Fast changing, increasingly complex, and diverse computing platforms pose central
problems in scientific computing: How to achieve, with reasonable effort, portable optimal …

This paper considers the correctness of domain-specific compilers for tensor programming
languages through the study of Halide, a popular representative. It describes a translation …

Designers often apply manual or semi-automatic loop and data transformations on array-
and loop-intensive programs to improve performance. It is crucial that such transformations …

High-level compiler transformations, especially loop transformations, are widely recognized
as critical optimizations to restructure programs to improve data locality and expose …

Proving equivalence of programs has several important applications, including algorithm
recognition, regression checking, compiler optimization verification and validation, and …

We target the problem of automatically synthesizing proofs of semantic equivalence
between two programs made of sequences of statements. We represent programs using …

Loop transformation techniques along with arithmetic transformations are applied
extensively on array and loop intensive behaviors in design of area/energy efficient systems …

The development of energy and performance-efficient embedded software increasingly
relies on the application of complex transformations on critical parts of the source code …

Typically, a combination of manual and automated transformations is applied when
algorithms for digital signal processing are adapted for energy and performance-efficient …

The set of paths in a graph is an important concept with many applications in system
analysis. In the context of integer tuple relations, which can be used to represent possibly …