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A Sequent Calculus for 3-Dimensional Space

  • Norihiro Kamide
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6404)

Abstract

A central issue for spatial reasoning in practice is to formalize reasoning about 3-dimensional space. In this paper, a spatial logic called 3-dimensional spatial logic (3SL), which can appropriately represent the 3-Cartesian product ω 3 of the set ω of natural numbers, is introduced as a Gentzen-type sequent calculus. 3SL is an extension and generalization of the linear-time temporal logic LTL in which the time domain is ω. The completeness and cut-elimination theorems for 3SL are proved.

Keywords

Propositional Variable Completeness Theorem Spatial Reasoning Classical Propositional Logic Satisfaction Relation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Norihiro Kamide
    • 1
  1. 1.Waseda Institute for Advanced StudyWaseda UniversityTokyoJapan

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