Path:  Home   >  Rewriting systems and commutativity of diagrams
 
Rewriting systems and commutativity of diagrams
 
 
Description: 

It is a common situation that given a set of commutative diagrams one needs to establish commutativity of another set of diagrams. The naive approach to the problem is to partition each diagram into smaller diagrams, so that each subdiagram is in the given set of commutative diagrams.

In the talk I will show how by using the notion of decreasing diagrams, one can prove an existence of such a partition instead of producing an explicit partition. Of course this is enough to attest the commutativity of the diagram in question.

The decreasing diagrams were introduced by Klop, van Oostrom, and de Vrijer in the article "A geometric proof of confluence by decreasing diagrams, J.Logic Comput. 10 (2000), no. 3, 437--460", for a purpose of proving confluence of rewriting systems. It was observed for a long time that confluence of rewriting systems should be related to coherence results in category theory. The decreasing diagrams make this relation rather explicit.

Date:  2018-03-20
Start Time:   14:30
Speaker:  Ivan Yudin (CMUC, Univ. Coimbra)
Institution:  CMUC
Place:  Room 5.5
Research Groups: -Algebra, Logic and Topology
See more:   <Main>  
 
     
© 2012 Centre for Mathematics, University of Coimbra, funded by

Science and Technology Foundation

Powered by: rdOnWeb v1.4 | technical support