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
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
unlabeled · line 884
unlabeled · line 896