This paper presents a new Lambda-Boolean reduction machine for Lambda-Boolean and Lambda-Beta Boolean reductions in the context of Lambda Calculus and introduces the role of Church–Rosser properties and functional computation model in symbolic and algebraic computation with induction. The algorithm which improved for Lambda-Beta Boolean reduction is simulated by the efficient logical programmin...

This paper introduces TILC: the interactive lambda-calculus tracer. TILC aims to be a friendly user graphical application that helps teaching/studying the main basic concepts of pure untyped lambda-calculus. This is achieved by allowing users to graphically interact with a sort of parse-tree of the lambda-terms and automatically reproducing these interactions in the lambda-term. This graphical ...

Starting with the idea of reflexive objects in Selinger’s control categories, we define three different denotational models of Parigot’s untyped lambda-mu calculus. The first one is built from an intersection types system for the lambda-mu calculus leading to a generalization of Engeler’s model of the untyped lambda calculus. The second model introduces correlation spaces (coming from Girard’s ...

The development of a green and facile strategy for synthesizing high stable gold nanoparticles (AuNPs) is still highly challenging. Additionally, the main problems regarding AuNPs based colorimetric sensors are their poor selectivity and low sensitivity, as well their tendency to aggregate during their synthesis and sensing process. Herein, we present an in-situ reduction strategy to synthesize...

The genetic organization of the kappa and lambda light chain loci permits multiple, successive rearrangement attempts at each allele. Multiple rearrangements allow autoreactive B cells to escape clonal deletion by editing their surface receptors. Editing may also facilitate efficient B cell production by salvaging cells with nonproductive light chain (L chain) rearrangements. To study receptor ...

We propose numerical methods to evaluate the upper critical dimension d(c) of random percolation clusters in Erdös-Rényi networks and in scale-free networks with degree distribution P(k) approximately k(-lambda), where k is the degree of a node and lambda is the broadness of the degree distribution. Our results support the theoretical prediction, d(c) = 2(lambda - 1)(lambda - 3) for scale-free ...

In this paper, we discuss a new generalization of univariate skew-Cauchy distribution with two parameters, we denoted this by GSC(&lambda1, &lambda2), that it has more flexible than the skew-Cauchy distribution (denoted by SC(&lambda)), introduced by Behboodian et al. (2006). Furthermore, we establish some useful properties of this distribution and by two numerical example, show that GSC(&lambd...

‎Let $mathcal{F}$ be an field of zero characteristic and $N_{infty‎}(‎mathcal{F})$ be the algebra of infinite strictly upper triangular‎ ‎matrices with entries in $mathcal{F}$‎, ‎and $f:N_{infty}(mathcal{F}‎)rightarrow N_{infty}(mathcal{F})$ be a non-additive Lie centralizer of $‎N_{infty }(mathcal{F})$; that is‎, ‎a map satisfying that $f([X,Y])=[f(X),Y]$‎ ‎for all $X,Yin N_{infty}(mathcal{F})...

We report on a search for non-Newtonian forces that couple to mass, with characteristic scale of $\ensuremath{\sim}10\text{ }\text{ }\ensuremath{\mu}\mathrm{m}$, using an optically levitated microsphere as precision force sensor. A silica trapped in upward-propagating, single-beam, optical tweezer is utilized probe interactions sourced from nanofabricated attractor mass density modulation broug...