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Linearizing Some Recursive Logic Programs
February 1995 (vol. 7 no. 1)
pp. 137-149
ASCII Text
x 
 
Irène Guessarian, Jean-Eric Pin, "Linearizing Some Recursive Logic Programs," IEEE Transactions on Knowledge and Data Engineering, vol. 7, no. 1, pp. 137-149, February, 1995.
 
 
BibTex
x
 
@article{ 10.1109/69.368513,
author = {Irène Guessarian and Jean-Eric Pin},
title = {Linearizing Some Recursive Logic Programs},
journal ={IEEE Transactions on Knowledge and Data Engineering},
volume = {7},
number = {1},
issn = {1041-4347},
year = {1995},
pages = {137-149},
doi = {http://doi.ieeecomputersociety.org/10.1109/69.368513},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - JOUR
JO - IEEE Transactions on Knowledge and Data Engineering
TI - Linearizing Some Recursive Logic Programs
IS - 1
SN - 1041-4347
SP137
EP149
EPD - 137-149
A1 - Irène Guessarian,
A1 - Jean-Eric Pin,
PY - 1995
KW - Datalog program
KW - chain rule program
KW - linear program
KW - fixpoint
KW - semantics
KW - rational languages and functions
KW - linearization.
VL - 7
JA - IEEE Transactions on Knowledge and Data Engineering
ER -
 

Abstract—We give in this paper a sufficient condition under which the least fixpoint of the equation X=a+f(X)X equals the least fixpoint of the equation X=a+f(a)X. We then apply that condition to recursive logic programs containing chain rules: we translate it into a sufficient condition under which a recursive logic program containing n≥ 2 recursive calls in the bodies of the rules is equivalent to a linear program containing at most one recursive call in the bodies of the rules. We conclude with a discussion comparing our condition with the other approaches to linearization studied in the literature.

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Index Terms:
Datalog program, chain rule program, linear program, fixpoint, semantics, rational languages and functions, linearization.
Citation:
Irène Guessarian, Jean-Eric Pin, "Linearizing Some Recursive Logic Programs," IEEE Transactions on Knowledge and Data Engineering, vol. 7, no. 1, pp. 137-149, Feb. 1995, doi:10.1109/69.368513
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