Abstract. This paper extends the logical approach to computable analysis via Σ–definability to higher type continuous data such as functionals and operators. We employ definab...
We study, from a classical point of view, how the truth of a statement about higher type functionals depends on the underlying model. The models considered are the classical set-t...
In many decision making problems, a number of independent attributes or criteria are often used to individually rate an alternative from an agent’s local perspective and then th...
We address a problem of updating XML documents having their XML schema described by a Document Type Definition (DTD) without breaking their validity. We present a way how to expre...
We study a new Hermite type interpolating operator arising in a semi-lagrangian scheme for solving the Vlasov equation. Numerical results on uniform and adaptive grid are shown and...