We prove that, if V is an effectively given commutative valuation domain such that its value group is dense and archimedean, then the theory of all V -modules is decidable.
Gennadi Puninski, Vera Puninskaya, Carlo Toffalori
In Bishop-style constructive algebra it is known that if a module over a commutative ring has a Noetherian basis function, then it is Noetherian. Using countable choice we prove th...
re a popular form of abstract computation. Being more general than monads, they are more broadly applicable, and in parare a good abstraction for signal processing and dataflow co...
In this paper we initiate the study of discrete random variables over domains. Our work is inspired by work of Daniele Varacca, who devised indexed valuations as models of probabi...