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 โช {x = t}, where t = x and x appears in t. Apt et al. (
The STO-problem is NP-hard
โ Scribed by Krzysztof R. Apt; Peter van Emde Boas; Angelo Welling
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 209 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0747-7171
No coin nor oath required. For personal study only.
โฆ Synopsis
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.
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