Explain the following passage: " The infinity-groupoid corresponds to the entire collection of metacognitive self-reflective algorithms that can compute one another's equivalences. (Example, a search algorithm that can compute the equivalence of a less efficient search algorithm that optimizes the same search.) In other words, there is a certain type of algorithm that models the equivalences of other algorithms of its own type: these are metacognitive algorithms that search their own execution traces (usually to optimize the process of searching the metacognitive space itself, learning to learn as it were.) Such metacognitive algorithms abstract the process of abstraction itself; they represent what kinds of representational schema can exist. NAME_1 develops the theory of hyperdialectic, gestures, and bicategories from these metacognitive self-reflective algorithms; they produce logic from data and then, synthesizing that data and logic, produce more data from which to extract yet more logic. (They become "increasingly hard to synthesize" the further along one follows any given existential graph.) NAME_1 attempts to 'decode' all extrinsic logical systems (essentially all representational schemes) into these meta-algorithms, naming them bicategories: the issue with this approach appears in the third note here, namely the fact that it assumes computational equivalence, as does Wolfram." Your entire response should be in English, and in all capital letters.
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