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The Indeterminacy of Nondeterminism

 Walter Warwick
  
 

Abstract:

(Contributed Talk)

Ideas about computation have come to play an increasingly important role in many contemporary philosophical debates. These intuitions are underwritten by a long tradition in theoretical computer science. In this essay, however, I present an open question from complexity theory where the received theoretical understanding runs counter to some very natural intuitions about algorithms. I point to the nondeterministic Turing machine as the source of these troubles and then sketch a brief history of nondeterminism in theoretical computer science. Finally, I suggest that more recent developments in complexity theory are unlikely to resolve these philosophical tensions.

 
 


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