Alternating transition systems are a general model for composite systems which allows the study of collaborative as well as adversarial relationships between individual system components. Unlike in labeled transition systems, where each transition corresponds to a possible step of the system (which may involve some or all components), in alternating transition systems, each transition correspon...

Since 1998, a great deal of progress has been made towards determining and understanding the molecular structures of amyloid fibrils, including fibrils formed by the β-amyloid peptide that is associated with Alzheimer’s disease. Much of this progress has resulted from solid state nuclear magnetic resonance (NMR) measurements, which provide experimental constraints on molecular conformations and...

Model checking is a method for the veri cation of systems with respect to their speci cations. Symbolic model-checking, which enables the veri cation of large systems, proceeds by calculating xed-point expressions over the system's set of states. The -calculus is a branching-time temporal logic with xed-point operators. As such, it is a convenient logic for symbolic modelchecking tools. In part...

An open system can be modeled as a two-player game between the system and its environment. At each round of the game, player 1 (the system) and player 2 (the environment) independently and simultaneously choose moves, and the two choices determine the next state of the game. Properties of open systems can be modeled as objectives of these two-player games. For the basic objective of reachabilit...

We develop a new hierarchical reconstruction (HR) method [17, 28] for limiting solutions of the discontinuous Galerkin and finite volume methods up to fourth order of accuracy without local characteristic decomposition for solving hyperbolic nonlinear conservation laws on triangular meshes. The new HR utilizes a set of point values when evaluating polynomials and remainders on neighboring cells...

BACKGROUND Gulf War Illness (GWI) is a multisystem disorder that has affected a substantial number of veterans who served in the 1990-91 Gulf War. The brain is prominently affected, as manifested by the presence of neurological, cognitive and mood symptoms. We reported previously on the protective role of six Human Leukocyte Antigen (HLA) alleles in GWI (Georgopoulos et al., 2016) and their ass...

In formal design veri cation, successful model checking is typically preceded by a laborious manual process of constructing design abstractions. We present a methodology for partially| and in some cases, fully|bypassing the abstraction process. For this purpose, we provide to the designer abstraction operators which, if used judiciously in the description of a design, structure the correspondin...