18 апр. 2017 г. · Matiyasevich's theorem has since been used to prove that many problems from calculus and differential equations are unsolvable.

14 авг. 2022 г. · A famous corollary of Matiyasevich's theorem is that there exists a Diophantine equation such that it is undecidable (under some recursively axiomatizable ...

20 июл. 2011 г. · The conversion from TM to a Diophantine equation is complicated and - at least in Matiyasevich's proof - seems to require exponential slow down.

28 апр. 2014 г. · Now, by the MRDP theorem, there is an integer polynomial p(x,→x) such that p(k,→k)=0 for integers just in case k codes a proof of σ in PA.

1 дек. 2018 г. · By Matiyasevich's theorem, each member of computably enumerable set can be obtain from a diophantine equation system.

22 июл. 2010 г. · The justification is that Matiyasevich's solution to Hilbert's tenth problem allows one to turn statements about provable truths in a formal ...

13 янв. 2011 г. · We know that linear Diophantine equations are solvable. But we know by Matiyasevich's theorem that there are some Diophantine equations that are not solvable.

17 янв. 2013 г. · The only objects manipulated in the proof of the incompleteness theorem are various finite strings, like formulas and proofs, which are easily ...

13 февр. 2012 г. · As far as I understand, complex solutions to Matiyasevich's universal exponential Diophantine equation have no special significance, and based ...

12 июн. 2021 г. · Hilbert's Tenth has a negative solution by Matiyasevich's theorem which showed that the question is equivalent to the Halting problem. The ...