This paper proposes a new theory of quantitative specifications. It generalizes the notions of step-wise refinement and compositional design operations from the Boolean to an arbitrary quantitative setting. It is shown that this general approach permits to recast many existing problems which arise in system design.
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Bauer Sebastian, S., Fahrenberg, U., Legay, A., & Thrane, C. (2012). General Quantitative Specification Theories with Modalities. Computer Science – Theory and Applications Lecture Notes in Computer Science. CSR. https://doi.org/10.1007/978-3-642-30642-6_3