Title
Pattern Matching in Trace Monoids (Extended Abstract)
Abstract
An algorithm is presented solving the factor problem in trace monoids. Given two traces represented by words, the algorithm determines in linear time whether the first trace is a factor of the second one. The space used for this task is linear in the length of the first word. Similar to the Knuth-Morris-Pratt Algorithm for the factor problem on words, the algorithm simulates a finite automaton determined by the first word on the second word. To develop the algorithm, we examine overlaps of two traces, and extensible trace pairs (which represent still extensible prefixes of a searched factor appearing in some other trace), and show that both structures are lattices.
Year
DOI
Venue
1997
10.1007/BFb0023490
STACS
Keywords
Field
DocType
extended abstract,trace monoids,pattern matching,linear time,finite automaton
Discrete mathematics,Algebra,Monoid,Pattern matching,Mathematics
Conference
Volume
ISSN
ISBN
1200
0302-9743
3-540-62616-6
Citations 
PageRank 
References 
0
0.34
10
Authors
2
Name
Order
Citations
PageRank
Jochen Meßner1131.19
J Messner2131.19