MATHEMATICAL MODAL LOGIC: A VIEW OF ITS EVOLUTION
MATHEMATICAL MODAL LOGIC: A VIEW OF ITS EVOLUTION
MATHEMATICAL MODAL LOGIC: A VIEW OF ITS EVOLUTION
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Mathematical Modal Logic: A View of its Evolution 87[Ben-Ari et al., 1983] Mordechai Ben-Ari, Amir Pnueli, and Zohar Manna. The temporal logicof branching time. Acta Informatica, 20:207–226, 1983.[Benton et al., 1998] P. N. Benton, G. M. Bierman, and V. C. V. de Paiva. Computationaltypes from a logical perspective. Journal of Functional Programming, 8:177–193, 1998.[Bergstra et al., 2001] J. A. Bergstra, A. Ponse, and S. A. Smolka. Handbook of Process Algebra.Elsevier, 2001.[Beth, 1955] E. W. Beth. Semantic entailment and formal derivability. Mededelingen van deKoninklijke Nederlandse Akademie van Wetenschappen, Afdeling Letterkunde, N. R., 18:309–342, 1955. Reprinted in The Philosophy of Mathematics, edited by Jaakko Hintikka, OxfordUniversity Press, 1969.[Birkhoff, 1933] Garrett Birkhoff. On the combination of subalgebras. Proceedings of the CambridgePhilosophical Society, 29:441–464, 1933.[Birkhoff, 1935] Garrett Birkhoff. On the structure of abstract algebras. Proceedings of theCambridge Philosophical Society, 31:433–454, 1935.[Birkhoff, 1944] Garrett Birkhoff. Subdirect unions in universal algebra. Bulletin of the AmericanMathematical Society, 50:764–768, 1944.[Birkhoff, 1948] Garrett Birkhoff. Lattice Theory. American Mathematical Society, second edition,1948.[Blok, 1978a] W. J. Blok. On the degree of incompleteness of modal logics. Bulletin of theSection of Logic of the Polish Academy of Sciences, 7(4):167–175, December 1978.[Blok, 1978b] W. J. Blok. On the degree of incompleteness of modal logics and the coveringrelation in the lattice of modal logics. Report 78-07, Department of Mathematics, Universityof Amsterdam, July 1978.[Blok, 1980] W. J. Blok. The lattice of modal logics: An algebraic investigation. The Journalof Symbolic Logic, 45:221–236, 1980.[Bochenski, 1961] I. M. Bochenski. A History of Formal Logic. University of Notre Dame Press,1961.[Boole, 1854] George Boole. An Investigation of the Laws of Thought. Walton and Maberley,1854. Reprinted by Dover Publications 1958.[Boolos and Sambin, 1985] George Boolos and Giovanni Sambin. An incomplete system ofmodal logic. Journal of Philosophical Logic, 14:351–358, 1985.[Boolos and Sambin, 1991] George Boolos and Giovanni Sambin. Provability: The emergenceof a mathematical modality. Studia Logica, 50:1–23, 1991.[Boolos, 1979] George Boolos. The Unprovability of Consistency. Cambridge University Press,1979.[Boolos, 1993] George Boolos. The Logic of Provability. Cambridge University Press, 1993.[Bradfield and Stirling, 2001] Julian Bradfield and Colin Stirling. Modal logics and mu-calculi:An introduction. In J. A. Bergstra, A. Ponse, and S. A. Smolka, editors, Handbook of ProcessAlgebra, pages 293–330. Elsevier, 2001.[Bull, 1964] R. A. Bull. A note on the modal calculi S4.2 and S4.3. Zeitschrift für MathematischeLogik und Grundlagen der Mathematik, 10:53–55, 1964.[Bull, 1965] R. A. Bull. An algebraic study of Diodorean modal systems. The Journal ofSymbolic Logic, 30:58–64, 1965.[Bull, 1966] R. A. Bull. That all normal extensions of S4.3 have the finite model property.Zeitschrift für Mathematische Logik und Grundlagen der Mathematik, 12:341–344, 1966.[Bull, 1968] R. A. Bull. An algebraic study of tense logics with linear time. The Journal ofSymbolic Logic, 33:27–38, 1968.[Bull, 1969] R. A. Bull. Note on a paper in tense logic. The Journal of Symbolic Logic, 34:215–218, 1969.[Carnap, 1946] Rudolph Carnap. Modalities and quantification. The Journal of Symbolic Logic,11:33–64, 1946.[Carnap, 1947] Rudolph Carnap. Meaning and Necessity. The University of Chicago Press,1947. Enlarged Edition 1956.[Chagrov and Zakharyaschev, 1997] Alexander Chagrov and Michael Zakharyaschev. ModalLogic. Oxford University Press, 1997.[Chang and Keisler, 1973] C. C. Chang and H. J. Keisler. Model Theory. North-Holland, Amsterdam,1973.