We propose an analysis of numerical integration based on sampling theory, whereby the integration error caused by aliasing is suppressed by pre-filtering. We derive a pre-filter f...
The shift and reset operators, proposed by Danvy and Filinski, are powerful control primitives for capturing delimited continuations. Delimited continuation is a similar concept a...
We describe an extension of first-order logic with sequence variables and sequence functions. We define syntax, semantics and inference system for the extension so that Completen...
Krawtchouk polynomials appear in a variety of contexts, most notably as orthogonal polynomials and in coding theory via the Krawtchouk transform. We present an operator calculus fo...
Set theories are traditionally based on first-order logic. We show that in a constructive setting, basing a set theory on a dependent logic yields many benefits. To this end, we...