Chaitin's constant

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:alsoKnownAs gptkb:Omega
gptkbp:definedIn gptkb:Gregory_Chaitin
gptkbp:describes halting probability of a universal Turing machine
gptkbp:field algorithmic information theory
gptkbp:hasNo finite algorithm to compute its digits
gptkbp:hasProperty every bit is maximally unknowable
gptkbp:heldBy different values for different universal Turing machines
algorithmically random
between 0 and 1
computably enumerable
non-computable
normal number (conjectured)
real number
uncomputable real number
https://www.w3.org/2000/01/rdf-schema#label Chaitin's constant
gptkbp:introducedIn 1975
gptkbp:relatedTo Technical Machine
halting problem
gptkbp:symbol Ω
gptkbp:usedIn incompleteness proofs
gptkbp:bfsParent gptkb:Kolmogorov_complexity
gptkbp:bfsLayer 5