Affiliation:
1. University of Zagreb Faculty of Science Department of Mathematics Croatia
2. University of Zagreb, Faculty of Teacher Education Chair of Mathematics and Statistics Croatia
Abstract
AbstractInterpretability logic is a modal formalization of relative interpretability between first‐order arithmetical theories. Verbrugge semantics is a generalization of Veltman semantics, the basic semantics for interpretability logic. Bisimulation is the basic equivalence between models for modal logic. We study various notions of bisimulation between Verbrugge models and develop a new one, which we call w‐bisimulation. We show that the new notion, while keeping the basic property that bisimilarity implies modal equivalence, is weak enough to allow the converse to hold in the finitary case. To do this, we develop and use an appropriate notion of bisimulation games between Verbrugge models.
Funder
Hrvatska Zaklada za Znanost
Cited by
2 articles.
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