Typed intermediate languages for shape analysis

Abstract

We introduce S2, a typed intermediate language for vectors, based on a 2-level type-theory, which distinguishes between compile-time and run-time. The paper shows how S2 can be used to extract useful information from programs written in the Nested Sequence Calculus NSC, an idealized high-level parallel calculus for nested sequences. We study two translations from NSC to S2. The most interesting shows that shape analysis (in the sense of Jay) can be handled at compile-time.