Workshop on Algebraic Logic
January 7–8, 2009
There is a growing interest in the field of Algebraic Logic in India. An intense two-week-long exposition on some topics of the area was held during the 2nd Indian Winter School on Logic at the Indian Institute of Technology Kanpur in January, 2007. Details can be found here. The pre-conference workshop on Algebraic Logic is an effort to further build on the interest generated.
The workshop will focus on the two topics of Relation Algebras and Substructural Logics. The invited speakers for the former are Ian Hodkinson and Robin Hirsch, while Hiroakira Ono and Peter Jipsen are the participating experts for Substructural Logics. The schedule for the workshop, including abstracts of the talks, is given below. References that may be used as preparatory material follow.
In addition to the theme lectures, the workshop will have a few short presentations on ongoing research in the area.
Schedule
Click here for the PDF version of the schedule.
| 7 January 2009 | |
| 8:00 | Registration |
| Invited Talk CHAIR: Kamal Lodaya |
|
| 9:00 | Ian Hodkinson/Robin
Hirsch Tutorial on relation algebras (Invited Talk) Abstract |
| 10:30 | Discussion |
| 10:40 | Coffee |
| Invited Talk CHAIR: M K Chakraborty |
|
| 11:00 | Hiroakira Ono Tutorial on substructural logics (Invited Talk) Abstract |
| 12:00 | Discussion |
| CHAIR: Mohua Banerjee | |
| 12:10 | Jayanta Sen MV-algebra extended Abstract |
| 12:40 | Lunch |
| Invited Talk CHAIR: N Raja |
|
| 14:00 | Ian Hodkinson/Robin
Hirsch Games (Invited talk) Abstract |
| 15:00 | Discussion |
| 15:10 | Coffee |
| Invited Talk CHAIR: Ranjan Mukhopadhyay |
|
| 15:30 | Peter Jipsen Tutorial on residuated lattices (Invited Talk) Abstract |
| 17:00 | Discussion |
| 8 January 2009 | |
| Invited Talks CHAIR: Kamal Lodaya |
|
| 9:00 | Ian Hodkinson Completeness and canonicity (Invited Talk) Abstract |
| 10:00 | Discussion |
| 10:10 | Robin
Hirsch Constructing relation algebras with appropriate representation properties: the “Rainbow Algebra” (Invited Talk) Abstract |
| 11:10 | Discussion |
| 11:20 | Coffee |
| CHAIR: Mohua Banerjee | |
| 11:40 | Yoshihiro Maruyama Universal algebraic extensions of Stone dualities for distributive lattices and Heyting algebras Abstract |
| 12:10 | Md Aquil Khan Algebraic semantics for the logic of multiple-source approximation systems Abstract |
| 12:40 | Lunch |
| Invited Talk CHAIR: M K Chakraborty |
|
| 14:00 | Hiroakira Ono An algebraic view of logical properties of substructural logics (Invited Talk) Abstract |
| 15:00 | Discussion |
| 15:10 | Coffee |
| Invited Talk CHAIR: Ranjan Mukhopadhyay |
|
| 15:30 | Peter Jipsen Semantics of residuated lattices (Invited Talk) Abstract |
| 16:30 | Discussion |
Reference material for the invited talks
Relation Algebras
Games in algebraic logic: axiomatisations and beyond
Robin Hirsch and Ian Hodkinson in: Stefan Bold, Benedikt Löwe, Thoralf Räsch, Johan van Benthem (eds.), Foundations of the Formal Sciences V, Infinite Games, Studies in Logic 11, College Publications, London, 2007, pages 157–185.Canonicity and representable relation algebras
Talk by Ian Hodkinson at Logic in Hungary, Budapest, August 2005.
Substructural Logics
Residuated Lattices: An Algebraic Glimpse at Substructural Logics
Nikolaos Galatos, Peter Jipsen, Tomasz Kowalski, and Hiroakira Ono. Studies in Logic and the Foundations of Mathematics. Volume 151.Talks by Hiroakira Ono
Substructural Logics and Residuated Lattices – an Introduction
Hiroakira Ono 50 Years of Studia Logica, Trends in Logic, Kluwer Academic Publishers, 21, 193–228, 2003.Algebraic aspects of cut elimination
Francesco Belardinelli, Peter Jipsen, and Hiroakira Ono, Studia Logica, 77(2), 209–240, 2004.
Talks by Peter Jipsen
A survey of residuated lattices
Peter Jipsen and Constantine Tsinakis in Ordered Algebraic Structures, (J. Martinez, editor), Kluwer Academic Publishers, 2002, 19–56.Residuated frames with applications to decidability
Nikolaos Galatos and Peter Jipsen. Preprint.
While the workshop will not have Proceedings, there is a plan to publish selected papers based on workshop presentations in a special journal issue. (Details on this will be announced later.)
Co-ordinated by Mohua Banerjee (IIT Kanpur) and Mai Gehrke (RU Nijmegen).