Abstract
In this paper we characterize varieties with the amalgamation property and the congruence extension property by means of a condition of proof-theoretic nature resembling a version of Craig’s interpolation property due to Maehara (1961).
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References
Bacsich, P. D., 1972, Injectivity in Model Theory, Colloqu. Math., 25:165.
Bacsich, P. D., 1975, Amalgamation Properties and Interpolation Theorems for Equational Theories, Alg. Universalis, 5:45.
Burris, S., and Sankappanavar, H. P., 1981, “A Course in Universal Algebra,” Springer, Berlin.
Craig, W., 1957, Three Uses of the Herbrand-Gentzen Theorem in Relating Model Theory and Proof Theory, J. Symb. Log., 22:269.
Jónsson, B., 1965, Extensions of Relational Structures, in: “The Theory of Models, Proceedings of the 1963 Symposium at Berkeley,” J. W. Addison, L. Henkin, A. Tarski, eds., North-Holland, Amsterdam.
Maehara, S., 1961, Craig’s Interpolation Theorem (in Japanese), Sŭgaku, 235.
Pigozzi, D., 1971, Amalgamation, Congruence-extension, and Interpolation Properties in Algebras, Alg. Universalis, 1:269.
Takeuti, G., 1975, “Proof Theory,” North-Holland, Amsterdam.
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© 1985 Springer Science+Business Media New York
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Wroński, A. (1985). On a Form of Equational Interpolation Property. In: Dorn, G., Weingartner, P. (eds) Foundations of Logic and Linguistics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-0548-2_2
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DOI: https://doi.org/10.1007/978-1-4899-0548-2_2
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4899-0550-5
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