A realization theorem for the modal logic of transitive closure $\mathsf{K}^+$
- Autores: Shamkanov D.S.1,2
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Afiliações:
- Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
- National Research University Higher School of Economics, Moscow
- Edição: Volume 89, Nº 2 (2025)
- Páginas: 189-212
- Seção: Articles
- URL: https://ogarev-online.ru/1607-0046/article/view/303953
- DOI: https://doi.org/10.4213/im9598
- ID: 303953
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Somente assinantes
Resumo
We present a justification logic corresponding to the modal logic of transitive closure $\mathsf{K}^+$ and establish a normal realization theorem relating these two systems. The result is obtained by means of a sequent calculus allowing non-well-founded proofs.
Sobre autores
Daniyar Shamkanov
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow; National Research University Higher School of Economics, Moscow
Autor responsável pela correspondência
Email: daniyar.shamkanov@gmail.com
Candidate of physico-mathematical sciences, no status
Bibliografia
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- Д. С. Шамканов, “Теорема о реализации для логики доказуемости Гeделя–Лeба”, Матем. сб., 207:9 (2016), 171–190
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