Machine Learning systems are often distinguished according to the kind of representation they use, which can be either propositional or first-order logic. The framework working wi...
Teresa Maria Altomare Basile, Floriana Esposito, N...
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...
Many artificial intelligence techniques rely on the notion ate" as an abstraction of the actual state of the nd an "operator" as an abstraction of the actions that ...
We present the different constructive definitions of real number that can be found in the literature. Using domain theory we analyse the notion of computability that is substant...
We show that dependent sums and dependent products of continuous parametrizations on domains with dense, codense, and natural totalities agree with dependent sums and dependent pro...