There are two long outstanding constructivity problems concerning real-valued functions on the closed unit interval: (i) is every function continuous? (ii) is every continuous function uniformly continuous? In this paper the method of reliefs is introduced to aid the study of th…
A general, constructive measure theory is given in terms of Daniell integrals as part of the systematic development of the constructive component of analysis. Integration spaces are first defined in terms of a linear function on the space of integrable functions on a basic set. …
The revised and updated Fifth Edition features an all-new chapter on genetic algorithms and genetic programming, including approximate solutions to the traveling salesperson problem, an algorithm for an artificial ant that navigates along a trail of food, and an application to f…