Proper Multi-Type Display Calculi for Rough Algebras

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In the present paper, we endow the logics of topological quasi Boolean algebras, topological quasi Boolean algebras 5, intermediate algebras of types 1-3, and pre-rough algebras with proper multi-type display calculi which are sound, complete, conservative, and enjoy cut elimination and subformula property. Our proposal builds on an algebraic analysis and applies the principles of the multi-type methodology in the design of display calculi.

Original languageEnglish
Pages (from-to)101-118
Number of pages18
JournalElectronic Notes in Theoretical Computer Science
Publication statusPublished - 1 Jan 2019
Event13th Workshop on Logical and Semantic Frameworks with Applications, LSFA 2018 - Fortaleza, Brazil
Duration: 26 Sept 201828 Sept 2018


  • canonical extensions
  • intermediate algebras
  • multi-type calculi
  • pre-rough algebras
  • proper display calculi
  • Rough sets
  • topological quasi Boolean algebras
  • topological quasi Boolean algebras 5


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