Skip to main content
Log in

Foreword

  • Published:
Studia Logica Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Abashidze, M. A., Ordinal completeness of the Gödel-Löb modal system, Intensional logics and the logical structure of theories (Telavi, 1985), “Metsniereba”, Tbilisi, 1988, pp. 49–73 (Russian).

  2. Bezhanishvili G., Esakia L., Gabelaia D.: ‘Some results on modal axiomatization and definability for topological spaces’. Studia Logica 81(3), 325–355 (2005)

    Article  Google Scholar 

  3. Bezhanishvili, G., L. Esakia, and D. Gabelaia, ‘K4.Grz and hereditarily irresolvable spaces’, in S. Feferman, W. Sieg, V. Kreinovich, V. Lifschitz, and R. de Queiroz (eds.), Proofs, Categories and Computations. Essays in honor of Grigori Mints. College Publications, 2010, pp. 61–69.

  4. Bezhanishvili G., Esakia L., Gabelaia D.: ‘The modal logic of Stone spaces: diamond as derivative’. Rev. Symb. Log. 3(1), 26–40 (2010)

    Article  Google Scholar 

  5. Bezhanishvili, G., L. Esakia, and D. Gabelaia, ‘Spectral and T 0-spaces in dsemantics’, in N. Bezhanishvili, S. Löbner, K. Schwabe, and L. Spada (eds.), Lecture Notes in Artificial Intelligence. Springer, 2011, pp. 16–29.

  6. Blass A.: ‘Infinitary combinatorics and modal logic’. J. Symbolic Logic 55(2), 761–778 (1990)

    Article  Google Scholar 

  7. Blok, W., Varieties of interior algebras, Ph.D. thesis, University of Amsterdam, 1976.

  8. Chagrov A., Zakharyaschev M.: Modal logic, Oxford Logic Guides, vol. 35. The Clarendon Press Oxford University Press, New York (1997)

    Google Scholar 

  9. Esakia L.: ‘Topological Kripke models’. Soviet Math. Dokl. 15, 147–151 (1974)

    Google Scholar 

  10. Esakia, L., The problem of dualism in the intuitionistic logic and Browerian lattices, V Inter. Congress of Logic, Methodology and Philosophy of Science, Canada, 1975, pp. 7–8.

  11. Esakia, L., On modal “companions” of superintuitionistic logics, VII Soviet Symposium on Logic (Kiev, 1976), 1976, pp. 135–136 (Russian).

  12. Esakia, L., Semantical analysis of bimodal (tense) systems, Logic, Semantics and Methodology, “Metsniereba”, Tbilisi, 1978, pp. 87–99 (Russian).

  13. Esakia, L., On the variety of Grzegorczyk algebras, Studies in nonclassical logics and set theory, “Nauka”, Moscow, 1979, pp. 257–287 (Russian).

  14. Esakia, L., Diagonal constructions, Löb’s formula, and Cantor’s scattered spaces, Studies in logic and semantics’, “Metsniereba”, Tbilisi, 1981, pp. 128–143 (Russian).

  15. Esakia L.: ‘On the variety of Grzegorczyk algebras’. Sel. Sov. Math. 3(4), 343–366 (1984)

    Google Scholar 

  16. Esakia, L., Heyting algebras. Duality theory, “Metsniereba”, Tbilisi, 1985 (Russian).

  17. Esakia, L., A classification of elements in closure algebras: Hausdorff residues, IX Soviet Conference in Logic and Philosophy of Science, Moscow, 1986, pp. 172–173 (Russian).

  18. Esakia, L., On a classification of elements in closure algebras, Methods for research in logic,“Metsniereba”, Tbilisi, 1986, pp. 48–54 (Russian).

  19. Esakia, L., Provability logic with quantifier modalities, Intensional logics and the logical structure of theories (Telavi, 1985). “Metsniereba”, Tbilisi, 1988, pp. 4–9 (Russian).

  20. Esakia, L., Provability interpretations of intuitionistic logic, Logical investigations, No. 5 (Moscow, 1997). “Nauka”, Moscow, 1998, pp. 19–24 (Russian).

  21. Esakia L.: ‘Quantification in intuitionistic logic with provability smack’. Bull. Sect. Logic 27, 26–28 (1998)

    Google Scholar 

  22. Esakia, L., Creative and critical points in intuitionistic Kripke models and adjoint modalities, Russian Academy of Sciences, Moscow, 1999, pp. 78–82 (Russian).

  23. Esakia, L., Synopsis of fronton theory, Logical investigations, No. 7 (Moscow, 1999). “Nauka”, Moscow, 2000, pp. 137–147 (Russian).

  24. Esakia, L., Weak transitivity—a restitution, Logical investigations, No. 8 (Moscow, 2001). “Nauka”, Moscow, 2001, pp. 244–255 (Russian).

  25. Esakia, L., A modal version of Gödel’s second incompleteness theorem, and the McKinsey system, Logical investigations, No. 9, “Nauka”, Moscow, 2002, pp. 292– 300 (Russian).

  26. Esakia L.: ‘Intuitionistic logic and modality via topology’. Ann. Pure Appl. Logic 127(1-3), 155–170 (2004)

    Article  Google Scholar 

  27. Esakia L.: ‘The modalized Heyting calculus: a conservative modal extension of the intuitionistic logic’. J. Appl. Non-Classical Logics 16(3-4), 349–366 (2006)

    Article  Google Scholar 

  28. Esakia L.: ‘Around provability logic’. Ann. Pure Appl. Logic 161(2), 174–184 (2009)

    Article  Google Scholar 

  29. Esakia L., Grigolia R.: ‘Christmas trees. On free cyclic algebras in some varieties of closure algebras’. Bull. Sect. Logic 4(3), 95–102 (1975)

    Google Scholar 

  30. Esakia L., Grigolia R.: ‘The criterion of Brouwerian and closure algebras to be finitely generated’. Bull. Sect. Logic 6(2), 46–52 (1977)

    Google Scholar 

  31. Esakia L., Grigolia R.: ‘Formulas of one propositional variable in intuitionistic logic with the Solovay modality’. Logic Log. Philos 17(1-2), 111–127 (2008)

    Google Scholar 

  32. Esakia L., M. Jibladze, Pataraia D.: ‘Scattered toposes’. Ann. Pure Appl. Logic 103(1-3), 97–107 (2000)

    Article  Google Scholar 

  33. Esakia, L., and S. Meskhi, On five critical systems, Theory of logical entailment, Part I, Moscow, 1974, pp. 76–79.

  34. Esakia L., Meskhi S.: ‘Five critical modal systems’. Theoria 43(1), 52–60 (1977)

    Article  Google Scholar 

  35. Gödel K.: ‘Eine Interpretation des intuitionistischen Aussagenkalkülus’. Ergebnisse eines mathematischen Kolloquiums 4, 39–40 (1933)

    Google Scholar 

  36. Grzegorczyk A.: ’Some relational systems and the associated topological spaces. Fund. Math 60, 223–231 (1967)

    Google Scholar 

  37. Jónsson B., Tarski A.: ‘Boolean algebras with operators. I’. Amer. J. Math. 73, 891–939 (1951)

    Article  Google Scholar 

  38. Jónsson B., Tarski A.: ‘Boolean algebras with operators. II’. Amer. J. Math. 74, 127–162 (1952)

    Article  Google Scholar 

  39. Kripke S. A.: ‘Semantical analysis of modal logic. I. Normal modal propositional calculi’. Z. Math. Logik Grundlagen Math. 9, 67–96 (1963)

    Article  Google Scholar 

  40. Kripke, S. A., Semantical analysis of intuitionistic logic. I, Formal Systems and Recursive Functions (Proc. Eighth Logic Colloq., Oxford, 1963. North-Holland, Amsterdam, 1965, pp. 92–130.

  41. Maksimova, L., ‘Pretabular extensions of Lewis’s logic S4’, Algebra i Logika 14(1):28–55, 117, 1975 (Russian).

  42. Maksimova, L., and V. Rybakov, ‘The lattice of normal modal logics’, Algebra i Logika 13:188–216, 235, 1974 (Russian).

  43. McKinsey J. C. C., Tarski A.: ‘The algebra of topology’. Annals of Mathematics 45, 141–191 (1944)

    Article  Google Scholar 

  44. McKinsey J. C. C., Tarski A.: ‘On closed elements in closure algebras’. Ann. of Math. 47(2), 122–162 (1946)

    Article  Google Scholar 

  45. McKinsey J. C. C., Tarski A.: ‘Some theorems about the sentential calculi of Lewis and Heyting’. J. Symbolic Logic 13, 1–15 (1948)

    Article  Google Scholar 

  46. Rasiowa, H., and R. Sikorski, The mathematics of metamathematics, Monografie Matematyczne, Tom 41, Państwowe Wydawnictwo Naukowe, Warsaw, 1963.

  47. Sambin G., Vaccaro V.: ‘A new proof of Sahlqvist’s theorem on modal definability and completeness’. J. Symbolic Logic 54(3), 992–999 (1989)

    Article  Google Scholar 

  48. Stone M. H.: ‘The theory of representations for Boolean algebras’. Trans. Amer. Math. Soc. 40(1), 37–111 (1936)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Guram Bezhanishvili.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Beklemishev, L., Bezhanishvili, G., Mundici, D. et al. Foreword. Stud Logica 100, 1–7 (2012). https://doi.org/10.1007/s11225-012-9394-y

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11225-012-9394-y

Keywords

Navigation