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| Notations | Meaning |
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| 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 |
| δ | The 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 |
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