Abstract
The concept of institution of variable truth values is introduced and some main results about institutions are generalized. In particular, some properties of institutions of variable truth values preserved by change of truth values are established.
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References
Delahaye J P, Thibau V. Programming in three-valued logic.Theoret. Comput. Sci., 1991, 78:189–216.
Fitting M. Partial model and logic programming.Theoret. Comput. Sci., 1986, 48: 229–255.
Goguen J A, Burstall R M. Introducing institutions. InProceedings of the Logics of Programming Working-Shop, Lecture Notes in Computer Science 164, Clarke E, Kozen D (eds.), Springer-Verlag, New York, 1984, 221–256.
Goguen J A, Burstall R M. Institutions: abstract model theory for specification and programming.JACM, 1992, 39: 95–146.
Goguen J A, Burstall R M. A study in the foundations of programming methodology: specifications, institutions, characters and parchments. InProceedings of the Conference on Category Theory and Computer Programming, Lecture Notes in Computer Science 240, Pitt D, Abramsky S, Poigne A, Rydehard D (eds.), Springer-Verlag, New York, 1986, 313–333.
Mayoh B. Galleries and institutions. Tech. Rep. DAIMI PB-191, Aarhus Univ., Demank, 1985.
Mycroft A. Logic programs and many-valued logic. InSTACS'84, Lecture Notes in Computer Science 166, Springer-Verlag, Berlin, 1984, 274–286.
Ying Mingsheng. The fundamental theorem of ultraproduct in Pavelka's logic.Zeitschr. f. Math. Logik und Grundlagen d. Math., 1982, 38: 197–201.
Ying Mingsheng. Compactness, the Löwenheim-Skolem property and the direct product of lattices of truth values.Zeitschr. f. Math. Logik und Grundlagen d. Math., 1992, 38: 521–524.
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Supported by the National Research and Development Project of High-Technology.
Ying Mingsheng graduated from Fuzhou Branch of Jiangxi Normal College in 1981. He joined Jiangxi Normal University in 1989. Since 1992, he has been a Professor of mathematics at that university. His research interests include mainly mathematical logic and its application in computer science and artificial intelligence, fuzzy logic and approximate reasoning, and topology based on non-classical logics.
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Ying, M. Institutions of variable truth values: An approach in the ordered style. J. of Compt. Sci. & Technol. 10, 267–273 (1995). https://doi.org/10.1007/BF02943494
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DOI: https://doi.org/10.1007/BF02943494