[HTML][HTML] Universal (meta-) logical reasoning: Recent successes

C Benzmüller - Science of Computer Programming, 2019 - Elsevier
Classical higher-order logic, when utilized as a meta-logic in which various other (classical
and non-classical) logics can be shallowly embedded, is suitable as a foundation for the …

[PDF][PDF] Proof theory for non-normal modal logics: The neighbourhood formalism and basic results

S Negri - IfCoLog Journal of Logics and their Applications, 2017 - researchgate.net
The advent of Kripke semantics marked a decisive turning point for philosophical logic:
earlier axiomatic studies of modal concepts were replaced by a solid semantic method that …

Standard sequent calculi for Lewis' logics of counterfactuals

M Girlando, B Lellmann, N Olivetti… - European Conference on …, 2016 - Springer
We present new sequent calculi for Lewis' logics of counterfactuals. The calculi are based
on Lewis' connective of comparative plausibility and modularly capture almost all logics of …

A sequent calculus for preferential conditional logic based on neighbourhood semantics

S Negri, N Olivetti - Automated Reasoning with Analytic Tableaux and …, 2015 - Springer
The basic preferential conditional logic PCL, initially proposed by Burgess, finds an interest
in the formalisation of both counterfactual and plausible reasoning, since it is at the same …

Sequent systems for Lewis' conditional logics

B Lellmann, D Pattinson - European Workshop on Logics in Artificial …, 2012 - Springer
We present unlabelled cut-free sequent calculi for Lewis' conditional logic \mathbbV and
extensions, in both the languages with the entrenchment connective and the strong …

Cut-elimination for quantified conditional logic

C Benzmüller - Journal of Philosophical Logic, 2017 - Springer
A semantic embedding of quantified conditional logic in classical higher-order logic is
utilized for reducing cut-elimination in the former logic to existing results for the latter logic …

Non-normal modal logics and conditional logics: Semantic analysis and proof theory

J Chen, G Greco, A Palmigiano, A Tzimoulis - Information and Computation, 2022 - Elsevier
We introduce proper display calculi for basic monotonic modal logic, the conditional logic
CK and a number of their axiomatic extensions. These calculi are sound, complete …

Cut elimination in coalgebraic logics

D Pattinson, L Schröder - Information and Computation, 2010 - Elsevier
We give two generic proofs for cut elimination in propositional modal logics, interpreted over
coalgebras. We first investigate semantic coherence conditions between the axiomatisation …

From input/output logics to conditional logics via sequents–with provers

B Lellmann - Automated Reasoning with Analytic Tableaux and …, 2021 - Springer
We consider cut-free sequent calculi for a number of deontic logics from the family of
Input/Output logics. These sequent calculi provide a correspondence to the flat fragment of …

Nested sequent calculi for normal conditional logics

R Alenda, N Olivetti, GL Pozzato - Journal of Logic and …, 2013 - academic.oup.com
Nested sequent calculi are a useful generalization of ordinary sequent calculi, where
sequents are allowed to occur within sequents. Nested sequent calculi have been profitably …