Abstract. Set theory is the common language of mathematics. Therefore, set theory plays an important r^ole in many important applications of automated deduction. In this paper, we ...
Abstract. Using a recent idea of Gaudry and exploiting rational representations of algebraic tori, we present an index calculus type algorithm for solving the discrete logarithm pr...
This paper describes a method for risk analysis based on the approach used in CRAMM, but instead of using discrete measures for threats and vulnerabilities and lookup tables to de...
There is a notable interest in extending probabilistic generative modeling principles to accommodate for more complex structured data types. In this paper we develop a generative ...
In this paper we present the derivation details, logic, and motivation for the three loop calculus introduced in Chertkov and Chernyak (2006 Phys. Rev. E 73 065102(R)). Generating ...