Software systems

MLIR has recently introduced support for declaratively specifying and controlling compiler transformations via the transform dialect. It allows one to request compiler transformations using compiler IR itself, which can be embedded into the original IR that is being transformed (similarly to pragmas) or supplied separately (similarly to scheduling languages). This tutorial presents the concepts...

The performance of machine learning systems heavily relies on code generators tailored to tensor computations. We propose an approach to the design and implementation of such code generators leveraging the natural structure of tensor algebra and illustrating the progressive lowering of domain-specific abstractions in the MLIR infrastructure.

Identifying invariants in programs is an important program analysis task with applications towards program understanding, vulnerability analysis, and formal verification. Existing tools for identifying invariants rely on dynamic analysis, requiring traces collected from multiple executions in order to produce reliable invariants. We study the application of large language models to invariant...

We present a novel programming language design that attempts to combine the clarity and safety of high-level functional languages with the efficiency and parallelism of low-level numerical languages. We treat arrays as eagerly-memoized functions on typed index sets, allowing abstract function manipulations, such as currying, to work on arrays. In contrast to composing primitive bulk-array...