It has been shown that bounded model checking using a SAT solver can solve many verification problems that would cause BDD based symbolic model checking engines to explode. However, no single algorithmic solution has proven to be totally superior in resolving all types of model checking problems. We present an optimized bounded model checker based on BDDs and describe the advantages and drawbac...

Let G be a strict RS-set (resp. an RS-set) in X and let F be a bounded (resp. totally bounded) subset of X satisfying rG(F )> rX(F ), where rG(F ) is the restricted Chebyshev radius of F with respect to G. It is shown that the restricted Chebyshev center of F with respect to G is strongly unique in the case when X is a real Banach space, and that, under some additional convexity assumptions, th...

Abstract We prove that under the dominant energy condition any non-degenerate smooth compact totally geodesic horizon admits a tangent vector field of constant non-zero surface gravity. This result generalizes previous work by Isenberg and Moncrief, Bustamante Reiris to non-vacuum case, vacuum case being given largely independent proof. Moreover, we such achronal is actually Cauchy bounded on o...

Let $R$ be a commutative Noetherian ring. We prove that  over a local ring $R$ every finitely generated $R$-module $M$ of finite Gorenstein projective dimension has a Gorenstein projective cover$varphi:C rightarrow M$ such that $C$ is finitely generated and the projective dimension of $Kervarphi$ is finite and $varphi$ is surjective.

SOA has influenced business process modeling and management. Recent business process models have elevated data representation to the same level as control flows, for example, the artifact-centric business process models allow the life cycle properties of artifacts (data objects) to be specified and analyzed. In this paper, we develop a specification language ABSL based on computation tree logic...

For a totally positive definite quadratic form over the ring of integers real number field $K$, we show that there are only finitely many extensions $K$ fixed degree which is universal (namely, those have short basis in suitable sense). Along way give general construction rank bounded by $D(\log D)^{d-1}$, where $d$ $\mathbb Q$ and $D$ its discriminant. Furthermore, for any prove (weak) Kitaoka...

In this article we study holomorphic isometries of the Poincaré disk into bounded symmetric domains. Earlier we solved the problem of analytic continuation of germs of holomorphic maps between bounded domains which are isometries up to normalizing constants with respect to the Bergman metric, showing in particular that the graph V0 of any germ of holomorphic isometry of the Poincaré disk ∆ into...

Partial frames provide a rich context in which to do pointfree structured and unstructured topology. A small collection of axioms of an elementary nature allows one to do much traditional pointfree topology, both on the level of frames or locales, and that of uniform or metric frames. These axioms are sufficiently general to include as examples bounded distributive...

In this article we study holomorphic isometries of the Poincaré disk into bounded symmetric domains. Earlier we solved the problem of analytic continuation of germs of holomorphic maps between bounded domains which are isometries up to normalizing constants with respect to the Bergman metric, showing in particular that the graph V0 of any germ of holomorphic isometry of the Poincaré disk ∆ into...