6. Transformation Parallel Ablaufender Programme, Dissertation, Technische Universitât München, Fakultät für Mathematik, 1980. | Zbl 0461.68013
,7. Existential Quantifiers in Abstract Data Types. In H.A. MAURER, Ed., Proc. of the Sixth I.C.A.L.P., Graz, I..N.C.S., Vol. 71, pp. 73-87, Berlin: Springer 1979. | MR 573235 | Zbl 0404.68026
, , , and ,8. Programming Languages as Abstract Data Types. In M. DAUCHET, Ed., 5e Colloque de Lille sur les arbres en algèbre et en programmation, Lille, February 1980, pp. 160-177, Université de Lille, 1980. | Zbl 0433.68014
and ,9. Partial-Recursive Functions and Abstract Data Types, Bulletin of the E.A.T.C.S., Vol. 11, June, 1980, pp. 34-41.
and ,10. On the Algebraic Specification of Nondeterministic Programming Languages. In E.ASTESIANO and C.BÖHM, Eds., 6th Colloquium on Trees in Algebra and Programming, Genova, L..N.C.S., Vol. 112, pp. 162-179, Berlin, Springer, 1981. | MR 623271 | Zbl 0462.68063
and ,11 Partial Abstract Types, Acta Informatica, Vol. 18, 1982, pp. 47-64. | MR 688344 | Zbl 0494.68020
and ,12. On the Algebraic Specification of Finitary Infinite Communicating Processes. In D. BJORNER, Ed., I.F.LP. Working Conference on Formal Description of Programming Concepts II, Garmisch 1982 (to appear). | Zbl 0512.68021
and ,13 A Systematic Study of Models of Abstract Data Types, Centre de Recherche en Informatique de Nancy, Report 81-R-042, 1981.
, and ,14 On Relations Between Programs. In B. ROBINET, Ed., 4th International Symposium on Programming, Paris, April, 22nd-24th 1980, L.N.C.S., Vol. 83, pp. 59-78, Berlin, Springer. | Zbl 0435.68017
, and ,15. Model Theory, Studies in Logic and the Foundations of Mathematics, Vol. 73, Amsterdam, North-Holland, 1973. | MR 409165 | Zbl 0276.02032
and ,16. The Algebraic Semantics of Program Schemas. In J. WINKOWSKI, Ed., Proc. Math. Foundations of Comp. Science, Zakopane, L.N.C.S., Vol. 64, pp. 16-30, Berlin, Springer, 1978. | MR 519827 | Zbl 0384.68016
and ,17. Génération et preuve de compilateurs basées sur une sémantique formelle des langages de programmation, Thèse d'État, Nancy, March, 1980.
,18. An Initial Algebra Approach to the Specification, Correctness and Implementation of Abstract Data Types. In R. T. YEH, Ed., Current trends in programming methodology, Vol. 4, Data Structuring, pp. 80-149, N.J., Prentice Hall, 1978.
, and ,19. Universal Algebra, Princeton, Van Nostrand, 1968. | MR 248066 | Zbl 0182.34201
,20. The Specification and Application to Progamming of Abstract Data Types, Ph. D. Th., Univ. of Toronto, Dept. of Comp. Sc., Rep. CSRG-59, 1975.
,21. Induction Rules and Termination Proof. In M. NIVAT, Ed., Proc. of the first I.C.A.L.P., I.R.I.A., pp. 225-251, Amsterdam, North-Holland, 1973. | MR 495103 | Zbl 0387.68011
and ,22. Categories for the Working Mathematician, Berlin: Springer, 1971. | MR 354798 | Zbl 0232.18001
,23. Mathematical Theory of Computation,New York, McGram Hill, 1974 | MR 400771 | Zbl 0353.68066
,24. The Theoretical Aspects of the Optimal Fixed Point, S.I.A.M. J. Comp., Vol. 5, No. 3, 1978, pp. 414-426. | MR 440995 | Zbl 0358.68017
and ,25. Fully Abstract Models of Types -Calculi, Vol. 4, 1977, pp. 1-22. | MR 498061 | Zbl 0386.03006
,26. Types abstraits et sémantique algébrique des langages de programmation, Centre de Recherche en Informatique de Nancy, Rapport 80-R-011, 1980.
,27. A Study on Transformational Semantics. In F. L. BAUER and M. BROY, Eds., Proc. International Summer School on Program Construction, Marktoberdorf, 1978, L.N.C.S., Vol. 69, Berlin, Springer, 1979, pp. 322-405. | MR 583152 | Zbl 0408.68074
,28. Recursion and Parameter Mechanism: an Axiomatic Approach. In J. LOECKX, Ed., Proc. of the second I.C.A.L.P., Saarbrücken, L.N.C.S., Vol. 14, Berlin, Springer, 1975, pp. 34-65. | MR 428768 | Zbl 0302.68019
,29. Theory of Recursive Functions and Effective Computability, New York, McGraw-Hill Book Company, 1967. | MR 224462 | Zbl 0183.01401
,30. Mathematical Logic, Reading (Massachusetts): Addison-Wesley, 1969. | MR 225631 | Zbl 0155.01102
,31. Programming Languages as Mathematical Objects. In J. WINKOWSKI, Ed., Proc. Math. Foundations of Computer Science, Zakopane, L.N.C.S., Vol. 64, Berlin, Springer, 1978, pp. 84-101. | MR 519830 | Zbl 0394.68008
, and ,32. First-Order Identities as a Defining Language, Indiana University, Comp. Science Department, Technical Report No. 29, 1977.
,33. On Hierarchies of Abstract Types, Acta Informatica (to appear). Preliminary version: Technische Universität München, Institut für Informatik, TUM-I 8007. | MR 720236
, , , and ,34. Abstract Data Types as Lattices of Finitely Generated Models. In P. DEMBINSKI, Ed., Proc. Math. Foundations of Computer Science, Rydzyna, L.N.C.S., Vol. 88, Berlin, Springer, 1980, pp. 673-685. | MR 744200 | Zbl 0441.68014
and ,