An introduction to category theory by V Sankrithi Krishnan

By V Sankrithi Krishnan

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S, erbănut, ă, and G. Ros, u Fig. 3. The K transition system for the execution of a program P computational rule. The relation ≡ associates a transition system to any term γ, which we can think of as the behavior of γ under the given K definition. Consider, for example, the initial configuration of CinK, say cfg[$PGM] (assume $IN instantiated to some arbitrary input), and some CinK program P . Then the K semantics of P is the transition system associated to the configuration term cfg[P ], depicted in Figure 3: boxes enclose the structural rearrangements via ≡ ∗ S , which appear as dashed arrows in the figure, and full arrows between boxes depict the relation ≡ C .

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Because this may not be the operation we were intending to perform. We should also then return a set (represented by juxtaposition) containing both int and float, since, based on the contents of the string, both are possible result types. Reporting Analysis Results. There are several options for reporting the results of the analysis. The most basic is to just examine the final configuration, which will have the type assignments, alias pairs, etc. inside it. We could also use the semantics to perform a final “pretty printing” step to provide the results in string form.

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