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The executable specification is one of the powerful tools in lightweight formal software development. VDM-SL allows the explicit and executable definition of operations that reference and update internal state through imperative statements. While the extensive executable subset of VDM-SL enables validation and testing in the specification phase, it also brings difficulties in reading and debugging as in imperative programming. In this paper, we define specification slicing for VDM-SL based on program slicing, a technique used for debugging and maintaining program source code in implementation languages. We then present and discuss its applications. The slicer for VDM-SL is implemented on ViennaTalk and can be used on browsers and debuggers describing the VDM-SL specification.