I've been interested in the physical realization of boundary logic computation. Boundary math lends itself to several novel hardware architectures, described below.
The primary value of boundary math for hardware design is in suggesting new architectures that are easier to layout, route and fabricate.
Computational Architectures is an overview article. The other three pieces are drafts of ideas for computing hardware, very far from hot silicon. Some diligence concerns are addressed at the very bottom of the page.
Novel Architectural Ideas
DISTINCTION NETWORKS A fine-grained parallel implementation of logical deduction and combinational circuits. Distinction networks have been simulated on an asynchronous parallel machine.
OCCLUSION ARRAY An array based computational engine with interesting performance and pedagogical properties.
COMPUTATIONAL MESH A naive evolution of the Occlusion Array.