Low basis theorem information

The low basis theorem is one of several basis theorems in computability theory, each of which showing that, given an infinite subtree of the binary tree...

Hilbert's basis theorem, in algebraic geometry, says that a polynomial ring over a Noetherian ring is Noetherian. Low basis theorem, a particular theorem in...

model of WKL0 consisting entirely of low sets using the low basis theorem, since low sets relative to low sets are low. The following assertions are equivalent...

theorem could hold and then also argued that real-world transaction costs are rarely low enough to allow for efficient bargaining. Hence, the theorem...

forcing, and the low basis theorem. Chapter six, "the real heart of the book", applies this method to an infinitary form of Ramsey's theorem: every edge coloring...

Urbana–Champaign. In 1972 Jockusch and Robert I. Soare proved the low basis theorem, an important result in mathematical logic with applications to recursion...

In machine learning, the radial basis function kernel, or RBF kernel, is a popular kernel function used in various kernelized learning algorithms. In...

PA degrees that are not above 0‘. For example, the low basis theorem implies that there is a low PA degree. On the other hand, Antonín Kučera has proved...

In mathematics, a classification theorem answers the classification problem "What are the objects of a given type, up to some equivalence?". It gives...

consequence of this is Smale's h-cobordism theorem, which works in dimension 5 and above, and forms the basis for surgery theory. A modification of the...

In computational complexity theory, the PCP theorem (also known as the PCP characterization theorem) states that every decision problem in the NP complexity...

spaces) Baker's theorem (number theory) Balian–Low theorem (Fourier analysis) Balinski's theorem (combinatorics) Banach–Alaoglu theorem (functional analysis)...

(A&S 1959) – mathematician who proved (with Robert I. Soare) the low basis theorem, with applications to recursion theory and reverse mathematics Steven...

forms a basis for the vector space. By the rank-nullity theorem, dim(ker(A−λI))=n-r, so t=n-r-s, and so the number of vectors in the potential basis is equal...

matrix, and thus also square, the spectral theorem ensures that it can be unitarily diagonalized using a basis of eigenvectors, and thus decomposed as M...

Robert Soare and Carl Jockusch to prove, among other results, the low basis theorem. Here P is the set of nonempty Π 1 0 {\displaystyle \Pi _{1}^{0}}...

quantum information theory, the no low-energy trivial state (NLTS) conjecture is a precursor to a quantum PCP theorem (qPCP) and posits the existence of...