Hilbert's tenth problem is the tenth on the list of mathematical problems that the German mathematician David Hilbert posed in 1900. It is the challenge...

Hilbert's problems are 23 problems in mathematics published by German mathematician David Hilbert in 1900. They were all unsolved at the time, and several...

solving Diophantine equations is illustrated by Hilbert's tenth problem, which was set in 1900 by David Hilbert; it was to find an algorithm to determine whether...

Matiyasevich's completion of the MRDP theorem settled Hilbert's tenth problem. Hilbert's tenth problem was to find a general algorithm that can decide whether...

fields of computability theory and mathematical logic. His work on Hilbert's tenth problem led to the MRDP theorem. He also advanced the Post–Turing model...

computational complexity theory—most notably in decision problems. Her work on Hilbert's tenth problem (now known as Matiyasevich's theorem or the MRDP theorem)...

homeomorphic, or if a 5-manifold is homeomorphic to S5. Hilbert's tenth problem: the problem of deciding whether a Diophantine equation (multivariable...

computer scientist. He is best known for his negative solution of Hilbert's tenth problem (Matiyasevich's theorem), which was presented in his doctoral thesis...

subsequently work on Hilbert's eighth problem, the Riemann hypothesis, although without the success of his earlier work. Hilbert's tenth problem asked if there...

that the Diophantine problem (closely related to Hilbert's tenth problem) is also undecidable by reducing it to the halting problem. This means that there...

reduce logic to arithmetic. The Entscheidungsproblem is related to Hilbert's tenth problem, which asks for an algorithm to decide whether Diophantine equations...

L-function L(E, s) associated with it vanishes to order r at s = 1. Hilbert's tenth problem dealt with a more general type of equation, and in that case it...

Matiyasevich showed that Hilbert's Tenth Problem, posed in 1900 as a challenge to the next century of mathematicians, cannot be solved. Hilbert's challenge sought...

impossible to answer the question for all cases. Franzén introduces Hilbert's tenth problem and the MRDP theorem (Matiyasevich-Robinson-Davis-Putnam theorem)...

Appliquées, vol. 2, pp. 601–611. The narrower question posed in Hilbert's tenth problem, about Diophantine equations, remains unresolved until 1970, when...

consistent). This follows from Yuri Matiyasevich's resolution of Hilbert's tenth problem; the polynomial is constructed so that it has an integer root if...

developed by Tibor Radó in 1962, is another well-known example. Hilbert's tenth problem asked for an algorithm to determine whether a multivariate polynomial...

for example, Hilbert's tenth problem which is RE-complete. A similar problem exists in the theory of algebraic complexity: VP vs. VNP problem. Like P vs...

algorithm for the Boolean satisfiability problem and he helped demonstrate the unsolvability of Hilbert's tenth problem. Putnam applied equal scrutiny to his...

be defined by a Diophantine equation, which led to his solving Hilbert's tenth problem. The Fibonacci numbers are also an example of a complete sequence...

computable. The set of busy beaver champions is not computable. Hilbert's tenth problem is not computable. Both A, B are sets in this section. If A is...

this effect; see Tien Kieu (2003). "Quantum Algorithm for the Hilbert's Tenth Problem". Int. J. Theor. Phys. 42 (7): 1461–1478. arXiv:quant-ph/0110136...

Matiyasevich's theorem, which implies that Hilbert's tenth problem has no effective solution; this problem asked whether there is an effective procedure...

theory. Hilbert's tenth problem Hilbert's tenth problem is the tenth on the list of mathematical problems that the German mathematician David Hilbert posed...

University, known for her research on computational number theory, Hilbert's tenth problem, and applications in cryptography. Eisenträger earned a Vordiplom...

found by Yuri Matiyasevich as part of the negative solution to Hilbert's Tenth Problem. Diophantine sets predate recursion theory and are therefore historically...

limited nesting depths of Kleene stars? For which number fields does Hilbert's tenth problem hold? Kueker's conjecture The main gap conjecture, e.g. for uncountable...

Paul (1999), Diagonal quadratic forms and Hilbert’s tenth problem, pp. 261–274 in Hilbert’s tenth problem: relations with arithmetic and algebraic geometry...

Davis. "Hilbert's Tenth Problem is Unsolvable." American Mathematical Monthly 80, pp. 233–269, 1973 Yandell, Benjamin H.. The Honors Class. Hilbert's Problems...

this was not possible – at least not within arithmetic itself. Hilbert's tenth problem was to determine whether a given polynomial Diophantine equation...