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Questions regarding well-defined instructions for completing a task, and relevant analysis in terms of time/memory/etc.

5 votes

Worst number of questions needed to learn a monotonic predicate over a poset

For the Boolean n-cube $(\{0, 1\}^n, \leq)$ (or, equivalently, for the poset $(2^S, \subseteq)$ of all subsets of an n-element set), the answer is given by Korobkov and Hansel's theorems (from 1963 an …
dd1's user avatar
  • 537
6 votes
Accepted

Quanitifier Free Presburger Arithmetic: Upper bound on solution size?

You can find an answer in the following paper: Joachim von zur Gathen, Malte Sieveking. A bound on solutions of integer linear equalities and inequalities. Proc. AMS 72(1) (1978) (pdf) A simple coro …
dd1's user avatar
  • 537