Title
An abstract standardisation theorem
Abstract
An axiomatic version of the standardization theorem that shows the necessary basic properties between nesting of redexes and residuals is presented. This axiomatic approach provides a better understanding of standardization, and makes it applicable in other settings, such as directed acyclic graphs (dags) or interaction networks. conflicts between redexes are also treated. The axioms include stability in the sense given by G. Berry (Ph.D. thesis, Univ. of Paris, 1979), proving it to be an intrinsic notion of deterministic calculi
Year
DOI
Venue
1992
10.1109/LICS.1992.185521
LICS
Keywords
Field
DocType
interaction networks,deterministic calculi,redexes,residuals,formal logic,graph theory,axiomatic,standardization theorem,directed acyclic graphs,normal form,calculus,standardisation,arithmetic,top down,stability
Graph theory,Discrete mathematics,Graph,Combinatorics,Axiomatic system,Axiom,Computer science,Directed acyclic graph,Standardization
Conference
Citations 
PageRank 
References 
34
1.89
3
Authors
3
Name
Order
Citations
PageRank
Georges Gonthier12275195.06
Jean-jacques Lévy293295.41
Paul-andré Melliès339230.70