This note connects two topics of Complexity Theory: The
topic of succinct circuit representations initiated by
Galperin and Wigderson and the topic of leaf languages
initiated by Bovet, Crescenzi, and Silvestri. It will be
shown for any language that its succinct version is
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Deciding whether a vertex in a graph is reachable from another
vertex has been studied intensively in complexity theory and is
well understood. For common types of graphs like directed graphs,
undirected graphs, dags or trees it takes a (possibly
nondeterministic) logspace machine to decide the reachability
problem, and ... more >>>

Consider graphs of n nodes and use a Bloom filter of length 2 log3 n bits. An edge between nodes i and j, with i < j, turns on a certain bit of the Bloom filter according to a hash function on i and j. Pick a set of log ... more >>>