The Shortest Common Nonsubsequence Problem is NP-Complete
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Abstract The Shortest Common Nonsubsequence (SCNS) problem is: Given a finite set L of strings over an alphabet Σ and an integer k∈ N , is there a string of length ⩽ k over Σ that is not a subsequence of any string in L? The SCNS problem is shown to be NP-complete for strings over an alphabet of size ⩾ 2.
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