loading...
 This Article 
   
 Share 
   
 Bibliographic References 
   
 Add to: 
 
Digg
Furl
Spurl
Blink
Simpy
Google
Del.icio.us
Y!MyWeb
 
 Search 
   
19th Annual IEEE Symposium on Logic in Computer Science (LICS'04)
The Omega Rule is II_2^0-Hard in the λβ-Calculus
Turku, Finland
July 13-July 17
ISBN: 0-7695-2192-4
ASCII Text
x 
 
Benedetto Intrigila, Richard Statman, "The Omega Rule is II_2^0-Hard in the λβ-Calculus," Logic in Computer Science, Symposium on, pp. 202-210, 19th Annual IEEE Symposium on Logic in Computer Science (LICS'04), 2004.
 
 
BibTex
x
 
@article{ 10.1109/LICS.2004.1319614,
author = {Benedetto Intrigila and Richard Statman},
title = {The Omega Rule is II_2^0-Hard in the λβ-Calculus},
journal ={Logic in Computer Science, Symposium on},
volume = {0},
year = {2004},
issn = {1043-6871},
pages = {202-210},
doi = {http://doi.ieeecomputersociety.org/10.1109/LICS.2004.1319614},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - CONF
JO - Logic in Computer Science, Symposium on
TI - The Omega Rule is II_2^0-Hard in the λβ-Calculus
SN - 1043-6871
SP202
EP210
A1 - Benedetto Intrigila,
A1 - Richard Statman,
PY - 2004
KW - null
VL - 0
JA - Logic in Computer Science, Symposium on
ER -
 
Benedetto Intrigila, Universit? degli Studi di L'Aquila, Italy
Richard Statman, Carnegie-Mellon University, Pittsburgh, PA
We give a many-one reduction of the set of true II_2^0 sentences to the set of consequences of the lambda calculus with the omega rule. This solves in the affirmative a well known problem of H. Barendregt. The technique of proof has interest in itself and can be extended to prove that the theory which identifies all unsolvable terms together with the omega rule is II_1^1-complete which solves another long-standing conjecture of H. Barendregt.
Citation:
Benedetto Intrigila, Richard Statman, "The Omega Rule is II_2^0-Hard in the λβ-Calculus," lics, pp.202-210, 19th Annual IEEE Symposium on Logic in Computer Science (LICS'04), 2004
Usage of this product signifies your acceptance of the Terms of Use.