The method of hypersequents in the proof theory of propositional non-classical logics

Arnon Avron
Tel Aviv University
Until not too many years ago, all logics except classical logic (and, perhaps, intuitionistic logic too) were considered to be things esoteric. Today this state of a airs seems to have completely been changed. There is a growing interest in many types of nonclassical logics: modal and temporal logics, substructural logics, paraconsistent logics, non-monotonic logics { the list is long. The diversity of systems that have been proposed and studied is so great that a need is felt by many researchers to try to put some order in the present logical jungle. Thus Cl91], Ep90] and Wo88] are three recent books in which an attempt is made to develop a general theoretical framework for the study of logics. On the more pragmatic side, several systems have been developed with the goal of providing a computerized logical framework in which many di erent logical systems can be implemented in a uniform way. An example is the Edinburgh LF( HHP91])
Keywords No keywords specified (fix it)
Categories (categorize this paper)
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 57,041
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

No references found.

Add more references

Citations of this work BETA

Proofnets for S5: Sequents and Circuits for Modal Logic.Greg Restall - 2007 - In C. Dimitracopoulos, L. Newelski & D. Normann (eds.), Logic Colloquium 2005. Cambridge: Cambridge University Press. pp. 151-172.
Proof Theory for Modal Logic.Sara Negri - 2011 - Philosophy Compass 6 (8):523-538.
Semantic Pollution and Syntactic Purity.Stephen Read - 2015 - Review of Symbolic Logic 8 (4):649-661.

View all 30 citations / Add more citations

Similar books and articles

Modal Translations in Substructural Logics.Kosta Došen - 1992 - Journal of Philosophical Logic 21 (3):283 - 336.
Substructural Logics.Greg Restall - forthcoming - Stanford Encyclopedia of Philosophy.
Relational Proof System for Relevant Logics.Ewa Orlowska - 1992 - Journal of Symbolic Logic 57 (4):1425-1440.
Abstract Modal Logics.Ramon Jansana - 1995 - Studia Logica 55 (2):273 - 299.
Labelled Non-Classical Logics.Luca Viganò - 2000 - Kluwer Academic Publishers.


Added to PP index

Total views
8 ( #946,439 of 2,410,718 )

Recent downloads (6 months)
1 ( #540,271 of 2,410,718 )

How can I increase my downloads?


My notes