Broy, Manfred; Wirsing, Martin Partial abstract types. (English) Zbl 0494.68020 Acta Inf. 18, 47-64 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 38 Documents MSC: 68P05 Data structures Keywords:hierarchical abstract types; conditional equational formulas; fully abstract semantics; algebraic specification; programming languages × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Andréka, H., Burmeister, B., Németi, I.: Quasivarieties of partial algebras ? a unifying approach towards a two-valued model theory for partial algebras. TH Darmstadt, FB Mathematik, Preprint Nr. 557 · Zbl 0537.08004 [2] Bauer, F.L., Wössner, H.: Algorithmische Sprache und Programmentwicklung. Berlin-Heidelberg-New York: Springer 1981 · Zbl 0466.68006 [3] Bergstra, J.A., Broy, M., Tucker, J.V., Wirsing, M.: On the power of algebraic specifications. In: Gruska, J. (ed.): 10th MFCS, Strbske Pleso, CSSR, Sept. 1981. LNCS118, 193-204 (1981) · Zbl 0462.68001 [4] Bergstra, J.A., Tucker, J.V.: A characterization of computable data types by means of a finite, equational specification method. Math. Centr. Rep. IWi24/79, 1979 · Zbl 0417.68012 [5] Bertoni, A., Mauri, G., Miglioli, P.A., Wirsing, M.: On different approaches to abstract data types and the existence of recursive models. EATCS Bulletin No.9, 47-57 (1979) [6] Broy, M.: Transformational semantics for concurrent programs. IPL11, 87-91 (1980) · Zbl 0444.68017 · doi:10.1016/0020-0190(80)90009-5 [7] Broy, M., Wirsing, M.: Algebraic definition of a functional programming language. TU München, Tech. Rep. TUM-I8008, to appear in RAIRO Computer Science · Zbl 0515.68017 [8] Broy, M., Wirsing, M.: Programming languages as abstract data types. In: Dauchet, M. (ed.): 5ème Coll. sur les Arbres en Algèbre et Programmation, Lille 1980, Univ. de Lille, 160-177 (1980) · Zbl 0433.68014 [9] Broy, M., Wirsing, M.: Partial recursive functions and abstract data types. EATCS Bulletin11, 34-41 (1980) · Zbl 0433.68014 [10] Broy, M., Wirsing, M.: On the algebraic specification of nondeterministic programming languages. In: Astesiano, E., Böhm, C. (eds.): 6th Colloquium on Trees in Algebra and Programming. LNCS112, 162-179 (1981) · Zbl 0462.68063 [11] Broy, M., Wirsing, M.: On the algebraic extension of abstract data types. In: Diaz, J., Ramos, I. (eds.): Formalization of Programming Concepts. LNCS107, 244-251 (1981) · Zbl 0492.68024 [12] Broy, M., Wirsing, M.: On the algebraic specification of finitary infinite communicating sequential processes. In: Bjørner, D. (ed.): IFIP Wkng. Conf. on Formal Description of Programming Language Concepts, Garmisch, June 1982 (to appear) · Zbl 0512.68021 [13] Broy, M., Pair, C., Wirsing, P.: A systematic study of models of abstract data types. Centre de Recherche en Informatique de Nancy, Rapport 81-R-042, 1981 · Zbl 0552.68010 [14] Burstall, R.M., Goguen, J.A.: Putting theories together to make specifications. 5th Int. Conf. en Artificial Intelligence, Cambridge, Mass., pp. 1045-1058, 1977 [15] Courcelle, B., Nivat, M: The algebraic semantics of programm schemas. In: Winkowski, J. (ed.): 7th MFCS (1978), LNCS64, 16-30 (1978) · Zbl 0384.68016 [16] Ehrich, H.D., Lipeck, U.: Proving implementations correct ? two alternative approaches. In: Lavington, D. (ed.): IFIP-Congress 80. Amsterdam: North-Holland, pp. 83-88 (1980) · Zbl 0444.68015 [17] Ehrig, H., Kreowski, H.J., Thatcher, J.W., Wagner, E.G., Wright, J.B.: Parameterized data types in algebraic specification languages. In: De Bakker, J., van Leenwen, J. (eds.): 7th ICALP (1980), LNCS85, 157-168 (1980) · Zbl 0456.68101 [18] Gaudel, M.C.: Génération et preuve de compilateurs basés sur une sémantique formelle des langages de programmation. Thèse d’Etat, Nancy, March 1980 [19] Giarratana, V., Gimona, F., Montanari, U.: Observability concepts in abstract data type specifications. In: A. Mazurkiewicz (ed.): 5th MFCS (1976), LNCS45, 576-587 (1976) · Zbl 0338.68023 [20] Goguen, J.A.: Abstract errors for abstract data types. UCLA Semantics and Theory of Computation Report 46, Proc. IFIP Wkng. Confr. Formal Description of Programming Language Concepts, St. Andrews, 21.1-21.32, 1977 [21] Goguen, J.A., Thatcher, J.W., Wagner, E.G.: An initial algebra approach to the specification, correctness and implementation of abstract data types. In: Current Trends in Programming Methodology IV: Data Structuring (R. Yeh, ed.), pp. 80-144, Englewood Cliffs: Prentice Hall 1978 [22] Grätzer, G.: Universal algebra. Princeton: Van Nostrand 1968 · Zbl 0182.34201 [23] Greif, L, Meyer, A.: Specifying programming language semantics. 6th POPL (1979) [24] Guttag, J.V.: The specification and application to programming of abstract data types. Ph.D. Thesis, University of Toronto, 1975 [25] Hennessy, M., Milner, R.: On observing nondeterminism and concurrency. In: De Bakker, J., van Leeuwen, J. (eds.): 7th ICALP, LNCS85, 299-309 (1980) · Zbl 0441.68018 [26] Hennessy, M., Plotkin, G.: A term model for CCS. In: Dembinski, P. (ed): 9th MFCS (1980), LNCS88, 261-274 (1980) · Zbl 0479.68011 [27] Hornung, G., Raulefs, P.: Terminal algebra semantics and retractions for abstract data types. In: De Bakker, J, van Leeuwen, J. (eds.): 7th ICALP (1980), LNCS85, 310-323 (1980) · Zbl 0446.68010 [28] Kamin, S.: Final data type specifications: a new data type specification method. 7th POPL, Las Vegas 1979 [29] Klaeren, H.A.: Eine Klasse von Algebren mit struktureller Rekursion und ihre Anwendung bei der abstrakten Software-Spezifikation. Dissertation, RWTH Aachen, 1980 · Zbl 0476.68021 [30] Lescanne, P.: Etude algebraique et relationelle des types abstraits et de leurs représentations. Thése d’Etat, Université de Nancy, 1979 [31] Milner, R.: Fully abstract models of typed ?-calculi. TCS4, 1-22 (1977) · Zbl 0386.03006 · doi:10.1016/0304-3975(77)90053-6 [32] Milner, R.: Synthesis of communicating behavior. In: Winkowski, J. (ed.): 7th MFCS, LNCS64, 71-83 (1978) · Zbl 0411.68031 [33] Nourani, F.: A model theoretic approach to specification, extension, and implementation. In: Robinet, B. (ed.): 4ème Colloque Int. sur la Programmation, LNCS83, 282-297 (1980) · Zbl 0435.68021 [34] Pair, C: Types abstraits et sémantique algébrique des langages de programmation. Centre de Recherche en Informatique de Nancy, 80-R-011, 1980 [35] Pair, C.: Sur les modèles des types abstraits algébriques. Centre de Recherche en Informatique de Nancy. 80-P-052, 1980 [36] Reichel, H.: Theorie der Aequoide, Dissertation B. Humbold-Universität Berlin, 1979 [37] Veloso, P.A., Pequeno, T.H.: Don’t write more axioms than you have to: A methodology for the complete and correct specification of abstract data types, with examples. Univ. Rio de Janeiro, Monografias en Ciencia do Computacao No. 10, 1979, Ext. Abstr. in Proc. Int. Comp. Cump., Nankang (China) 1978 [38] Wagner, E.G., Thatcher, J.W., Wright, J.B.: Programming languages as mathematical objects. In: Winkowski, J. (ed.): 7th MFCS (1978), LNCS64, 84-101 (1978) · Zbl 0394.68008 [39] Wand, M.: Final algebra semantics and data type extensions. JCSS19, 27-44. Preliminary Version: Indiana University TR65, 1978 · Zbl 0418.68020 [40] Wirsing, M., Pepper, P., Partsch, H., Dosch, W., Broy, M.: On hierarchies of abstract data types. Preliminary Version: TU München, Tech. Rep. TUM-I8007, 1980. (To appear in Acta Informat.) · Zbl 0513.68015 [41] Wirsing, M., Broy, M.: An analysis of semantic models for algebraic specifications. In: Broy, M.; Schmidt, G. (eds.): Int. Summerschool on Theoretical Foundations of Programming Methodology, Marktoberdorf, August 1981 Dordrecht: Reidel, pp. 351-413 (1982) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.