Two natural deduction systems for hybrid logic: A comparison [Book Review]

Journal of Logic, Language and Information 13 (1):1-23 (2004)
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Abstract

In this paper two different natural deduction systems forhybrid logic are compared and contrasted.One of the systems was originally given by the author of the presentpaper whereasthe other system under consideration is a modifiedversion of a natural deductionsystem given by Jerry Seligman.We give translations in both directions between the systems,and moreover, we devise a set of reduction rules forthe latter system bytranslation of already known reduction rules for the former system.

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Citations of this work

Natural deduction for first-order hybrid logic.Torben BraÜner - 2005 - Journal of Logic, Language and Information 14 (2):173-198.
Hybrid-Logical Reasoning in the Smarties and Sally-Anne Tasks.Torben Braüner - 2014 - Journal of Logic, Language and Information 23 (4):415-439.
Axioms for classical, intuitionistic, and paraconsistent hybrid logic.Torben Braüner - 2006 - Journal of Logic, Language and Information 15 (3):179-194.
Why does the proof-theory of hybrid logic work so well?Torben Braüner - 2007 - Journal of Applied Non-Classical Logics 17 (4):521-543.
A proof–theoretic study of the correspondence of hybrid logic and classical logic.H. Kushida & M. Okada - 2006 - Journal of Logic, Language and Information 16 (1):35-61.

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References found in this work

Natural deduction: a proof-theoretical study.Dag Prawitz - 1965 - Mineola, N.Y.: Dover Publications.
Past, present and future.Arthur N. Prior - 1967 - Oxford,: Clarendon P..
Basic proof theory.A. S. Troelstra - 1996 - New York: Cambridge University Press. Edited by Helmut Schwichtenberg.
Past, present, and future.Arthur Prior - 1967 - Revue Philosophique de la France Et de l'Etranger 157:476-476.
Papers on time and tense.A. N. Prior - 1968 - Revue Philosophique de la France Et de l'Etranger 160:500-501.

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