Cone interface and hypothesis-ledger syntax

The phrases H-faithful-generation, H-homogeneity, and H-strict-convexity are permissible forms of entries. They are not automatically operationally derived facts. A predicate on the output of a declared extraction rule is legitimate in a conditional statement; it is not legitimate to omit that rule and supply an arbitrary cone as its answer.

A scheduler interleaving is not a linear cone automorphism. Commutation of independent operations therefore does not establish (eq:homogeneity). Likewise, complete positivity concerns cones of operators; identifying an operator-positivity cone with a cone of event differences requires a separate representation theorem CheungEn08A,CheungXXIIA.