Hybrid Completeness

  title={Hybrid Completeness},
  author={Patrick Blackburn and Miroslava Tzakova},
  journal={Log. J. IGPL},
In this paper we discuss two hybrid languages , L(∀) and L(↓), and provide them with complete axiomatizations. Both languages combine features of modal and classical logic. Like modal languages, they contain modal operators and have a Kripke semantics. Unlike modal languages, in these systems it is possible to ‘label’ states by using ∀ and ↓ to bind special state variables . This paper explores the consequences of hybridization for completeness. As we shall show, the challenge is to blend the… 

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Entities and indices

I Multiple Indexing.- 1 A basic intensional language.- 2 'Now' and 'then'.- 3 'Actually'.- 4 Indices and world variables.- 5 Mediated relations.- 6 A second-order treatment.- II Ontological

An Essay in Combinatory Dynamic Logic

Nominal Tense Logic

  • P. Blackburn
  • Mathematics, Computer Science
    Notre Dame J. Formal Log.
  • 1993