Notebooks

## When Do Physical Systems Compute?

21 Mar 2022 09:40

• Matthias Scheutz, "Computational versus Causal Complexity", Minds and Machines 11 (2001): 543--566 ["notions of implementation based on an isomorphic correspondence between physical and computational states are not tenable. Rather, implementation' has to be based on the notion of bisimulation' in order to ... incorporate intuitions from computational practice. A formal definition of implementation is suggested ... to make the functionalist notion of `physical realization' precise. The upshot of this new definition ... is that implementation cannot distinguish isomorphic bisimilar from non-isomporphic bisimilar systems anymore, thus driving a wedge between the notions of causal and computational complexity." PDF]