(Page 1095b) Notes for: Processes of Perception and Analysis | Traditional Mathematics and Mathematical Formulas Boolean formulas A Boolean function of n variables can always ...

(Page 1138b) Notes for: The Principle of Computational Equivalence | Undecidability and Intractability [Undecidability in] natural systems Undecidable questions arise even in ...

(Page 0027) cellular automata with rules as simple as the ones we have been using these three forms of behavior would be all that we could ever get. But the remarkable fact ...

(Page 0078) Turing Machines In the history of computing, the first widely understood theoretical computer programs ever constructed were based on a class of systems now ...

(Page 0086) It is, however, also possible to consider substitution systems in which elements can simply disappear. If the rate of such disappearances is too large, then ...

(Page 0098) And with this setup, the pictures above show three very simple examples of register machines with two registers. The programs for each of the machines are given ...

(Page 0199) above. And in effect, this then means that other nodes are dropped from the network, so that the total size of the network decreases. By changing the underlying ...

(Page 0266) A couple of sections ago we saw that all class 3 systems have the property that the detailed patterns they produce are highly sensitive to detailed changes in ...

(Page 0270) The point is that these initial conditions in effect contain only blocks for which rule 126 behaves like rule 90. And as a result, the overall patterns produced ...

(Page 0271) produced must have exactly the same structure whether it is looked at in terms of individual cells or in terms of blocks of cells. And this can be achieved in ...