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Bibliography
Arsac J., Nolin L., Vasseur J.P. and G. Ruggiu: Le système de programmation structurée EXEL. Revue Thomson-CSF, Vol. 6 (1974).
Arsac J.: La construction de programmes structurés. Dunod, Paris (1977).
Ashcroft E. and Z. Manna: The translation of goto programs to while programs, in Proc. IFIP Cong, Amsterdam (1971).
Böhm C. and G. Jacopini: Flow diagrams, turing machines and languages with only two formation rules, Proc. IFIP Cong. Amsterdam (1971).
Casteran P.: Structures de contrôle: définitions opérationnelles et algébriques. Thèse de 3ème cycle, Université Paris VII (1979).
Courcelle B.: Recursive schemes, algebraic trees and deterministic languages, in Proc. 15th Symp. Found. Comp. Sci. (1974).
Courcelle B., G. Kahn and J. Vuillemin: Algorithmes d'équivalence et de réduction à des expressions minimales dans une classe d'équations récursives simples, in Automata, Languages and Programming (J. Loeckx ed.) LNCS no 14, Berlin (1974).
Cousineau G.: Arbres à feuilles indicées et transformations de programmes. Thèse d'Etat, Université Paris VII (1977).
Cousineau G.: An algebraic definition for control structures, to appear in Theoretical Computer Science (1979).
Doner J.E.: Tree acceptors and some of their applications, Jour. Comp. Syst. Sci. Vol 4 (1970), pp. 406–451.
Ershov A.P.: Theory of program schemata, in Proc. IFIP Cong., Amsterdam (1971).
Henry C.: Resolution d'équations algébriques sur le magma libre: application aux transformations de programmes, Thèse de 3ème cycle, Université Paris VII, (1978).
Ianov I.I.: The logical scheme of algorithms, english translation in Problems of Cybernetics, Vol. 1 (1960), pp. 82–140.
Igarashi S.: An axiomatic approach to the equivalence problem of algorithms, Report of the Computer Center, Univ. of Tokyo, vol. 1 (1969) pp. 1–101.
Jacob G.: Structural invariants for some classes of structured programs in Mathematical Foundations of Computer Science, LNCS no 64, Springer Verlag, Berlin (1978).
Kaplan D.M.: The formal theoretic analysis of strong equivalence for elemental programs, Ph D dissertation, Stanford (1968).
Kasai T.: Translatability of flow-charts into while programs. Jour. Comp. Syst. Sci., vol. 9 (1974), pp. 177–195.
Kasami T., W. Peterson and N. Tokura: On the capabilities of while, repeat and exit statements. Comm. Assoc. Comp. Mach. Vol. 16 (1973).
Knuth D.E. and R.W. Floyd: Notes on avoiding go to statements. Inf. Proc. Letters Vol. 1 (1971), pp. 23–31.
Kosaraju R.: Analysis of structured programs, Jour. Compt. Syst. Sci., Vol. 9 (1974) pp. 232–255.
Milner R.: Equivalence on program schemes, Jour. Comp. Syst. Sci., vol. 4 (1970) pp. 205–219.
Mycielski J. and W. Taylor: A compactification of the algebra of terms, Alg. Univ. Vol. 6 (1976) pp. 159–163.
Nivat M.: Langages algébriques sur le magma libre et sémantique des schémas de programmes in Automata, languages and programming (M. Nivat ed.) Amsterdam (1973).
Nolin L. and G. Ruggiu: Formalization of EXEL, in Proc. ACM Symp. Princ. Prog. Lang., Boston (1973).
Paterson M.S.: Equivalence problems in a model of computation Ph. D dissertation Trinity College, Cambridge (1967).
Robinet B.: Un modèle fonctionnel des structures de contrôle, RAIRO Inf. The, Vol. 11 (1977) pp. 213–236.
Ruggiu G.: De l'organigramme à la formule, Thèse d'Etat, Université Paris VII, (1973).
Rutledge J.D.: On Ianov's program schemata. Journal Assoc. Comp. Mach. Vol. 11 (1964) pp. 1–9.
Scott D.: The lattice of flow diagrams, in Symposium on semantics of algorithmic languages (E. Engeler ed.), in Lecture Notes Math. no 188, Springer Verlag, Berlin (1971).
Courcelle B. and M. Nivat: Algebraic families of interpretations, in Proc. 17th Symp. Found. Comp. Sci. (1976).
Nivat M.: Chartes, arbres, programmes itératifs. Revue Thomson-CSF, Vol. 10 (1978) pp. 705–731.
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Cousineau, G., Nivat, M. (1979). On rational expressions representing infinite rational trees : Application to the structure of flow charts. In: Bečvář, J. (eds) Mathematical Foundations of Computer Science 1979. MFCS 1979. Lecture Notes in Computer Science, vol 74. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-09526-8_57
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