English

On Guessing Whether A Sequence Has A Certain Property

Logic 2012-01-25 v3

Abstract

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.

Keywords

Cite

@article{arxiv.1011.6626,
  title  = {On Guessing Whether A Sequence Has A Certain Property},
  author = {Samuel Alexander},
  journal= {arXiv preprint arXiv:1011.6626},
  year   = {2012}
}

Comments

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

R2 v1 2026-06-21T16:51:14.994Z