Match-action tables are the core abstraction underlying network packet-processing systems, from fixed-function switches to eBPF-based software dataplanes. However, their concrete syntax and semantics vary widely across programming environments, reflecting differences in hardware generations, engineering practices, and vendor design choices. This syntactic and semantic variation renders portability of match-action tables across environments a persistent challenge. This paper presents MatchBox, a system for translating match-action tables across heterogeneous environments. At its core is the Match Algebra , a compositional formalism for concisely and declaratively expressing transformations on match-action tables. To ensure unambiguous semantics, MatchBox introduces a static type system based on guarded functional dependencies (GFDs) that guarantees that every well-typed Match Algebra expression denotes a well-defined function. From such specifications, the MatchBox compiler efficiently computes compact target tables that are semantically faithful. Across case studies in programmable switches, multi-cloud firewalls, and eBPF systems, MatchBox enables concise, declarative portability specifications and realizes them as compact target tables.

Predicate pushdown is a long-standing performance optimization that filters data as early as possible in a computational workflow. In modern data pipelines, this transformation is especially important because much of the computation occurs inside user-defined functions (UDFs) written in general-purpose languages such as Python and Scala. These UDFs capture rich domain logic and complex aggregations and are among the most expensive operations in a pipeline. Moving filters ahead of such UDFs can yield substantial performance gains, but doing so requires semantic reasoning. This paper introduces a general semantic foundation for predicate pushdown over stateful fold-based computations. We view pushdown as a correspondence between two programs that process different subsets of input data, with correctness witnessed by a bisimulation invariant relating their internal states. Building on this foundation, we develop a sound and relatively complete framework for verification, alongside a synthesis algorithm that automatically constructs optimal pushdown decompositions by finding the strongest admissible pre-filters and weakest residual post-filters. We implement this approach in a tool called Pusharoo and evaluate it on 150 real-world pandas and Spark data-processing pipelines. Our evaluation shows that Pusharoo is significantly more expressive than prior work, producing optimal pushdown transformations with a median synthesis time of 1.6 seconds per benchmark. Furthermore, our experiments demonstrate that the discovered pushdown optimizations speed up end-to-end execution by an average of 2.4× and up to two orders of magnitude.

This paper develops a novel minimal-state operational semantics for higher-order functional languages that uses only the call stack and a source program point or a lexical level as the complete state information: there is no environment, no substitution, no continuation, etc. We prove this form of operational semantics equivalent to standard presentations. We then show how this approach can open the door to potential new applications: we define a program analysis as a direct finitization of this operational semantics. The program analysis that naturally emerges has a number of novel and interesting properties compared to standard program analyses for higher-order programs: for example, it can infer recurrences and does not need value widening. We both give a formal definition of the analysis and describe our current implementation.