We show methods to extract Craig-Lyndon interpolants and access interpolants from clausal first-order tableaux as produced by automated first-order theorem provers based on model elimination, the connection method, the hyper tableau calculus and instance-based methods in general. Smullyan introduced an elegant method for interpolant extraction from “non-clausal” first-order tableaux. We transfe...

When an approximant is accurate on interval, it only natural to try extend multi-dimensional domains. In the present article we make use of fact that linear rational barycentric interpolants converge rapidly toward analytic and several-times differentiable functions interpolate them two-dimensional starlike domains parametrized in polar coordinates. radial direction, engage at conformally shift...