Indermark, K. On rational definitions in complete algebras without rank. (English) Zbl 0498.68017 Theor. Comput. Sci. 21, 281-313 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 Documents MSC: 68Q65 Abstract data types; algebraic specification 68N01 General topics in the theory of software Keywords:rational schemes; algebraic theory of programming; regular equations with parameters; rational operations; recursion on higher functional domains; algebras without rank; typed combinators; regular and equational normal forms of rational schemes; infinite trees Citations:Zbl 0278.68066 PDF BibTeX XML Cite \textit{K. Indermark}, Theor. Comput. Sci. 21, 281--313 (1982; Zbl 0498.68017) Full Text: DOI References: [1] Bekić, H., Definable operations in general algebras, and the theory of automata and flowcharts, (Research Report (1969), IBM Laboratory: IBM Laboratory Vienna) · Zbl 0548.68004 [2] Büchi, J. R., Mathematische Theorie des Verhaltens endlicher Automaten, Z. Angew. Math. Mech., 42, T9-T16 (1962) · Zbl 0113.01401 [3] Cousineau, G., Les arbres á feuilles indicées: un cadre algébrique pour l’étude des structures de contrôle, (Thése d’Etat, VII (1977), Université Paris) [4] Damm, W., The IO- and OI-hierarchies, Theoret. Comput. Sci., 20, 95-207 (1982) · Zbl 0478.68012 [5] Eilenberg, S.; Wright, J. B., Automata in general algebras, Information and Control, 11, 452-470 (1967) · Zbl 0175.27902 [6] Elgot, C. C., The common algebraic structure of exit-automata and machines, Computing, 6, 347-370 (1970) · Zbl 0264.94033 [7] Elgot, C. C., Monadic computation and iterative algebraic theories, (IBM Research Report RC 4563 (1973), Yorktown Heights) · Zbl 0123.33502 [8] Goguen, J. A.; Thatcher, J. W.; Wagner, E. G.; Wright, J. B., Initial algebra semantics, J. ACM, 24, 1, 68-95 (1977) · Zbl 0359.68018 [9] Mezei, J.; Wright, J. B., Algebraic automata and context-free sets, Information and Control, 11, 3-29 (1967) · Zbl 0155.34301 [10] Nivat, M., Languages algébriques sur le magma libre et sémantique des schémas de programme, (Nivat, M., Automata, Languages and Programming (1973), North-Holland: North-Holland Amsterdam), 293-308 · Zbl 0279.68010 [11] Nivat, M., On the interpretation of recursive program schemes, (Symposium Mathematica, 15 (1975), Academic Press: Academic Press New York) · Zbl 0384.68016 [12] Scott, D., Outline of a mathematical theory of computation, Proc. 4th Annual Princeton Conference on Information Sciences and Systems (1970) · Zbl 0419.68076 [13] Scott, D., The lattice of flow diagrams, (Engeler, E., Symposium on Semantics of Algorithmic Languages. Symposium on Semantics of Algorithmic Languages, Lecture Notes in Mathematics, 188 (1971), Springer: Springer Berlin), 311-366 [14] Thatcher, J. W.; Wright, J. B., Generalized finite automata theory with an application to a decision problem of second-order logic, Math. Systems Theory, 2, 57-81 (1968) · Zbl 0157.02201 [15] Wagner, E. G., An algebraic theory of recursive definitions and recursive languages, Proc. 3rd ACM Symposium on Theory of Computing, 12-23 (1971) [16] Wagner, E. G., Languages for defining sets in arbitrary algebras, Proc. IEEE Conference SWAT, 12, 192-201 (1971) [17] Wand, M., A concrete approach to abstract recursive definitions, (Nivat, M., Automata, Languages, and Programming (1973), North-Holland: North-Holland Amsterdam), 331-344 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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.