AbstractWe provide a computer-verified exact monadic functional implementation of the Riemann integral in type theory. Together with previous work by O’Connor, this may be seen as the beginning of the realization of Bishop’s vision to use constructive mathematics as a programming language for exact analysis
The first part of the paper introduces the varieties of modern constructive mathematics, concentrati...
AbstractThis is a survey article on the use of coalgebras in functional programming and type theory....
Abstract: Taking as a starting point (a modification of) a weak theory of arithmetic of Jan Johannse...
We provide a computer verified exact monadic functional implementation of the Riemann integral in ty...
AbstractWe provide a computer-verified exact monadic functional implementation of the Riemann integr...
Contains fulltext : 84382.pdf (preprint version ) (Open Access) ...
Monadic programming is an essential component in the toolbox of functional programmers. For the pure...
AbstractThe structure of monadic functional programs allows the integration of many different featur...
Some constructive real analysis is developed in univalent type theory (UTT). We develop various typ...
We describe experiments in teaching fundamental informatics notions around mathematical structures f...
Brouwer’s continuity principle states that all functions from infinite sequences of naturals to natu...
The structure of monadic functional programs allows the integration of many different features by ju...
This paper presents a monadic approach to incremental computation, suitable for purely functional la...
This tutorial will illustrate how to use the Coq proof assistant to implement effective and provably...
AbstractWe develop an algorithm for exact real integration over a class of self-similar spaces and m...
The first part of the paper introduces the varieties of modern constructive mathematics, concentrati...
AbstractThis is a survey article on the use of coalgebras in functional programming and type theory....
Abstract: Taking as a starting point (a modification of) a weak theory of arithmetic of Jan Johannse...
We provide a computer verified exact monadic functional implementation of the Riemann integral in ty...
AbstractWe provide a computer-verified exact monadic functional implementation of the Riemann integr...
Contains fulltext : 84382.pdf (preprint version ) (Open Access) ...
Monadic programming is an essential component in the toolbox of functional programmers. For the pure...
AbstractThe structure of monadic functional programs allows the integration of many different featur...
Some constructive real analysis is developed in univalent type theory (UTT). We develop various typ...
We describe experiments in teaching fundamental informatics notions around mathematical structures f...
Brouwer’s continuity principle states that all functions from infinite sequences of naturals to natu...
The structure of monadic functional programs allows the integration of many different features by ju...
This paper presents a monadic approach to incremental computation, suitable for purely functional la...
This tutorial will illustrate how to use the Coq proof assistant to implement effective and provably...
AbstractWe develop an algorithm for exact real integration over a class of self-similar spaces and m...
The first part of the paper introduces the varieties of modern constructive mathematics, concentrati...
AbstractThis is a survey article on the use of coalgebras in functional programming and type theory....
Abstract: Taking as a starting point (a modification of) a weak theory of arithmetic of Jan Johannse...
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