  State-of-the-art Datalog engines include expressive features such as ADTs
(structured heap values), stratified aggregation and negation, various
primitive operations, and the opportunity for further extension using FFIs.
Current parallelization approaches for state-of-art Datalogs target
shared-memory locking data-structures using conventional multi-threading, or
use the map-reduce model for distributed computing. Furthermore, current
state-of-art approaches cannot scale to formal systems which pervasively
manipulate structured data due to their lack of indexing for structured data
stored in the heap.
  In this paper, we describe a new approach to data-parallel structured
deduction that involves a key semantic extension of Datalog to permit
first-class facts and higher-order relations via defunctionalization, an
implementation approach that enables parallelism uniformly both across sets of
disjoint facts and over individual facts with nested structure. We detail a
core language, $DL_s$, whose key invariant (subfact closure) ensures that each
subfact is materialized as a top-class fact. We extend $DL_s$ to Slog, a
fully-featured language whose forms facilitate leveraging subfact closure to
rapidly implement expressive, high-performance formal systems. We demonstrate
Slog by building a family of control-flow analyses from abstract machines,
systematically, along with several implementations of classical type systems
(such as STLC and LF). We performed experiments on EC2, Azure, and ALCF's Theta
at up to 1000 threads, showing orders-of-magnitude scalability improvements
versus competing state-of-art systems.
