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17th Annual Symposium on Foundations of Computer Science (FOCS 1976)
Recognizing certain repetitions and reversals within strings
October 25-October 27
ASCII Text
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Zvi Galil, Joel Seiferas, "Recognizing certain repetitions and reversals within strings," Foundations of Computer Science, IEEE Annual Symposium on, pp. 236-252, 17th Annual Symposium on Foundations of Computer Science (FOCS 1976), 1976.
 
 
BibTex
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@article{ 10.1109/SFCS.1976.25,
author = {Zvi Galil and Joel Seiferas},
title = {Recognizing certain repetitions and reversals within strings},
journal ={Foundations of Computer Science, IEEE Annual Symposium on},
volume = {0},
year = {1976},
issn = {0272-5428},
pages = {236-252},
doi = {http://doi.ieeecomputersociety.org/10.1109/SFCS.1976.25},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - CONF
JO - Foundations of Computer Science, IEEE Annual Symposium on
TI - Recognizing certain repetitions and reversals within strings
SN - 0272-5428
SP236
EP252
A1 - Zvi Galil,
A1 - Joel Seiferas,
PY - 1976
VL - 0
JA - Foundations of Computer Science, IEEE Annual Symposium on
ER -
 
Let P1 = {w ε Σ*:w = wR, |w| > 1} be the set of all nontrivial palindromes over Σ. In Part I, we present a linear-time on-line recognition algorithm for P1* ("palstar") on a random-access machine with addition and uniform cost criterion. We also present a lineartime on-line recognition algorithm for P12 on a multitape Turing machine and a recognition algorithm for P12 on a two-way deterministic pushdown automaton. The correctness of these algorithms is based on new "cancellation lemmas" for the languages P1* and P12. In Part II, we present real-time recognition algorithms for the languages {wxyxz ε Σ*: |w|=r|x|, |y|=s|x|, |z|=t|x|} and {wxyxRz ε Σ*: |w|=r|x|, |y|=s|x|, |z|=t|x|} on multitape Turing machines, for arbitrary fixed r, s, and t.
Citation:
Zvi Galil, Joel Seiferas, "Recognizing certain repetitions and reversals within strings," focs, pp.236-252, 17th Annual Symposium on Foundations of Computer Science (FOCS 1976), 1976
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