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Graded modalities. III (the completeness and compactness of S40)

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Abstract

We go on along the trend of [2] and [1], giving an axiomatization of S4 0 and proving its completeness and compactness with respect to the usual reflexive and transitive Kripke models. To reach this results, we use techniques from [1], with suitable adaptations to our specific case.

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References

  1. F. De Caro, Graded modalities. II, Studia Logica 47 (1988), pp. 1–10.

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  2. M. Fattorosi-Barnaba and F. De Caro, Graded modalities. I, Studia Logica 44 (1985), pp. 197–221.

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Authors and Affiliations

  1. Dipartimento di Matematica Istituto “G. Castelnuovo”, Università di Roma “LA Sapienza”, P. le A. Moro 2, I-00185, Roma, Italy

    M. Fattorosi-Barnaba & C. Cerrato

  2. Fondazione “U. Bordoni”, v. B. Castiglione 59, I-00142, Roma, Italy

    M. Fattorosi-Barnaba & C. Cerrato

Authors
  1. M. Fattorosi-Barnaba
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  2. C. Cerrato
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Additional information

The present work was carried out while the author had a grant of the Foundation “U. Bordoni”.

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Fattorosi-Barnaba, M., Cerrato, C. Graded modalities. III (the completeness and compactness of S40). Stud Logica 47, 99–110 (1988). https://doi.org/10.1007/BF00370285

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  • DOI: https://doi.org/10.1007/BF00370285

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