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|Allen H. Brady |Allen H. Brady ...

...it reaches an undefined instruction. Here we represent it with the letter H. Let S(h,w) = A:[h-3,0,w] ...

<math display="block">\textstyle H(n)\equiv n+\big\lfloor\frac{1}{2}n\big\rfloor=\Big\lfloor\frac{3}{2}n\Big\r ...terms. Similarly, Antihydra halts if and only if repeatedly applying <math>H(n)</math>, starting with <math>n=8</math>, will eventually generate more od ...

..., Allen Brady proves that S(4) ≥ 84 and Σ(4) ≥ 11.<ref name=":0">Brady, A. H. (1965). Solutions of restricted cases of the halting problem applied to th ...upon a slightly different version of S function).<ref name=":1">Brady, A. H. (1966). The Conjectured Highest Scoring Machines for Rado's Σ(k) for the V ...

...ze is the number of steps needed for the bug to reach the destination. Bug(H,W) is the maximum score across all HxW mazes. The champion mazes (for a giv Bug(H,W) is a computable function. For every maze, if there is a path to the dest ...

...keeps parity of the original, yet the terms can now be related using <math>H</math>: <math display="block">H^i(8)=f^i(4)+4</math> ...

MitM_CTL RWL_mod sim 1001 maxT 1000 H 6 mod 3 n 2 run 7190617 MitM_CTL CPS_LRU sim 1001 maxT 1000 LRUH 16 H 1 tH 1 n 4 run 4342619 ...

...achine is at state q, read symbol (s,h) where s is the original symbol and h is extra data). ...

B->A,B,H ...any value = 1,5 (mod 6), <code>B</code> any value = 2,4 (mod 6) and <code>H</code> any value = 3 (mod 6) (which will lead to halt next turn). ...

h(n) = 2^6n = 64^n g^k(6) = 6*h^k(1) = 6*(64^^k) ...

...ion of the ''g''s into ''h'': <math>C(h, g_1, \dots g_m)(x_1, \dots x_k) = h(g_1(x_1, \dots x_k), \dots g_m(x_1, \dots x_k))</math> ...GRF_{k+1}</math> is primitive recursion using ''g'' as the base case and ''h'' as the inductive step. ...

...https://doi.org/10.1002/j.1538-7305.1962.tb00480.x</ref><ref>Brady, Allen H, and the Meaning of Life, 'The Busy Beaver Game and the Meaning of Life', i ...lue, [[BB(5)]], is equal to the lower bound found in 1989: 47,176,870.<ref>H. Marxen and J. Buntrock. Attacking the Busy Beaver 5. ...

|style="text-align:left" | MitM_CTL RWL_mod sim 1001 maxT 1000 H 4 mod 6 n 1 run |style="text-align:left" | MitM_CTL RWL_mod sim 1001 maxT 1000 H 4 mod 1 n 6 run ...

|style="text-align:left" |MitM_CTL RWL_mod sim 1001 maxT 3000 H 6 mod 2 n 6 run |style="text-align:left" |MitM_CTL RWL_mod sim 1001 maxT 10000 H 6 mod 2 n 8 run ...

! style="text-align:right" | (h) ...this machine starting at A(0, 1). If we start a new line every time rule (h) is applied, we find that it follows ''chains'' of steps, each starting fro ...

...ay in an article discussing possibly unprovable statements.<ref>Conway, J. H. (2013). On Unsettleable Arithmetical Problems. The American Mathematical M ...

H(2n) & = & 3n &\text{(even transition)} \\ H(2n+1) & = & 3n+1&\text{(odd transition)} ...

|style="text-align:left" |MitM_CTL RWL_mod sim 1001 maxT 10000 H 6 mod 2 n 8 |style="text-align:left" |MitM_CTL RWL_mod sim 1001 maxT 10000 H 8 mod 3 n 6 ...

...y Conway in his 1972 paper "Unpredictable iterations".<ref name=":0">John. H. Conway. 1972. [https://gwern.net/doc/cs/computable/1972-conway.pdf Unpredi ...

...es that any standard TM can be simulated by a 3-tape quadruple RTM.<ref>C. H. Bennett, "[http://www.dna.caltech.edu/courses/cs191/paperscs191/bennett197 ...