Preview
Unable to display preview. Download preview PDF.
References
Smorynski C. Beth's theorem and self-referential sentences. In: Macintyre et al. eds. Logic Colloquium '77, North Holland, Amsterdam, 1978.
Boolos G. On systems of modal logic with provability interpretations. Theoria, 1980, v. 46, No.l, pp. 7–18.
Beklemishev L.D. A provability logic without Craig's interpolation property. Mat. Zametki, 1989, v.45, No.6, pp. 12–22. (In Russian. English translation in Math. Notes, 1989, v.45.)
Beklemishev L.D. On the classification of propositional provability logics. Izvestiya Akademii Nauk SSSR, ser. mat., 1989, v.53, No.5, p.915–943. (In Russian. English translation in Math. USSR Izvestiya, 1990, v.35, No.2, pp.247–275.)
Guaspari D., Solovay R. Rosser's sentences. Annals of Mathematical Logic, 1979, v. 16, pp. 81–99.
Shavrukov V.Yu. On Rosser's provability predicate. Zeitschr. f. math. Logic und Grundlagen d. Math., 1991, Bd.7, S.317–330.
Artemov S. Logic of Proofs. Techn.Rep. 93-52, Mathematical Sciences Institute, Cornell University. (To appear in Annals of Pure and Applied Logic, 1994.)
Goryachev S.V. Ob arifmetike s lokal'nym principom refleksii dlya posserovskoi formuly dokazuemosti. Matematicheskie Zametki, 1989, v.46, No.3, pp.12–21 (in Russian).
D.H.J. de Jong A simplification of a completeness proof of Guaspari and Solovay. Studia Logica, 1987, v.46, pp.187–192.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1994 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Sidon, T. (1994). Craig interpolation property in modal logics with provability interpretation. In: Nerode, A., Matiyasevich, Y.V. (eds) Logical Foundations of Computer Science. LFCS 1994. Lecture Notes in Computer Science, vol 813. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-58140-5_31
Download citation
DOI: https://doi.org/10.1007/3-540-58140-5_31
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-58140-6
Online ISBN: 978-3-540-48442-4
eBook Packages: Springer Book Archive