Characterizing Certain Topological Specifications

  • Bernhard Heinemann
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7353)


We prove a characterization theorem à la van Benthem for a particular modal system called topologic, which is, among other things, suitable for specifying the interrelation between knowledge and topology. The comparison language arising naturally from the relevant semantics is well-known from the beginnings of topological model theory, and subset space bisimulations provide for the proper notion of invariance of formulas here.


Modal Logic Modal Language Characterization Theorem Modal Formula Standard Translation 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Bernhard Heinemann
    • 1
  1. 1.Faculty of Mathematics and Computer ScienceUniversity of HagenHagenGermany

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