Manuscript XXII-F@1 · XXII-F.tex · section · 67821705

The scheduler comparison is not automatic

Obstructions the certificates must respect › The scheduler comparison is not automatic · lines 853–902

XXII-F@1#eq:additional, XXII-F@1#eq:joint-witness

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The scheduler package records acyclic dependency, finite-experiment termination, commutation of independent operations, schedule-independent complete records, sensitivity equal to strict reachability in its designated models, and confluence. It is not automatically defined for every process matrix CheungXXIIA,CheungXXIIB.

On a declared common model universe , let denote operative class restrictions and the additional assumptions. The required additional-content audit is

separate from

Where the baseline is not applicable, its comparison dictionary must be supplied instead of assigning by name.

En08-A records the scheduler obstruction and its ball-section and orthant realizations CheungEn08A (thm:main). For the standard orthant in dimension at least three, homogeneity holds through positive diagonal automorphisms, but strict convexity fails because is on the boundary. For the standard diamond cone

the sum of and is again on the boundary. These standard cones fail (K3) CheungEn08A (prop:orthant, prop:ball).

Those computations are not a translation of the predecessor models into the frozen component carrier or a new selector. A relevant countermodel requires its process, access, carrier, and rule to be interpreted first. Moreover,

A Euclidean-ball section is not itself a non-Lorentzian cone. Excluding named examples is not classification of every remaining possibility.

Displayed formulas in this passage

  • XXII-F@1#eq:additional · line 865

  • XXII-F@1#eq:joint-witness · line 870

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