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Add `synth.dot`, an ordered 3-input Boolean logic op implementing `x xor (z or (x and y))` with per-input inversion support. Dot gates are known to be a promising IR primitive for area optimization. Add dot operation with straight forward BooleanLogicOpInterface implementations.
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synth.dot, an ordered 3-input Boolean logic op implementingx xor (z or (x and y))with per-input inversion support. Dot gates are considered to be a promising intermediate representation for area optimization,as discussed in "Three-Input Gates for Logic Synthesis" (Dewmini Sudara Marakkalage et al., TCAD 2021).
Add a dot operation with a straightforward implementation of the BooleanLogicOpInterface. This operation won't typically be created by the lowering pipeline; instead, it will be generated through cut rewriting based on a database from exact synthesis. I'm hoping to upstream this exact synthesis pass soon (https://gist.github.com/uenoku/bc99755f2b4ada0d454a088c7257b0e4 is the IR of area optimal exact synthesis result for 4-input boolean function).
Assisted-by: codex: gpt-5.4