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On the algebraic structure of rooted trees. (English) Zbl 0389.68007


MSC:

68N01 General topics in the theory of software
68Q55 Semantics in the theory of computing
05C05 Trees
05C20 Directed graphs (digraphs), tournaments
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References:

[1] Bloom, S. L.; Elgot, C. C., The Existence and Construction of Free iterative Theories, J. Comput. System Sci., 12, 305-318 (1976) · Zbl 0333.68017
[2] Bloom, S. L.; Ginali, S.; Rutledge, J. D., Scalar and Vector Iteration, J. Comput. System Sci., 14, 251-256 (1977) · Zbl 0358.68072
[3] Elgot, C. C., Monadic computation and iterative algebraic theories, (Rose, H. E.; Shepherdson, J. C., Logic Colloquium 1973. Logic Colloquium 1973, Studies in Logic, Vol. 80 (1975), North-Holland: North-Holland Amsterdam) · Zbl 0123.33502
[4] Elgot, C. C., Matricial theories, J. Algebra, 42, 391-421 (1976) · Zbl 0361.18004
[5] Elgot, C. C., Erratum and Corrigendum (September 1976)
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[7] Engeler, E., Structure and meaning of elementary programs, (Symposium on Semantics of Algorithmic Languages Proceedings (1971), Springer-Verlag: Springer-Verlag New York/Berlin), 89-101 · Zbl 0228.68019
[8] Manes, E. G., Algebraic Theories (1976), Academic Press: Academic Press New York · Zbl 0489.18003
[9] Eilenberg, S.; Wright, J. B., Automata in general algebras, Inform. Contr., 11, 452-470 (1967) · Zbl 0175.27902
[10] Harary, F., Graph Theory (1969), Addison-Wesley: Addison-Wesley Reading, Mass · Zbl 0797.05064
[11] J. Goguen, J. Thatcher, E. Wagner, and J. WrightJ. Assoc. Comput. Mach.; J. Goguen, J. Thatcher, E. Wagner, and J. WrightJ. Assoc. Comput. Mach. · Zbl 0359.68018
[12] Wand, M., Mathematical Foundations of Language Theory, (Dissertation (1973), Project MAC, MIT)
[13] Ginali, S., Iterative Algebraic Theories, Infinite Trees, and Program Schemata, (Dissertation (June 1976), University of Chicago)
[14] Lawvere, W., Functorial semantics of algebraic theories, (Proc. Nat. Acad. Sci. U.S.A., 50 (1963)), 869-872 · Zbl 0119.25901
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