Title
Combinatory Abstraction Using B, B' And Friends
Abstract
In this paper we characterise precisely the sets of terms whose abstractions can be defined using the following partial bases of combinators: {B, B',I}, {B,B'I,W}, {B,B',I,K}, {B,T,I}, {B,T,I,W} and {B,T,I,K}. The reduction axioms for B' and T areB'XYZ right-pointing open triangle Y(XZ), TXYZ right-pointing open triangle YXZ.The first two B'-bases correspond via type-assignment to two interesting implicational logics. T has the re-ordering property of B' but not its bracketing property, and turns out to be strictly stronger than B' but strictly weaker than CI whose reduction axiom is CIXY right-pointing open triangle YX.
Year
DOI
Venue
1994
10.1016/0304-3975(94)90114-7
THEORETICAL COMPUTER SCIENCE
DocType
Volume
Issue
Journal
135
2
ISSN
Citations 
PageRank 
0304-3975
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
P. Trigg100.34
J. Roger Hindley220382.67
Martin W. Bunder36416.78