We define a new property testing model for algorithms that do not have arbitrary query access to the input, but must instead traverse it in a manner that respects the underlying data structure in which it is stored. In particular, we consider the case when the underlying data structure is ... more >>>

We study the $\leadingones$ game, a Mastermind-type guessing game first
regarded as a test case in the complexity theory of randomized search
heuristics. The first player, Carole, secretly chooses a string $z \in \{0,1\}^n$ and a
permutation $\pi$ of $[n]$.
The goal of the second player, Paul, is to ... more >>>