Pure bitstring target for the uniform Barrington generator

This file fixes the total function that a log-space transducer must realize. It decodes a canonical postfix Boolean formula, runs the executable Barrington compiler at the fixed target 5-cycle, and serializes the resulting width-5 program. Malformed formula codes map to the empty string; valid program codes are always nonempty because they start with an instruction-count field.

def Complexity.barringtonCompileCode (bits : List Bool) : List Bool

Decode a formula code and emit the canonical code of its compiled width-5 Barrington program. Malformed inputs produce the empty string.

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