Asa H is built out of case-based reasoners. It is Roger Schank's view that "Case-based reasoning is the essence of how human reasoning works." (Case-based planning, K.J. Hammond, Academic Press, 1989, pg xiii)
Asa H operates on patterns in much the same way that ART networks do. "ART was introduced as a theory of human cognitive information processing." by S. Grossberg. (Brain-mind machinery, G. Ng, World Scientific, 2009, pg 146)
The Asa H hierarchy operates in about the same way as does J. Hawkins' HTM. HTM is Hawkins' model of the human neocortex. (On Intelligence, J. Hawkins, Times Books, 2004)
In Asa H clustering modules perform categorization. This appears to occur in neocortical layers II and III in the human brain.(Rodrigues, et al, J. Cog. Neurosci., 16, 856, 2004)
D. Hofstadter argues that "Analogy is the core of all thinking." (Surfaces and essences, Basic Books, 2013) Analogy is one of Asa H's basic learning/extrapolation algorithms.
Granger, Rodriguez, et al, identify the brain's computational instruction set as consisting of: sequence completion, hierarchical clustering, retrieval trees, hash coding, compression, time dilation, and reinforcement learning. (AAAI technical report FS-04-01, 2004, pg36) Asa H makes use of most or all of these.