Abstract interpretation has been widely used for verifying properties of computer systems. Here, we present a way to extend this framework to the case of probabilistic systems. The probabilistic abstraction framework that we propose allows us to systematically lift any classical analysis or verification method to the probabilistic setting by separating in the program semantics the probabilistic...

Mathematical morphology offers popular image processing tools, successfully used for binary and grayscale images. Recently, its extension to color images has become of interest and several approaches were proposed. Due to various issues arising from the vectorial nature of the data, none of them imposed as a generally valid solution. We propose a probabilistic pseudo-morphological approach, by ...

–This paper presents the main features and organization of STAADPRO, a computer program that has been developed for the static and seismic stability evaluations of concrete gravity dams. STAADPRO is based on the gravity method using rigid body equilibrium and beam theory to perform stress analyses, compute crack lengths, and safety factors. Seismic analyses could be done using either the pseudo...

progressive collapse is a chain reaction of failures propagating throughout a portion of the structure disproportionate to the original local failure occurring when a sudden loss of a critical load‐bearing element initiates a structural element failure, eventually resulting in partial or full collapse of the structure. both general services administration (gsa) and united states department of d...

The behavior of earth dams has particular complexities against dynamic forces and its assessment requiresdetailed and scientific analysis. The Farrokhi earth dam is a heterogeneous type with vertical clay core, built 150 km away from Birjand and 41 km away from Qaen on the Farrokhi River. There are concernsregarding the stability of this dam in the event of a future severe earthquake especially...

Though probabilistic model checkers such as PRISM [10] have been built to analyze a variety of probabilistic models such as discrete and continuous Markov chains, they primarily check for conformance of satisfaction of probabilistic temporal logic formulas (such as PCTL or PLTL) by these models, which limits their applications to the formal methods community, and in analyzing system reliability...

This short paper accompanies the keynote talk at RTSOPS 2017. It discusses the different meanings attached to probabilistic Worst-Case Execution Time (pWCET) distributions derived from Static Probabilistic Timing Analysis (SPTA) and MeasurementBased Probabilistic Timing Analysis (MBPTA). These different meanings relate to aleatoric variability (randomness in the systems and its environment) and...

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