A system includes a provider module to serve a Software Defined Infrastructure (SDI) service request in a first language. The system includes an NSP translation module to translate the SDI requests from the first language into a service chain including a set of Network and Service Primitives (NSP), and a service space module to map each NSP onto a multidimensional vector space using a matrix. The matrix provides positions within the multidimensional vector space of vectors corresponding to any possible NSP. The service space module queries the matrix with a sequence of vectors to retrieve a further sequence of vectors by geometric operations to find a level of similarity between the vectors and the vectors of the service space, in order to predict a new NSP according to the further sequence starting from neighbor NSPs, and predict the neighbors NSPs composing the further sequence.