This paper presents a pre xed tableaux calculus for Proposi tional Dynamic Logic with Converse based on a combination of di erent techniques such as pre xed tableaux for modal logics and model checkers for mu calculus We prove the correctness and completeness of the calcu lus and illustrate its features We also discuss the transformation of the tableaux method naively NEXPTIME into an EXPTIME a...

We show that non orthogonal wavelets can characterize the frac tional Brownian motion fBm that is in white noise We demonstrate the point that discriminating the parameter of a fBm from that of noise is equivalent to discriminating the composite singularity formed by superimposing a peak singularity upon a Dirac singularity We characterize the composite singularity by formalizing this problem a...

care professionals to behold. Nevertheless, the practice continues: one survey of critical care physicians found that 13% preferred extubation as a means of with¬ drawing ventilatory assistance.1 Reducing the frac¬ tional inspiratory oxygen (FI02) to room air (21%) and reducing the respiratory rate to zero over a period of minutes represents a more reasonable approach to withdrawing ventilatory...

Matrix metalloproteinases (MMPs) are widely hypothesized to regulate signaling events through processing of extracellular matrix (ECM) molecules. We previously demonstrated that membrane-associated Mmp2 is expressed in exit glia and contributes to motor axon targeting. To identify possible substrates, we undertook a yeast interaction screen for Mmp2-binding proteins and identified the novel ECM...

The use of lambda calculus in richer settings, possibly involving parallelism, is examined in terms of its eeect on the equivalence between lambda terms. We concentrate here on Abramsky's lazy lambda calculus and we follow two directions. First, the lambda calculus is studied within a process calculus by examining the equivalence $ induced by Milner's encoding into the-calculus. We give exact o...

A novel and eective method based on Haar wavelets and Block Pulse Functions(BPFs) is proposed to solve nonlinear Fredholm integro-dierential equations of fractional order.The operational matrix of Haar wavelets via BPFs is derived and together with Haar waveletoperational matrix of fractional integration are used to transform the mentioned equation to asystem of algebraic equations. Our new met...

Some temporal query languages work directly on a timestamp representation of the temporal database, while others provide a more implicit access to the ow of time by means of temporal connectives. We study the diierences in expressive power between these two approaches. We rst consider rst-order logic (i.e., the relational calculus). We show that rst-order future temporal logic is strictly less ...

Some temporal query languages work directly on a timestamp repre sentation of the temporal database while others provide a more implicit access to the ow of time by means of temporal connectives We study the di erences in expressive power between these two approaches We rst consider rst order logic i e the relational calculus We show that rst order future temporal logic is strictly less powerfu...

The Plurality problem - introduced by Aigner \cite{A2004} - has many variants. In this article we deal with the following version: suppose we are given $n$ balls, each of them colored by one of three colors. A \textit{plurality ball} is one such that its color class is strictly larger than any other color class. Questioner wants to find a plurality ball as soon as possible or state there is no,...

Brownian motion with drift is constructed on the real line as the almost sure limit of a sequence of random walks. Central to the construction is an embedded varying environment branching process, which encodes the sample path behaviour of the limiting diiusion. We show how a single small time bound on the normed limit of the branching process leads to diierent small and large time bounds on th...