The algebras of partial functions and their invariants
Article
Received:
- 34 Downloads
- 32 Citations
Keywords
Operating System Artificial Intelligence System Theory Partial Function
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Preview
Unable to display preview. Download preview PDF.
Literature Cited
- 1.E. Post, “Introduction to a general theory of elementary propositions,” Am. J. Math.,43, 163–185 (1921).Google Scholar
- 2.R. V. Freivald, “Completeness criteria for partial functions of the algebra of logic and many-valued logics,” Dokl. Akad. Nauk SSSR,167, No. 6, 1249–1250 (1966).Google Scholar
- 3.R. V. Freivald, “Functional completeness for not everywhere defined functions of the algebra of logic,” Diskretn. Anal., Novosibirsk, No. 8, 55–68 (1966).Google Scholar
- 4.B. A. Romov, “Algorithmic topics of synthesis in functional systems,” in: Development and Penetration of MIS and Automation, Izd. Inst. Avtomat., Kiev (1977), pp. 3–19.Google Scholar
- 5.A. I. Mal'tsev, “Iterative algebras and Post manifolds,” Algebra Logika, Novosibirsk,5, No. 2, 5–14 (1966).Google Scholar
- 6.V. G. Bondarchuk, L. A. Kaluzhnin, V. N. Kotov, and B. A. Romov, “Galois theory for Post algebras. I, II,” Kibernetika, No. 3, 1–10; No. 5, 1–9, (1969).Google Scholar
- 7.A. Mansoux, “Théories de Galois locales,” Compt. Rend. Acad. Sci. Paris,282, No. 15, 759–762 (1976).Google Scholar
- 8.I. Rosenberg, “Une correspondence de Galois entre les algébres universelles et les relations dans le méme univers,” Compt. Rend. Acad. Sci. Paris,280, No. 10, 615–616 (1975).Google Scholar
- 9.B. A. Romov, “Galois correspondence between iterative Post algebras and relations on infinite sets,” Kibernetika, No. 3, 62–64 (1977).Google Scholar
- 10.I. Rosenberg, “Über die funktionale vollständigkeit in den mehrwertigen Logiken,” Rozpravy Ceskoslovenské Akademie Véd., Praha,80, No. 4, 1–93 (1970).Google Scholar
- 11.A. Fraenkel and Y. Bar-Hillel, Foundations of Set Theory [Russian translation], Mir, Moscow (1966).Google Scholar
- 12.G. P. Gavrilov, “On functional completeness in countably-valued logics,” Probl. Kibernet.,15, 5–64 (1965).Google Scholar
- 13.I. Rosenberg, “The set of maximal closed classes of operations on an infinite set A has a cardinality 2 exp 2 exp |A|,” Arch. Math. (Basel),27, No. 6, 561–568 (1976).Google Scholar
- 14.I. Rosenberg, “Maximal clones on algebras A and Ar,” Rend. Sirc. Mat. Palermo,18, Ser. II, 329–333 (1969).Google Scholar
- 15.B. A. Romov, “On formulability of predicates on a finite model,” Kibernetika, No. 1, 41–42 (1971).Google Scholar
- 16.Yu. V. Golunkov, “Algorithmic completeness and complexity of microprograms,” Kibernetika, No. 3, 1–15 (1977).Google Scholar
- 17.G. P. Gavrilov, “Precomplete classes of partial countably-valued logic containing all the functions of one variable,” Diskret. Anal., Novosibirsk, No. 28, 12–24 (1976).Google Scholar
- 18.A. Foster, “Functional completeness in the small,” Math. Annal.,143, 29–58 (1961).Google Scholar
Copyright information
© Plenum Publishing Corporation 1981