computability theory and computational complexity theory, an undecidable problem is a decision problem for which it is proved to be impossible to construct an...

In computability theory, an undecidable problem is a decision problem for which an effective method (algorithm) to derive the correct answer does not...

halting problem is undecidable, meaning that no general algorithm exists that solves the halting problem for all possible program–input pairs. The problem comes...

correspondence problem is an undecidable decision problem that was introduced by Emil Post in 1946. Because it is simpler than the halting problem and the...

Look up undecidable or undecidability in Wiktionary, the free dictionary. Undecidable may refer to: Undecidable problem in computer science and mathematical...

decidabilities. On the top are the undecidable problems. Below it are the decidable problems. Furthermore, the decidable problems can be divided into a complexity...

accordingly. Some of the most important problems in mathematics are undecidable, e.g. the halting problem. The field of computational complexity theory...

halt. The undecidability of the halting problem (the problem of testing whether a Turing machine eventually halts) then implies the undecidability of Wang's...

NP-complete problems List of paradoxes List of PSPACE-complete problems List of undecidable problems List of unsolved deaths Lists of problems Unknowability...

from this set. The matrix mortality problem is known to be undecidable when n ≥ 3. In fact, it is already undecidable for sets of 6 matrices (or more) when...

same element of G {\displaystyle G} . The word problem is a well-known example of an undecidable problem. If A {\displaystyle A} is a finite set of generators...

as difficult to solve as the problems in NP. However, the opposite direction is not true: some problems are undecidable, and therefore even more difficult...

arbitrary formulas are included in the theory. Many important problems are undecidable, that is, it has been proven that no effective method for determining...

Hence, the problem is known to need more than exponential run time. Even more difficult are the undecidable problems, such as the halting problem. They cannot...

answering that question. In modern terms, Hilbert's 10th problem is an undecidable problem. In a Diophantine equation, there are two kinds of variables:...

nor false for every program. The theorem generalizes the undecidability of the halting problem. It has far-reaching implications on the feasibility of...

answers every question in the problem set (see undecidable problem). Because of the two meanings of the word undecidable, the term independent is sometimes...

whether it is homeomorphic to another fixed simplicial complex. The problem is undecidable for complexes of dimension 5 or more.: 9–11  An abstract simplicial...

proving that a given expression is non-zero, or of showing that the problem is undecidable. For example, if x1, ..., xn are real numbers, then there is an...

to this problem from the well-known undecidable problem of determining whether a Turing machine accepts a particular input (the halting problem). The reduction...

the first purely algebraic problem to be proved undecidable. Shelah later showed that the Whitehead problem remains undecidable even if one assumes the continuum...

unsolvable are so-called undecidable problems, such as the halting problem for Turing machines. Some well-known difficult abstract problems that have been solved...

Conventionally, an undecidable problem is derived from a recursive set, formulated in undecidable language, and measured by the Turing degree. Undecidability, with...

question, such as the emptiness problem for non-erasing stack automata, are PSPACE-complete. The emptiness problem is undecidable for context-sensitive grammars...

The problem can be of any complexity class. Even undecidable problems, such as the halting problem, can be used. An oracle machine can be conceived as...

mathematical logic Decidable problem and Undecidable problem Gödel's incompleteness theorem, a theorem on the undecidability of languages consisting of...

It also contains some undecidable problems, such as the unary version of every undecidable problem, including the halting problem. Because of that, it...

In mathematics, Richardson's theorem establishes the undecidability of the equality of real numbers defined by expressions involving integers, π, ln 2...

written on it. Philip K. Hooper proved in 1966 that the mortality problem is undecidable. This is true both for a machine with a tape infinite in both directions...

distinction between parsing and execution, and makes syntax analysis an undecidable problem in these languages, meaning that the parsing phase may not finish...