Titlebook: Dick de Jongh on Intuitionistic and Provability Logics; Nick Bezhanishvili,Rosalie Iemhoff,Fan Yang Book 2024 The Editor(s) (if applicable

傻瓜

Harald Gleissner,J. Christian Femerlinged on that calculus it is shown that the logic has uniform interpolation. Furthermore, a separate, simple proof of interpolation is provided that also uses the sequent calculus. From the literature it is known that Lax Logic has interpolation, but all known proofs use models rather than proof systems.

嬉耍

https://doi.org/10.1007/3-540-27629-7diate logics in the team semantics setting. We do this by modifying . with axioms written with two different versions of disjunction in the logic, a local one and global one. We prove a characterization theorem in the first approach and we introduce a generalized team semantics in the second one.

recession

The ,-Provability Logic of HA Revisited,variables. Also the .-provability logic of the Heyting Arithmetic ., is characterized by (Ardeshir & Mojtahedi, .) as . (for definition of ., see Sect. .). In this paper, we find some translation ., which embeds . in ., the intuitionistic counterpart of ..

Budget

Proof Theory for Lax Logic,ed on that calculus it is shown that the logic has uniform interpolation. Furthermore, a separate, simple proof of interpolation is provided that also uses the sequent calculus. From the literature it is known that Lax Logic has interpolation, but all known proofs use models rather than proof systems.

urethritis

Intermediate Logics in the Setting of Team Semantics,diate logics in the team semantics setting. We do this by modifying . with axioms written with two different versions of disjunction in the logic, a local one and global one. We prove a characterization theorem in the first approach and we introduce a generalized team semantics in the second one.

hermitage

2211-2758 h-Sambin fixed point theorem?and of modal, intuitionistic, a.This book is dedicated to Dick de Jongh’s contributions to the theory of intuitionistic and provability logics. Consisting of 13 chapters, written by leading experts,?this book discusses de Jongh’s?original contributions and consequent dev

Chagrin

Highbrow

歡笑

Bronchial-Tubes

https://doi.org/10.1007/1-4020-3986-7omparable, we axiomatize their join and investigate several subtheories, whose axioms are obtained as fixed points of simple formulas. We also show that both . and . are ., that is, their validity in the corresponding preservativity logic of a given arithmetical theory transfers to its finite extensions.