No complete UP set conjecture

The class UP consists of languages accepted by polynomial-time nondeterministic Turing machines having a unique accepting computation on every accepted input. No complete UP set conjecture. There is no complete set, with respect to many-one reductions, in UP. The source presents this as a strengthening of the uniform no-p-optimal-proof-system conjecture.

Sources & referencesView supporting material

Primary source

Pavel Pudlak, “Incompleteness in the finite domain”, arXiv:1601.01487 (2017).

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