day37 - Bibliography Prusinkiewicz Lindenmayer The...

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10/4/11 Dec 2, 2007/COT5310 © UCF (Charles E. Hughes) 11 Bibliography Prusinkiewicz & Lindenmayer The algorithmic beauty of plants, 1990, Springer – Verlag Prusinkiewicz et al. L-systems and beyond, Siggraph 2003 course notes Both available online at: http://algorithmicbotany.org/papers/
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10/4/11 Dec 2, 2007/COT5310 © UCF (Charles E. Hughes) 22 Halting vs Mortality The Halting Problem (Set Halt) Given an arbitrary machine M and starting configuration C, does M halt eventually when started on C The Uniform Halting Problem (Set Total) Given an arbitrary machine M does M halt eventually no matter what finite configuration it is started on? The Mortality Problem (Set Mortal) Given an arbitrary machine M does M halt eventually no matter what configuration (finite or infinite) it is started on?
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10/4/11 Dec 2, 2007/COT5310 © UCF (Charles E. Hughes) 33 Finite vs Infinite? Consider the machine that computes x+1, given input x, leaving its input unaltered. Unary notation. Copy x 1’s. Append a 1.
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