In the late 80's Blum, Luby, Rubinfeld, Kannan et al. pioneered
the theory of self-testing as an alternative way of dealing with
the problem of software reliability.
Over the last decade this theory played a crucial role in
the construction of probabilistically checkable proofs and
the ... more >>>

The paper presents a simple construction of polynomial length universal
traversal sequences for cycles. These universal traversal sequences are
log-space (even $NC^1$) constructible and are of length $O(n^{4.03})$. Our
result improves the previously known upper-bound $O(n^{4.76})$ for
log-space constructible universal traversal sequences for cycles.

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We survey recent algorithms for the propositional
satisfiability problem, in particular algorithms
that have the best current worst-case upper bounds
on their complexity. We also discuss some related
issues: the derandomization of the algorithm of
Paturi, Pudlak, Saks and Zane, the Valiant-Vazirani
Lemma, and random walk ... more >>>