A theory of hypermodal eogics: Mode shifting in modae eogic

D. M. Gabbay

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

A hypermodality is a connective D whose meaning depends on where in the formula it occurs. The paper motivates the notion and shows that hypermodal logics are much more expressive than traditional modal logics. In fact we show that logics with very simple K hypermodalities are not complete for any neighbourhood frames.

Original languageEnglish
Pages (from-to)211-243
Number of pages33
JournalJournal of Philosophical Logic
Volume31
Issue number3
DOIs
StatePublished - 2002
Externally publishedYes

Keywords

  • Combining logic
  • Frame completeness
  • Hypermodality
  • Modal logic

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