We develop an eductive algorithm for the efficient implementation of Multidimensional Lucid, which includes dimensions as first-class values. By focusing on simple multi-dimensional expressions, we develop a series of operational semantics, ultimately leading to an algorithm that should lead to efficient implementations of Lucid for a variety of physical architectures.

Motor practice in lucid dreams is a form of mental rehearsal where the dreamer can consciously rehearse motor skills in the dream state while being physically asleep. A previous pilot study showed that practice in lucid dreams can improve subsequent performance. This study aimed to replicate those findings with a different task (finger-tapping) and compare the effectiveness of lucid dream pract...

In the recent actuarial literature, several proofs have been given for the fact that if a random vector (X1,X2, . . . ,Xn) with given marginals has a comonotonic joint distribution, the sum X1 +X2 + · · · +Xn is the largest possible in convex order. In this note we give a lucid proof of this fact, based on a geometric interpretation of the support of the comonotonic distribution.

Monads are a concept of category theory which can be used to structure functional programs or even define nonstandard interpretations of the λ-calculus. These nonstandard functional languages share many of Lucid’s unusual features, such as the distinction between synchronic and general functions. In fact Lucid is exactly one of these languages, determined by a simple stream monad. We therefore ...

for the first time in the history of logic, abd al razzaq al-jili (d. 570/1174), in the treatise al-lame fi al-shakl al-rabe, dealt with the modal syllogisms of the fourth figure. previous to him, dinha, the priest, and ibn salah al-hamadani had discussed the non-modal moods of the fourth figure. jili’s treatise deals only with simple modalities and ignores the complex ones. his pupil, fakhr al...

AI systems can create, propagate, support, and automate bias in decision-making processes. To mitigate biased decisions, we both need to understand the origin of define what it means for an algorithm make fair decisions. Most group fairness notions assess a model's equality outcome by computing statistical metrics on outputs. We argue that these output encounter intrinsic obstacles present comp...

the existence is a categorical concept according to kant’s philosophy. kant, going to be a subjectivist philosopher, negates the existence as a perfection and concludes the separation between the mind and extra-mental world. but the externality is not an origin which we deny it easily, even if it is faced with multiple problems such as the issue of simplicity and multiplicity and also being his...