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The shortest common nonsubsequence problem is NP-complete

โœ Scribed by M. Middendorf


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
337 KB
Volume
108
Category
Article
ISSN
0304-3975

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๐Ÿ“œ SIMILAR VOLUMES


The STO problem is NP-complete
โœ P. Krysta; L. Pacholski ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 233 KB

We prove that the problem STO of deciding whether or not a finite set E of term equations is subject to occur-check is in NP. E is subject to occur-check if the execution of the Martelli-Montanari unification algorithm gives for input E a set E โˆช {x = t}, where t = x and x appears in t. Apt et al. (

The STO-problem is NP-hard
โœ Krzysztof R. Apt; Peter van Emde Boas; Angelo Welling ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 209 KB

A finite set of term equations \(E\) is called subject to the occur-check (STO) if a sequence of actions of the Martelli-Montanari unification algorithm starts with \(E\) and ends with a failure due to occur-check. We prove here that the problem of deciding whether \(E\) is STO is NP-hard.