Abstract
A mathematical environment is a system of tools supporting interactive manipulation of knowledge represented in the form of (formalized) mathematical texts. A theoretical substantiation of a project proposed is the theory of interaction of agents and environments. At the present time, this theory is realized on the basis of a simulator of an action language developed in an algebraic programming system called APS.
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References
Yu. V. Kapitonova and A. A. Letichevskii, “Theorem proving in a mathematical information environment,” Kibern. Sist. Anal., No. 4, 3–12 (1998).
A. I. Degtyarev and A. V. Lyaletskii, “Logical inferences in SAD,” in: Mathematical Foundations of Systems of Artificial Intelligence, Cybernetics Institute of NASU, Kiev (1981), pp. 3–11.
B. Buchberger, “Mathematical A system for doing mathematics by computer?” in: A. Miola and M. Temperini (eds.), Advances in the Design of Symbolic Computation Systems, LNCS, Springer (1993).
D. M. R. Park, “Concurrency and automata on infinite sequences,” in: Proc. 5th GI Conf. Lecture Notes in Computer Science, V. 104, Springer-Verlag (1981).
V. M. Glushkov, “Problems of automata theory and artificial intelligence,” Kibernetika, No. 2, 3–17 (1970).
V. M. Glushkov, Yu. V. Kapitonova, A. A. Letichevskii, et al., “A practical formalized language for representing mathematical theories,” Kibernetika, No. 2, 19–28 (1972).
A. A. Letichevsky, D. R. Gilbert, “Agents and environments,” in: 1st International Scientific and Practical Conference on Programming, Proceedings 2–4, V. M. Glushkov Cybernetics Institute, National Academy of Sciences of Ukraine, Kiev (1998), pp. 32–44.
A. A. Letichevsky and D. R. Gilbert, “A general theory of action languages,” Kibern. Sist. Anal., No. 1, 16–36 (1998).
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Translated from Kibernetika i Sistemnyi Analiz, No. 1, pp. 17–34, January–February, 2000.
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Kapitonova, Y.V., Letichevskii, A.A. & Volkov, V.A. Deductive tools of an algebraic programming system. Cybern Syst Anal 36, 12–26 (2000). https://doi.org/10.1007/BF02733299
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DOI: https://doi.org/10.1007/BF02733299