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A Uniform Tableau Method for Intuitionistic Modal Logics I (1993)  (Make Corrections)  (7 citations)
Giambattista Amati, Fiora Pirri
Studia Logica



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Abstract: We present tableau systems and sequent calculi for the intuitionistic analogues IK, ID, IT, IKB, IKDB, IB, IK4, IKD4, IS4, IKB4, IK5, IKD5, IK45, IKD45 and IS5 of the normal classical modal logics. We provide soundness and completeness theorems with respect to the models of intuitionistic logic enriched by a modal accessibility relation, as proposed by G. (Update)

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.... see also Grefe [1997] Various extensions of FS were studied by Bull [1966] Ono [1977] Fischer Servi [1977, 1980, 1984] Amati and Pirri [1994], Ewald [1986] Wolter and Zakharyaschev [1996] Wolter [1997b] The best known one is probably the logic MIPC = FS Phi 2p p...

.... paper [21] we extend a part of the theory developed here to systems with weaker connections between 2 and 3, e.g. to those in [15] 19] [1]. In Section 1 we define relational and algebraic semantics for intuitionistic modal logics and combine elements of duality theory for...

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6:   On modal logic with an intuitionistic base (context) - Fischer-Servi - 1977
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BibTeX entry:   (Update)

Giambattista Amati and Fiora Pirri. A uniform tableau method for intuitionistic modal logics I. Manuscript, 1993. http://citeseer.ist.psu.edu/article/amati93uniform.html   More

@article{ amati94uniform,
    author = "Giambattista Amati and Fiora Pirri",
    title = "A Uniform Tableau Method for Intuitionistic Modal Logics {I}",
    journal = "Studia Logica",
    volume = "53",
    number = "1",
    pages = "29--60",
    year = "1994",
    url = "citeseer.ist.psu.edu/article/amati93uniform.html" }
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343   Modal Logic: an Introduction (context) - Chellas - 1980
242   Proof methods for modal and intuitionistic logics (context) - Fitting - 1983
72   North-Holland (context) - Takeuti - 1975
47   Untersuchungen uber das logische Schliessen (context) - Gentzen
36   Time and Modality (context) - Prior - 1957
19   Intuitionistic Basis for NonMonotonic Logics (context) - Gabbay - 1982
17   Intuitionistic Logic (context) - van Dalen - 1986
14   Semantics for a class of Intuitionistic Modal Calculi (context) - Servi - 1980
14   On Modal Logics with an Intuitionistic Base (context) - Servi - 1977
12   Publication of The Research Institute for Mathematical Scien.. (context) - Ono, intuitionistic - 1977
11   Intuitionistic Tense and Modal Logic (context) - Ewald - 1986
11   Axiomatizations for some Intuitionistic Modal Logics (context) - Servi - 1984
11   Annals of Pure and Applied Logic (context) - Wijesekera, logic - 1990
9   An Intuitionistic Basis for NonMonotonic Reasoning (context) - Gabbay, Clarke - 1988
8   Relations between intuitionistic modal logics and intermedia.. (context) - Ono, Suzuki - 1987
6   Intuitionistic modal logic with quantifiers (context) - Fitch - 1949
6   Models for normal intuitionistic logics (context) - Bozic, Dosen - 1984
6   The Finite Model Property for MIPQ and some consequences (context) - Servi - 1978
5   Intuitionistic Modal Logics Incompatible with the law of the.. (context) - Vakarelov - 1981
5   Modality and possibility in some intuitionistic modal logics (context) - Font - 1986
4   Models for strongly normal intuitionistic modal logics (context) - Dosen - 1985
4   An algebraic approach to intuitionistic modal logics in conn.. (context) - Suzuki - 1989
3   Remarks on Halmos' Duality Theory (context) - Servi - 1981
3   Theoretical Aspects of Reasoning about Knowledge (context) - Plotkin, Stirling et al. - 1986
3   Completeness for Non Normal Intuitionistic Modal Logics (context) - Servi - 1981
2   A Modal Extension of Intuitionistic Logic (context) - Bull - 1965
2   Semantical Ivestigations in Heyting's Intuitionistic Logic (context) - Gabbay - 1981
2   Kripke Bundles for Intermediate Predicate Logics and Kripke .. (context) - Suzuki - 1989
2   MIPC as the formalisation of an Intuitionist Concept of Moda.. (context) - Bull - 1966



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