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Sequence-to-sequence recursiveness. (English) Zbl 0311.02047


MSC:

03D20 Recursive functions and relations, subrecursive hierarchies
03D99 Computability and recursion theory
68N01 General topics in the theory of software
18B20 Categories of machines, automata

Software:

ALGOL 60
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References:

[1] Eilenberg, S.; Eigot, C. C., Iteration and recursion, Proceedings of the Nat. Acad. of Sci., 61, 378-379 (1968) · Zbl 0193.31001
[2] Eilenberg, S.; Elgot, C. C., Recursiveness (1970), Academic Press: Academic Press New York · Zbl 0211.31101
[3] Germano, G.; Maggiolo-Schettini, A., Markov’s normal algorithms without concluding formulas: an application, (IVth Intern. Congr. for Logic, Methodology and Philosophy of Science, 6 (August 29-September 4, 1971), Centre of Inform. and Docum. in Social and Political Sciences: Centre of Inform. and Docum. in Social and Political Sciences Bucharest) · Zbl 0283.68026
[4] Germano, G.; Maggiolo-Schettini, A., A characterization of partial recursive functions via sequence functions, Notices Amer. Math. Soc., 19, 332 (1972) · Zbl 0242.02043
[5] Germano, G., A new theory of computability, (Seminaires IRIA Theorie des algorithmes, des languages et de la programmation (1972), IRIA: IRIA Rocquencourt, 78150 Le Chesnay, France), 33-36
[6] Germano, G.; Maggiolo-Schettini, A., Quelques caracterisations des fonctions récursives partielles, C.R. Acad. Sci. Paris, 276, 1325-1327 (1973), Ser. A · Zbl 0324.02025
[7] Germano, G.; Maggiolo-Schettini, A., Proving a compiler correct: a simple approach, J. Comput. System Sci., 10, 666-679 (1975) · Zbl 0304.68022
[8] Germano, G.; Maggiolo-Schettini, A., Loops in ALGOL 60 and in category theory, SIGACT News, 6, 21-23 (1974)
[9] Henkin, L.; Monk, J. D.; Tarski, A., Cylindric algebras (1971), North-Holland Publishing Co: North-Holland Publishing Co Amsterdam · Zbl 0214.01302
[10] Mac Lane, S., Categories for the working mathematicians (1971), Springer-Verlag: Springer-Verlag New York · Zbl 0232.18001
[11] Naur, P., Revised Report on the algorithmic language ALGOL 60, Comm. ACM, 6, 1-17 (1963) · Zbl 0109.35105
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