Construct · 2 fields · 2 citations
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In software engineering, a program slice is the set of statements in a program that can affect the value of a chosen variable at a chosen point, extracted by following control and data dependencies backward from that point. Weiser's 1984 Program slicing formalised the idea as a decomposition that isolates just the computation relevant to one result, which is why slicing underpins debugging, testing, and program comprehension. The referent is a dependency-closed subprogram defined by a slicing criterion rather than by geometry or ballistics, unrelated to a radiological cross-section, a sports stroke, or a categorical construction.[1]
In category theory a slice category (or over-category) C/A has as its objects the morphisms of C that point into a fixed object A, with commuting triangles as its morphisms; the dual under-category collects the morphisms out of A. Mac Lane's Categories for the working mathematician develops these alongside comma categories as standard constructions. The referent is a category built relative to a fixed object, a formal structure unrelated to a tennis stroke, a golf shot, an imaging plane, or a reduced program despite the shared image of taking a slice.[2]
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