Abstract. We study the complexity of the isomorphism and automorphism problems for finite rings. We show that both integer factorization and graph isomorphism reduce to the problem...
We improve upon indirect diagonalization arguments for lower bounds on explicit problems within the polynomial hierarchy. Our contributions are summarized as follows.
Variants of Kannan's Theorem are given where the circuits of the original theorem are replaced by arbitrary recursively presentable classes of languages that use advice string...
The sum of a coloring is the sum of the colors assigned to the vertices (assuming that the colors are positive integers). The sum (G) of graph G is the smallest sum that can be ach...
Given a k-uniform hypergraph, the Maximum k-Set Packing problem is to find the maximum disjoint set of edges. We prove that this problem cannot be efficiently approximated to with...
We show that any 1-round 2-server Private Information Retrieval Protocol where the answers are 1-bit long must ask questions that are at least n - 2 bits long, which is nearly equa...
The CGiS programming language is designed to open up the parallel performance possibilities of graphics processing units (GPUs) to general purpose programmers. This tool demonstrat...
We propose a new language concept called "L-closures" for a running program to legitimately inspect/modify the contents of its execution stack. L-closures are lightweight...
We show that classic PRE is also a maximum flow problem, thereby revealing the missing link between classic and speculative PRE, and more importantly, establishing a common high-le...