Skip Navigation

Journal of Logic and Computation 2006 16(3):339-357; doi:10.1093/logcom/exi082
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Similar articles in ISI Web of Science
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrow Search for citing articles in:
ISI Web of Science (3)
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Diaconescu, R.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

Vol. 16 No. 3, © The Author, 2006. Published by Oxford University Press. All rights reserved.

Original Articles

Proof Systems for Institutional Logic

Razvan Diaconescu

Institute of Mathematics of the Romanian Academy, Bucharest. Email: Razvan.Diaconescu{at}imar.ro

Institutions with proof-theoretic structure, here called ‘institutions with proofs’, provide a complete formal notion for the intuitive notion of logic, including both the model and the proof theoretic sides. This paper introduces a concept of proof rules for institutions and argues that the proof systems of the actual institutions with proofs are freely generated by their presentations as systems of proof rules. We also show that proof-theoretic quantification, an institutional refinement of the (meta-)rule of Generalization from classical logic, can also be added freely to any proof system. By applying these universal properties, we are able to provide some general compactness results for proof systems and some general soundness results for institutions with proofs. We also discuss several open problems and further research directions.

Keywords: Institutions, proofs systems

Received 1 March 2005.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.