We derive an expression for the dimension of the moduli space of SU(n) kinstantons on an r-centred ALE metric in terms of the triple (n, k, r). It is shown that if k mod r > n then no k-instantons exist. This implies that the corresponding Higgs branch of vacua representing marginally bound Dp-D(p+4) branes on an ALE background is zero dimensional.

One of Semantic Web strengths is the ability to address incomplete knowledge. However, at present, it cannot handle incomplete knowledge directly. Also, it cannot handle non-monotonic reasoning. In this paper, we extend ALC− Defeasible Description Logic with existential quantifier, i.e., ALE Defeasible Description Logic. Also, we modify some parts of the logic, resulting in an increasing effici...

Our goal is to formally verify work begun by Gollamudi and Chong, who introduce ImpE, a security-typed calculus that models low-level imperative programs that can directly use enclaves (a sort of private memory region), and provide a translation from a higher-level, enclave-agnostic calculus, ImpS, to ImpE [1]. Our project naturally falls into two parts: proving that every well-typed program in...

In this paper, we develop and analyze an arbitrary Lagrangian-Eulerian discontinuous Galerkin (ALE-DG) method with a time-dependent approximation space for one dimensional conservation laws, which satisfies the geometric conservation law. For the semi-discrete ALE-DG method, when applied to nonlinear scalar conservation laws, a cell entropy inequality, L2 stability and error estimates are prove...