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Directory:Jon Awbrey/Papers/Differential Analytic Turing Automata (view source)

Revision as of 03:01, 17 March 2009

422 bytes removed ,  03:01, 17 March 2009
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==Note 23==
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==Initial Conditions==
    
Given but a single free square on the tape, there are just two different sets of initial conditions for <math>\operatorname{Stunt}(2),</math> the finite approximation to the parity turing machine that we are presently considering.
 
Given but a single free square on the tape, there are just two different sets of initial conditions for <math>\operatorname{Stunt}(2),</math> the finite approximation to the parity turing machine that we are presently considering.
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==Note 24==
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==Propositional Program==
    
A complete description of <math>\operatorname{Stunt}(2)</math> in propositional form is obtained by conjoining one of the above choices for initial conditions with all of the following sets of propositions, that serve in effect as a simple type of ''declarative program'', telling us all that we need to know about the anatomy and behavior of the truncated TM in question.
 
A complete description of <math>\operatorname{Stunt}(2)</math> in propositional form is obtained by conjoining one of the above choices for initial conditions with all of the following sets of propositions, that serve in effect as a simple type of ''declarative program'', telling us all that we need to know about the anatomy and behavior of the truncated TM in question.
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'''Mediate Conditions'''
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===Mediate Conditions===
    
{| align="center" cellpadding="8" width="90%"
 
{| align="center" cellpadding="8" width="90%"
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'''Terminal Conditions'''
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===Terminal Conditions===
    
{| align="center" cellpadding="8" width="90%"
 
{| align="center" cellpadding="8" width="90%"
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|}
 
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'''State Partition'''
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===State Partition===
    
{| align="center" cellpadding="8" width="90%"
 
{| align="center" cellpadding="8" width="90%"
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'''Register Partition'''
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===Register Partition===
    
{| align="center" cellpadding="8" width="90%"
 
{| align="center" cellpadding="8" width="90%"
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'''Symbol Partition'''
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===Symbol Partition===
    
{| align="center" cellpadding="8" width="90%"
 
{| align="center" cellpadding="8" width="90%"
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|}
 
|}
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'''Interaction Conditions'''
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===Interaction Conditions===
    
{| align="center" cellpadding="8" width="90%"
 
{| align="center" cellpadding="8" width="90%"
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'''Transition Relations'''
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===Transition Relations===
    
{| align="center" cellpadding="8" width="90%"
 
{| align="center" cellpadding="8" width="90%"
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==Note 25==
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==Interpretation of the Propositional Program==
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===Interpretation of the Propositional Program===
      
Let us now run through the propositional specification of <math>\operatorname{Stunt}(2),</math> our truncated TM, and paraphrase what it says in ordinary language.
 
Let us now run through the propositional specification of <math>\operatorname{Stunt}(2),</math> our truncated TM, and paraphrase what it says in ordinary language.
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'''Mediate Conditions'''
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===Mediate Conditions===
    
{| align="center" cellpadding="8" width="90%"
 
{| align="center" cellpadding="8" width="90%"
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|}
 
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==Note 26==
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===Terminal Conditions===
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  −
===Interpretation of the Propositional Program (cont.)===
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  −
'''Terminal Conditions'''
      
{| align="center" cellpadding="8" width="90%"
 
{| align="center" cellpadding="8" width="90%"
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|}
 
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==Note 27==
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===State Partition===
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  −
===Interpretation of the Propositional Program (cont.)===
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  −
'''State Partition'''
      
{| align="center" cellpadding="8" width="90%"
 
{| align="center" cellpadding="8" width="90%"
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|}
 
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==Note 28==
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===Register Partition===
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  −
===Interpretation of the Propositional Program (cont.)===
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  −
'''Register Partition'''
      
{| align="center" cellpadding="8" width="90%"
 
{| align="center" cellpadding="8" width="90%"
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|}
 
|}
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==Note 29==
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===Symbol Partition===
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===Interpretation of the Propositional Program (cont.)===
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  −
'''Symbol Partition'''
      
{| align="center" cellpadding="8" width="90%"
 
{| align="center" cellpadding="8" width="90%"
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|}
 
|}
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==Note 30==
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===Interaction Conditions===
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  −
===Interpretation of the Propositional Program (cont.)===
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  −
'''Interaction Conditions'''
      
{| align="center" cellpadding="8" width="90%"
 
{| align="center" cellpadding="8" width="90%"
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</pre>
 
</pre>
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==Note 31==
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===Transition Relations===
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  −
===Interpretation of the Propositional Program (cont.)===
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'''Transition Relations'''
      
{| align="center" cellpadding="8" width="90%"
 
{| align="center" cellpadding="8" width="90%"
Jon Awbrey
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