Comorphism-Based Grothendieck Logics

  • Authors:
  • Till Mossakowski

  • Affiliations:
  • -

  • Venue:
  • MFCS '02 Proceedings of the 27th International Symposium on Mathematical Foundations of Computer Science
  • Year:
  • 2002

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Abstract

In order to obtain a semantic foundation for heterogeneous specification, we extend Diaconescu's morphism-based Grothendieck institutions to the case of comorphisms. This is not just a dualization, because we obtain more general results, especially concerning amalgamation properties. We also introduce a proof calculus for structured heterogeneous specifications and study its soundness and completeness (where amalgamation properties play a r么le for obtaining the latter).