Sequents and trees

A Indrzejczak - Studies in Universal Logic, Birkhäuser, Cham, 2021 - Springer
There are a lot of excellent works in proof theory using various forms of Sequent Calculi (SC)
as the basic formal systems. 1 This book is of a different character. It is not a systematic …

Combination of uniform interpolants via Beth definability

D Calvanese, S Ghilardi, A Gianola, M Montali… - Journal of Automated …, 2022 - Springer
Uniform interpolants were largely studied in non-classical propositional logics since the
nineties, and their connection to model completeness was pointed out in the literature. A …

Model Completeness, Uniform Interpolants and Superposition Calculus: (With Applications to Verification of Data-Aware Processes)

D Calvanese, S Ghilardi, A Gianola, M Montali… - Journal of Automated …, 2021 - Springer
Uniform interpolants have been largely studied in non-classical propositional logics since
the nineties; a successive research line within the automated reasoning community …

[HTML][HTML] Uniform interpolation and the existence of sequent calculi

R Iemhoff - Annals of Pure and Applied Logic, 2019 - Elsevier
This paper presents a uniform and modular method to prove uniform interpolation for several
intermediate and intuitionistic modal logics. The proof-theoretic method uses sequent calculi …

[图书][B] Verification of Data-Aware Processes via Satisfiability Modulo Theories

A Gianola - 2023 - Springer
Verification of Data-Aware Processes via Satisfiability Modulo Theories Page 1 123 LNBIP 470
Verification of Data-Aware Processes via Satisfiability Modulo Theories Alessandro Gianola …

Combined covers and Beth definability

D Calvanese, S Ghilardi, A Gianola, M Montali… - … : 10th International Joint …, 2020 - Springer
Uniform interpolants were largely studied in non-classical propositional logics since the
nineties, and their connection to model completeness was pointed out in the literature. A …

Mechanised uniform interpolation for modal logics K, GL, and iSL

H Férée, I Giessen, S Gool, I Shillito - International Joint Conference on …, 2024 - Springer
The uniform interpolation property in a given logic can be understood as the definability of
propositional quantifiers. We mechanise the computation of these quantifiers and prove …

Uniform interpolation and sequent calculi in modal logic

R Iemhoff - Archive for Mathematical Logic, 2019 - Springer
A method is presented that connects the existence of uniform interpolants to the existence of
certain sequent calculi. This method is applied to several modal logics and is shown to cover …

[HTML][HTML] Uniform interpolation and coherence

T Kowalski, G Metcalfe - Annals of pure and applied logic, 2019 - Elsevier
A variety V is said to be coherent if every finitely generated subalgebra of a finitely presented
member of V is finitely presented. It is shown here that coherence corresponds to a key …

[图书][B] Practical uniform interpolation for expressive description logics

P Koopmann - 2015 - search.proquest.com
The thesis investigates methods for uniform interpolation in expressive description logics.
Description logics are formalisms commonly used to model ontologies. Ontologies store …