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On some classes of interpretations. (English) Zbl 0392.68009


MSC:

68Q60 Specification and verification (program logics, model checking, etc.)
68Q65 Abstract data types; algebraic specification

Software:

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References:

[1] Ashcroft, E.; Manna, Z.; Pnueli, A., Decidable properties of monadic functional schemas, J. Assoc. Comput. Mach., 20, 489-499 (1973) · Zbl 0289.68036
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[3] Berry, G.; Courcelle, B., Program equivalence and canonical forms in stable discrete interpretations, (Proceedings, 3rd Colloquium on Automata, Languages and Programming. Proceedings, 3rd Colloquium on Automata, Languages and Programming, Edinburgh (1976)), 168-188 · Zbl 0363.68036
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[8] Courcelle, B., A representation of trees by languages, Parts I and II, Theor. Comput. Sci., 7, 25-55 (1978) · Zbl 0428.68088
[9] Courcelle, B., On the definition of classes of interpretations, (4th ICALP. 4th ICALP, Turku. 4th ICALP. 4th ICALP, Turku, Lecture Notes in Computer Science, Vol. 52 (July 1977), Springer-Verlag: Springer-Verlag New York/Berlin) · Zbl 0355.68021
[10] Courcelle, B.; Nivat, M., The algebraic semantics of recursive program schemes, (Communication to the Colloquium on Mathematical Foundations of Computer Science. Communication to the Colloquium on Mathematical Foundations of Computer Science, Zakopane, Poland. Communication to the Colloquium on Mathematical Foundations of Computer Science. Communication to the Colloquium on Mathematical Foundations of Computer Science, Zakopane, Poland, Lecture Notes in Computer Science, Vol. 64 (1978), Springer-Verlag: Springer-Verlag New York) · Zbl 0384.68016
[11] Courcelle, B.; Nivat, M., Algebraic families of interpretations, (Proceedings, 17th Symposium on F.O.C.S.. Proceedings, 17th Symposium on F.O.C.S., Houston (1976)), (also available as Laboria Report No. 189) · Zbl 0384.68016
[12] Guessarian, I., Semantic equivalence of program schemes, (Proceedings, 3rd Colloquium on Automata, Languages and Programming. Proceedings, 3rd Colloquium on Automata, Languages and Programming, Edinburgh (1976)), 189-200 · Zbl 0364.68019
[13] Guessarian, I., Equivalences Sémantiques et classes d’interprétations, Doctoral Dissertation, (1975), Paris
[14] Milner, R., Models of LCF, Memo, Stanford AIM-184 (1973) · Zbl 0364.02018
[15] Morris, J. H., Another recursion induction principle, Comm. ACM, 14, No. 5 (1971) · Zbl 0226.68026
[16] Nivat, M., On the interpretation of polyadic recursive schemes, (Symposia Mathematica, Vol. 15 (1975), Academic Press: Academic Press New York) · Zbl 0346.68041
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[18] Schoenfield, J. R., Mathematical Logic (1967), Addison-Wesley: Addison-Wesley Reading, Mass
[19] ADJ, Initial Algebra Semantics and Continuous Algebras, J. Assoc. Comput. Mach., 24, 68-95 (1977)
[20] Markowsky, G.; Rosen, B., Bases for Chain-complete posets, IBM J. Res. Dev., 20, 138-147 (1976) · Zbl 0329.06001
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