Title
Is observational congruence on µ-expressions axiomatisable in equational Horn logic?
Abstract
It is well known that bisimulation on μ-expressions cannot be finitely axiomatised in equational logic. Complete axiomatisations such as those of Milner and Bloom/Ésik necessarily involve implicational rules. However, both systems rely on features beyond pure equational Horn logic: either rules that are impure by involving non-equational side-conditions, or rules that are schematically infinitary like the congruence rule which is not Horn. It is an open question whether these complications cannot be avoided in the proof-theoretically and computationally clean and powerful setting of second-order equational Horn logic.
Year
DOI
Venue
2010
10.1016/j.ic.2009.05.005
Information and Computation
Keywords
DocType
Volume
Process algebra,μ-Expressions,Observational congruence,Finite axiomatisation,Horn logic
Journal
208
Issue
ISSN
Citations 
6
0890-5401
1
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Michael Mendler131434.60
Gerald Lüttgen260040.71