Transformers in Uniform TC$^0$ — mentioned by nyrikki

Mon, 23 Dec 2024 19:17:34 GMT

Yes, in this case PARITY is determining if the number of 1s in a binary input is odd or even It is an effect of the complex to unpack descriptive complexity class DLOGTIME-uniform TC0, which has AND, OR and MAJORITY gates. http://arxiv.org/abs/2409.13629 The point being that the ability to use parity gates is different than being able to calculate it, which is where the union of the typically ram machine DLOGTIME with the circuit complexity of uniform TC0 comes into play. PARITY, MAJ, AND, and OR are all symmetric, and are in TCO, but PARITY is not in DLOGTIME-uniform TC0, which is…

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Transformers in Uniform TC$^0$ · HackerPapers discussions

Transformers in Uniform TC$^0$ — mentioned by nyrikki