Title: A Universal Calculus for Stream Processing Languages

Authors: Robert Soulé, Martin Hirzel, Robert Grimm, Buğra Gedik, Henrique
Andrade, Vibhore Kumar, and Kun-Lung Wu.

Stream processing applications such as algorithmic trading, MPEG processing,
web content analysis are ubiquitous and essential to business and
Language designers have developed numerous domain-specific languages that are
both tailored to the needs of their applications, and optimized for performance
on their particular target platforms. Unfortunately, the goals of generality
performance are frequently at odds, and prior work on the formal semantics of
stream processing languages does not capture the details necessary for
about implementations.  This paper presents Brooklet, a core calculus for
processing that allows us to reason about how to map languages to platforms and
how to optimize stream programs.  We translate from three representative
languages, CQL, StreamIt, and Sawzall, to Brooklet, and show that the
translations are correct.  We formalize three popular and vital optimizations,
data-parallel computation, operator fusion, and operator re-ordering, and show
under which conditions they are correct. Language designers can use Brooklet to
specify exactly how new features or languages behave.  Language implementors
use Brooklet to show exactly under which circumstances new optimizations are
correct.  In ongoing work, we are developing an intermediate language for
streaming that is based on Brooklet.  We are implementing our intermediate
language on System S, IBM's high-performance streaming middleware.