Abstract
We prove Robinson consistency theorem as well as Craig, Lyndon and Herbrand interpolation theorems in linear continuous logic.
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References
Bagheri, S.M.: Linear model theory for Lipschitz structures. Arch. Math. Logic 53, 897–927 (2014)
Ben-Yaacov, I., Berenstein, A., Henson, C.W., Usvyatsov, A.: Model theory for metric structures. In: Chatzidakis, Z., Macpherson, D., Pillay, A., Wilkie, A. (eds.) Model theory with Applications to Algebra and Analysis, Volume 2. London Math Society Lecture Note Series, vol. 350, pp. 315–427. Cambridge University Press, Cambridge (2008)
Chang, C.C., Keisler, H.J.: Model Theory. North-Holland, Amsterdam (1990)
Conway, J.B.: A Course in Functional Analysis, 2nd edn. Springer, Berlin (1990)
Hoogland, E.: Definability and interpolation. Model-theoretic investigations, PhD Thesis, Amsterdam (2001)
Rudin, W.: Functional Analysis. McGraw-Hill Inc., New York (1991)
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Malekghasemi, M., Bagheri, SM. Consistency and interpolation in linear continuous logic. Arch. Math. Logic 62, 931–939 (2023). https://doi.org/10.1007/s00153-023-00869-3
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DOI: https://doi.org/10.1007/s00153-023-00869-3