Title
On Normalisation of Infinitary Combinatory Reduction Systems
Abstract
For fully-extended, orthogonal infinitary Combinatory Reduction Systems, we prove that terms with perpetual reductions starting from them do not have (head) normal forms. Using this, we show that 1needed reduction strategies are normalising for fully-extended, orthogonal infinitary Combinatory Reduction Systems, and that1weak and strong normalisation coincide for such systems as a whole and, in case reductions are non-erasing, also for terms.
Year
DOI
Venue
2008
10.1007/978-3-540-70590-1_12
RTA
Keywords
Field
DocType
perpetual reduction,infinitary combinatory reduction systems,strong normalisation,case reduction,reduction strategy,orthogonal infinitary,combinatory reduction systems,normal form
Discrete mathematics,Algorithm,Mathematics
Conference
Volume
ISSN
Citations 
5117
0302-9743
6
PageRank 
References 
Authors
0.53
12
1
Name
Order
Citations
PageRank
Jeroen Ketema116013.52