We study a variation of the vertex cover problem where it is required that the graph induced by the vertex cover is connected. We prove that this problem is polynomial in chordal g...
We show1 that non-deterministic time NTIME(n) is not contained in deterministic time n 2and polylogarithmic space, for any > 0. This implies that (infinitely often) satisfiabi...
We prove old and new results on the complexity of computing the dimension of algebraic varieties. In particular, we show that this problem is NP-complete in the Blum-Shub-Smale mo...
We introduce the notion of associative one-way functions and prove that they exist if and only if P 6= NP. As evidence of their utility, we present two novel protocols that apply ...
The present paper motivates the study of mind change complexity for learning minimal models of length-bounded logic programs. It establishes ordinal mind change complexity bounds ...