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==Note 21==
 
==Note 21==
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By way of providing a simple illustration of Cook's Theorem, namely, that "Propositional Satisfiability is NP-Complete", I will describe one way to translate finite approximations of turing machines into propositional expressions, using the cactus language syntax for propositional calculus that I will describe in more detail as we proceed.
    
<pre>
 
<pre>
By way of providing a simple illustration of Cook's Theorem,
  −
namely, that "Propositional Satisfiability is NP-Complete",
  −
I will describe one way to translate finite approximations
  −
of turing machines into propositional expressions, using
  −
the cactus language syntax for propositional calculus
  −
that I will describe in more detail as we proceed.
  −
   
Notation:
 
Notation:
  
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