We formulate principles of induction and recursion for a variant of lambda calculus with bound names where alpha-conversion is based upon name swapping as in nominal abstract syntax. The principles ...

Calculus, the mathematical study of continuous change, stands as a cornerstone of advanced mathematics and its applications. As you delve into this powerful branch of mathematics, you’ll discover a ...

As an exercise in learning the Lambek Calculus formalism introduced by Lambek in "The Mathematics of Sentence Structure" (1958), we are aiming to develop the equivalent of a grammar induction ...

ABSTRACT: Fractional order calculus can represent systems with high-order dynamics and complex nonlinear phenomena using few coefficients, since the arbitrary order of the derivatives provides an ...