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Completeness results for the equivalence of recursive schemas. (English) Zbl 0342.68008


MSC:

68Q45 Formal languages and automata
68N01 General topics in the theory of software
03D99 Computability and recursion theory

Software:

LCF
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Full Text: DOI

References:

[1] Ashcroft, E. A.; Manna, Z.; Pnueli, A., Decidable properties of monadic functional schemas, (Kohavi, Z.; Paz, A., Theory of Machines and Computations (1971), Academic Press: Academic Press New York), 3-18 · Zbl 0306.68048
[2] deBakker, J. W., Recursive procedures, Math. Center Tracts No. 24, Amsterdam (1971) · Zbl 0274.02015
[3] deBakker, J. W.; deRoever, W. P., A calculus for recursive program schemes, (Proceedings of the IRIA Colloquium (1972), North-Holland: North-Holland Amsterdam) · Zbl 0238.68006
[4] deBakker, J. W.; Scott, D., A theory of programs (1969), unpublished
[5] Courcelle, B., Recursive schemes, algebraic trees, deterministic languages, (Proceedings of the 15th SWAT Symposium (1974))
[6] Courcelle, B., Grammaires canoniques des langages simples déterministes, RAIRO, No. 1, Paris (1974)
[7] Courcelle, B.; Kahn, G.; Vuillemin, J., Algorithmes d’équivalence pour des équations récursives simples, (Rapport Laboria No. 37 (1973), IRIA) · Zbl 0285.68022
[8] Nivat, M.; Vuillemin, J., Algebraic interpretations for recursive programs, (Rapport Laboria (1975), IRIA)
[9] Courcelle, B.; Vuillemin, J., Complétude d’un système formel pour l’équivalence de schèmas récursifs monadiques, (Comptes-Rendu du Collogue de Paris. Comptes-Rendu du Collogue de Paris, Institut de Programmation (April 1974)) · Zbl 0302.68095
[10] Gordon, M., Evaluation and denotation of pure LISP programs: A worked example in semantics, Thesis, Edinburgh (1973)
[11] Paterson, M. S.; Hewitt, C., Comparative Schematology, (Record of Project MAC Conference on Parallel Computation (1970), ACM: ACM New York) · Zbl 0401.68002
[12] Hitchcock, P.; Park, D., Induction rules and proofs of termination, (Proceedings of the IRIA Colloquium (1972), North-Holland: North-Holland Amsterdam) · Zbl 0387.68011
[13] Hopcroft, J. E.; Korenjak, A. J., Simple deterministic languages, (Proceedings of the Seventh SWAT Symposium (1966)), 36-46 · Zbl 0313.68061
[14] Ianov, Y. I., The logical schemes of algorithms, (Problems in Cybernetics, Vol. 1 (1960), Pergamon Press: Pergamon Press Elmsford, N.Y.)
[15] Kahn, G., A preliminary theory of parallel programs, (Rapport Laboria No. 6 (1973), IRIA)
[16] Luckham, D.; Park, D.; Paterson, M. S., On formalized computer programs, J. Comput. System Sci., 4, 220-249 (1970) · Zbl 0209.18704
[17] Manna, Z.; Ness, S.; Vuillemin, J., Inductive methods for proving properties of programs, Commun. ACM, 16 (1973) · Zbl 0278.68019
[18] Milner, R., (Models of LCF, AIM-186/CS-332 (1973), Stanford University) · Zbl 0364.02018
[19] Milner, R., Processes: A model of computing agents, ((1973), University of Edinburgh Memorandum) · Zbl 0316.68017
[20] Milner, R.; Weyrauch, R., Proving Compiler Correctness in a Mechanized Logic, (Machine Intelligence, 7 (1972), Edinburgh University Press) · Zbl 0259.68008
[21] Nivat, M., On the Interpretation of Polyadic Recursive Schemes, (Rapport Laboria (1974), IRIA) · Zbl 0346.68041
[22] Paterson, M., Program Schemata, (Machine Intelligence 3 (1968), Edinburgh University Press) · Zbl 0198.32603
[23] Plotkin, G., (LCF Considered as a Programming Language (1974), School of Artificial Intelligence, University of Edinburgh Memorandum) · Zbl 0369.68006
[24] deRoever, W. P., Operational, mathematical and axiomatized semantics for recursive procedures and data structures, Mathematisch Centrum Report, Amsterdam (1974)
[25] Rosen, B., Program equivalence and context-free grammars (1974), IBM Research Memo: IBM Research Memo Yorktown Heights, N.Y.
[26] Scott, D., Outline of a mathematical theory of computation, (Oxford Monograph PRG-2 (1970), Oxford University) · Zbl 0419.68076
[27] Scott, D., Continuous lattices, (Oxford Monograph PRG-7 (1972), Oxford University) · Zbl 0239.54006
[28] Scott, D.; Strachey, C., Towards a mathematical semantics for computer languages, (Oxford Monograph PRG-6 (1972), Oxford University) · Zbl 0268.68004
[29] Vuillemin, J., Proof techniques for recursive programs, (Ph.D. Thesis (1973), Stanford University)
[30] Vuillemin, J., Syntaxe, sémantique et axiomatique d’un langage de programmation simple, (Thèse d’État (1974), Université de Paris VII) · Zbl 0327.68006
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