Why combine logics?

Patrick Blackburn, Maarten de Rijke

Research output: Contribution to journalJournal articlepeer-review

Abstract

Combining logics has become a rapidly expanding enterprise that is inspired mainly by concerns about modularity and the wish to join together tailor made logical tools into more powerful but still manageable ones. A natural question is whether it offers anything new over and above existing standard languages. By analysing a number of applications where combined logics arise, we argue that combined logics are a potentially valuable tool in applied logic, and that endorsements of standard languages often miss the point. Using the history of quantified modal logic as our main example, we also show that the use of combined structures and logics is a recurring theme in the analysis of existing logical systems.

Original languageEnglish
JournalStudia Logica
Volume59
Issue number1
Pages (from-to)5-27
Number of pages23
ISSN0039-3215
DOIs
Publication statusPublished - 1997
Externally publishedYes

Keywords

  • Combination of logics
  • Complex structures
  • Mathematics of modeling
  • Modularity
  • Representation languages

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