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The Denotational Semantics of SSA

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Static Single Assignment (SSA) form has been a dominant compiler intermediate representation for decades, yet it is often treated only informally. To support more rigorous reasoning about SSA , we present an inductive formulation of SSA that can be equipped with a type theory robust enough to validate a variety of control-flow and data-flow transformations. We then define a categorical semantics for SSA and show that our type theory is sound and complete with respect to this semantics.

This talk is part of the SANDWICH Seminar (Computer Laboratory) series.

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