What are the analogues to Turing-completeness and universality when we are concerned with processes and their behaviours?

Entities in the same semantic neighborhood but without a typed relation to this one — candidates for new edges or unrecognized duplicates.

• If we translate the Universality Hypothesis to the problem of consciousness, would it follow that an artificial system trained to perform the same tasks leading to consciousness formation in a human infant would exhibit consciousness as well?question0.779
  Key open question linking mechanistic interpretability universality to machine consciousness
• Copy-cat processes (partial involutions) are computationally universalfinding0.773
  Mere copying of tokens between paired positions suffices to simulate all partial recursive functions and model higher-order logics.
• The fact that one process calls on other processes is not voluntary; it is essential to the nature of the system, just as in arithmetic.claim0.771
  Argues that sequence linkages reflect deep necessity, not option, for the system to work.
• Mere copying processes (partial involutions) are computationally universalclaim0.770
  The Geometry of Interaction model shows that simple copying of information between locations suffices for all computation, establishing emergent logic.
• If the Universality Hypothesis is correct, an artificial system trained to perform the same tasks that lead to consciousness in a human infant might exhibit consciousness as well.claim0.766
  Paper's extension of Olah's Universality Hypothesis to the domain of consciousness
• Languages that cannot be automatically evaluated inevitably contain unresolvable paradoxes; constructive computation avoids this by building representations over simple step-by-step operations.claim0.764
  Paper's interpretation of Gödel's incompleteness result as motivating computationalism
• "Computational processes are abstract beings that inhabit computers... A computational process is indeed much like a sorcerer's idea of a spirit. It cannot be seen or touched. It is not composed of matter at all."quote0.764
  Load-bearing quote from SICP framing computation as spirit-like; grounds the cyberanimism framework
• In every case, the process is straightforward, simple, and above all free: it allows the reality of the situation, the human needs, human joys, to find expression.claim0.762
  A summary generalization from the examples about the nature of living processes.