• It is named after its designer, Gregory Chaitin. Chaitin's algorithm was the first register allocation algorithm that made use of coloring of the interference...
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    theory that led to his independent discovery of algorithmic complexity. Chaitin has defined Chaitin's constant Ω, a real number whose digits are equidistributed...
    13 KB (1,101 words) - 00:10, 27 January 2025
  • In the computer science subfield of algorithmic information theory, a Chaitin constant (Chaitin omega number) or halting probability is a real number...
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    known as algorithmic complexity, Solomonoff–Kolmogorov–Chaitin complexity, program-size complexity, descriptive complexity, or algorithmic entropy. It...
    60 KB (7,896 words) - 07:35, 21 July 2025
  • choice of universal machine.) Some of the results of algorithmic information theory, such as Chaitin's incompleteness theorem, appear to challenge common...
    24 KB (2,817 words) - 06:11, 31 July 2025
  • hierarchy in object-oriented programming Chaitin's algorithm: a bottom-up, graph coloring register allocation algorithm that uses cost/degree as its spill metric...
    72 KB (7,951 words) - 17:13, 5 June 2025
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    these algorithms are sometimes called sequential coloring algorithms. The maximum (worst) number of colors that can be obtained by the greedy algorithm, by...
    70 KB (8,460 words) - 16:34, 7 July 2025
  • Gregory Chaitin produced undecidable statements in algorithmic information theory and proved another incompleteness theorem in that setting. Chaitin's theorem...
    14 KB (1,924 words) - 22:07, 19 June 2025
  • converted that directly to PPC code. The major change was to implement Chaitin's algorithm for register use. This system, introduced in 1982, was a landmark...
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  • Intuitively, an algorithmically random sequence (or random sequence) is a sequence of binary digits that appears random to any algorithm running on a (prefix-free...
    33 KB (4,904 words) - 17:35, 14 July 2025
  • spill. Popular spill metrics are: cost / degree - introduced in Chaitin's algorithm cost / degree2 - emphasizes the spill's effect on neighbours cost...
    698 bytes (61 words) - 18:41, 9 February 2022
  • Algorithmic complexity may refer to: In algorithmic information theory, the complexity of a particular string in terms of all algorithms that generate...
    854 bytes (158 words) - 09:10, 26 December 2023
  • have an edge between them. This graph is colored using for example Chaitin's algorithm using the same number of colors as there are registers. If the coloring...
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  • cause further spilling. Briggs et al. introduces a second improvement to Chaitin's works which is biased coloring. Biased coloring tries to assign the same...
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  • (controls) and Cellular automaton. Requisite Variety can be seen in Chaitin's Algorithmic information theory where a longer, higher variety program or finite...
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  • scientist Gregory Chaitin. Chaitin's constant, though not being computable, has been proven to be transcendental and normal. Chaitin's constant is not universal...
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  • Turing machine). A system granted knowledge of the uncomputable, oracular Chaitin's constant (a number with an infinite sequence of digits that encode the...
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  • forever. The halting problem is undecidable, meaning that no general algorithm exists that solves the halting problem for all possible program–input...
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  • Minimum description length (category Algorithmic information theory)
    discovery since Gödel was the discovery by Chaitin, Solomonoff and Kolmogorov of the concept called Algorithmic Probability which is a fundamental new theory...
    21 KB (2,932 words) - 10:53, 24 June 2025
  • Gregory Chaitin produced undecidable statements in algorithmic information theory and proved another incompleteness theorem in that setting. Chaitin's incompleteness...
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  • paraphrase of Chaitin's result is that there can be no formal proof that a sufficiently long string is random..." Beltrami observes that "Chaitin's proof is...
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  • Iota and Jot (category Algorithmic information theory)
    thus: Because of its minimalism, it has influenced research concerning Chaitin's constant. Iota is the LL(1) language that prefix orders trees of the aforementioned...
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  • Berry paradox (category Algorithmic information theory)
    beaver – Concept in theoretical computer science Chaitin's incompleteness theorem – Measure of algorithmic complexityPages displaying short descriptions...
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  • computability theory. Informally, a function is computable if there is an algorithm that computes the value of the function for every value of its argument...
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    infinite-tape Turing machines of finite size and bounded energy BlooP and FlooP Chaitin's constant or Omega (computer science) for information relating to the halting...
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  • is no general algorithm for proving that a given mathematical statement is true or false. It also means that there is no general algorithm for finding solutions...
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  • such as an algorithm. A problem is regarded as inherently difficult if its solution requires significant resources, whatever the algorithm used. The theory...
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  • number Gödel numbering for sequences Gödel's incompleteness theorems Chaitin's incompleteness theorem Gödel's notation: 176  has been adapted to modern...
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    other door would increase their chances of winning. Mathematics portal Chaitin's constant Chance (disambiguation) Frequentist probability Indeterminism...
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    Some of the most notable results of the project include the A* search algorithm, the Hough transform, and the visibility graph method.[citation needed]...
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