Table 1: Notations and their meanings.

NotationsMeaning

The common alphabet of N sequences
The set of alphabets in the ith sequence
The kth sequence, with d being the number of sequences drawn from
T A set of sequences drawn from
A matched pair
The set of the FA states
δThe FA’s transition function
The FA’s initial state
F The set of the FA’s final states
Atm The FA recognizing/accepting all of the CSs of sequences from T
Kleene closure of ,    is a sequence from with the length of zero or nonzero}
L(Atm)A language recognized/accepted by the Atm