On Guessing Whether A Sequence Has A Certain Property

Details On Guessing Whether A Sequence Has A Certain Property On Guessing Whether A Sequence Has A Certain Property

2010-11-30

arxiv.org/abs/1011.6626v3

J. Integer Sequences 14 (2011) 1-11

Mathematics

Logic

15 pages (revised to add addendum to give due credit to William Wadge for defining guessability long before me)

Scientific paper

A concept of "guessability" is defined for sets of sequences of naturals.
Eventually, these sets are thoroughly characterized. To do this, a nonstandard
logic is developed, a logic containing symbols for the ellipsis as well as for
functions without fixed arity. New proofs are given for some
seemingly-unrelated known results.

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