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We show the existence of a trivial, strongly minimal (and thus uncountably categorical) theory for which the prime model is computable and each of the other countable models computes 0 00. This res...
Borel complexity of complete, first order theories(status report).
In this paper we introduce a new technique for proving streaming lower bounds (and one-way communication lower bounds), by reductions from a problem called the Boolean Hidden Hypermatching problem (BH...
Abstract: The notion of weak truth-table reducibility plays an important role in recursion theory. In this paper, we introduce an elaboration of this notion, where a computable bound on the use functi...
The determinantal complexity of a polynomial f (x1, x2, . . . , xn) is the minimum m such that f = detm(L(x1, x2, . . . , xn)), where L(x1, x2, . . . , xn) is a matrix whose entries are affine forms i...
In their position paper entitled "Towards a new, complexity science of learning and education", Jorg et al. (2007) argue that educational research is in crisis. In their opinion, the transdisciplinary...
We further our algorithmic and structural understanding of Nash equilibria.
We advance significantly beyond the recent progress on the algorithmic complexity of Nash equilibria by solving two major open problems in the approximation of Nash equilibria and in the smoothed anal...
We prove that the problem of finding a Nash equilibrium in a two-player game is PPAD-complete.

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