Transformation of any Verbrugge model to a bisimilar Veltman model

Abstract Veltman semantics is the basic Kripke-like semantics for interpretability logic. Verbrugge semantics is a generalization of Veltman semantics. An appropriate notion of bisimulation between a Verbrugge model and a Veltman model is developed in this paper. We show that each Verbrugge model can be transformed to a bisimilar Veltman model.

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Publication Details

Journal
Mathematical Structures in Computer Science
Published
2025-01-01
DOI
https://doi.org/10.1017/s096012952500012x
Primary Topic
Logic, Reasoning, and Knowledge
Type
article
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article

Transformation of any Verbrugge model to a bisimilar Veltman model

Tin Perkov
Mathematical Structures in Computer Science
Logic, Reasoning, and Knowledge
article

Transformation of any Verbrugge model to a bisimilar Veltman model

Tin Perkov
article en

Abstract

Abstract Veltman semantics is the basic Kripke-like semantics for interpretability logic. Verbrugge semantics is a generalization of Veltman semantics. An appropriate notion of bisimulation between a Verbrugge model and a Veltman model is developed in this paper. We show that each Verbrugge model can be transformed to a bisimilar Veltman model.

Mathematical Structures in Computer ScienceVol. 35
University of Zagreb (HR)
Openalex Percentile: Top 95%
Logic, Reasoning, and Knowledge
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Transformation of any Verbrugge model to a bisimilar Veltman model — Tin Perkov · Mathematical Structures in Computer Science (2025) | TGRS Research Map | TGRS