We will prove Theorem 2 Periodic states that have an anchor lie in cycles in the state diagram of . These cycles have a length that is a power of two and this length ranges from 1 to the largest power of two not
Ad (2): We implemented both, the eager and lazy approach, in a tool called\(\textsc {RSMCheck}\)Footnote1. To the best of our knowledge,\(\textsc {RSMCheck}\)is the first model checker specifically dedicated to RSMs, while existing state-of-the-art model checkers for procedural progr...
Since the center-valued dimensionfunction is the restriction of τ to the set P of projections in R, Theorem 8.4.4 describes the set of values taken by ρ0 on P. Specifically, R has a unique tracial state ρ0; moreover, ρ0 is faithful and normal. The range of ρ0| P is the ...
and \(\varphi (0)=\widetilde{1}\) . it is an anti-isomorphism if it is bijective; in this case, the inverse function \(\varphi ^{-1}:{\widetilde{\mathcal {b}}}{{\longrightarrow }}{\mathcal {b}}\) is also an anti-isomorphism. for example, the negation operator \(\lnot ...
Hence, a different strategy would be necessary to prove the Hadamard property of the Unruh state in this regime. In addition to the Lemma above, the analysis of the null geodesics on Kerr-de Sitter also allows us to show Proposition 2.3. M and M˜ are globally hyperbolic. Proof. ...