Completeness Results for Memory Logics

  • Authors:
  • Carlos Areces;Santiago Figueira;Sergio Mera

  • Affiliations:
  • INRIA Nancy Grand Est, France;Departamento de Computación, FCEyN, UBA, Argentina and CONICET, Argentina;Departamento de Computación, FCEyN, UBA, Argentina

  • Venue:
  • LFCS '09 Proceedings of the 2009 International Symposium on Logical Foundations of Computer Science
  • Year:
  • 2009

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Abstract

Memory logics are a family of modal logics in which standard relational structures are augmented with data structures and additional operations to modify and query these structures. In this paper we present sound and complete axiomatizations for some members of this family. We analyze the use of nominals to achieve completeness, and present one example in which they can be avoided.