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A Tableau System for Instantial Neighborhood Logic

  • Junhua YuEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10703)

Abstract

Extending classical propositional logic, instantial neighborhood logic (\(\mathsf {INL}\)) employs formulas like \(\Box (\alpha _1,...,\alpha _j;\alpha _0)\). The intended meaning of such a formula is: there is a neighborhood (of the current point) in which \(\alpha _0\) universally holds and none of \(\alpha _1,...,\alpha _j\) universally fails. This paper offers to \(\mathsf {INL}\) a tableau system that supports mechanical proof/counter-model search.

Keywords

Neighborhood logic Tableau 

Notes

Acknowledgements

The tableau system introduced in this paper was invented by the author during his January 2015 visit to University of Amsterdam, where he was led by Johan van Benthem and Nick Bezhanishvili to the field of neighborhood logic. Four anonymous referees have offered helpful suggestions to the initial submission of this paper.

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Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  1. 1.Department of PhilosophyTsinghua UniversityBeijingChina

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