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Diophantine set
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===Proof technique=== [[Yuri Matiyasevich]] utilized a method involving [[Fibonacci number]]s, which [[exponential growth|grow exponentially]], in order to show that solutions to Diophantine equations may grow exponentially. Earlier work by [[Julia Robinson]], [[Martin Davis (mathematician)|Martin Davis]] and [[Hilary Putnam]] β hence, MRDP β had shown that this suffices to show that every [[recursively enumerable set|computably enumerable set]] is Diophantine.
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