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While Abstract State Machines (ASMs) provide a general purpose development method, it is advantageous to provide extensions that ease their use in particular application areas. This paper focuses on such extensions for the benefit of a "refinement calculus" in the area of data warehouses and on-line analytical processing (OLAP).We show that providing typed ASMs helps to exploit the existing logical formalisms used in data-intensive areas to define a ground model and refinement rules. We also note that the extensions do not increase the expressiveness of ASMs, as each typed ASM will be equivalent to an "ordinary" one.