Labelled Non-Classical Logics
By: by Luca Viganò
Publisher: Springer US
Published: 2000
Place of publication: Boston, MA
Language: eng
Format: [electronic resource] /
Number of pages: 291
ISBN-13: 9781441949622; 9781475732085
Subjects: Philosophy (General); Symbolic and mathematical Logic; Computer science; Logic
Description: The subject of Labelled Non-Classical Logics is the development and investigation of a framework for the modular and uniform presentation and implementation of non-classical logics, in particular modal and relevance logics. Logics are presented as labelled deduction systems, which are proved to be sound and complete with respect to the corresponding Kripke-style semantics. We investigate the proof theory of our systems, and show them to possess structural properties such as normalization and the subformula property, which we exploit not only to establish advantages and limitations of our approach with respect to related ones, but also to give, by means of a substructural analysis, a new proof-theoretic method for investigating decidability and complexity of (some of) the logics we consider. All of our deduction systems have been implemented in the generic theorem prover Isabelle, thus providing a simple and natural environment for interactive proof development. Labelled Non-Classical Logics is essential reading for researchers and practitioners interested in the theory and applications of non-classical logics.
Notes: Online full text is restricted to subscribers.

Also available in print.

Mode of access: World Wide Web.