Geodesic
The stability of pure weights under conditioning
Glasgow mathematical journal, Tome 15 (1974) no. 1, pp. 5-12

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In [1], we showed how a collection of physical operations or experiments could be represented by a nonempty set of nonempty sets satisfying certain conditions (irredundancy and coherence) and we called such sets . We also introduced “complete stochastic models” for the empirical universe of discourse represented by such a manual , namely, the so-called weight functions for . These weight functions form a convex set the extreme points of which are called pure weights. We also showed that there is a so-called logic ∏() affiliated with a manual and that each weight function for induces a state on this logic. 
Foulis, D. J.; Randall, C. H. The stability of pure weights under conditioning. Glasgow mathematical journal, Tome 15 (1974) no. 1, pp. 5-12. doi: 10.1017/S0017089500002020
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[1] 1.Foulis, D. and Randall, C., Operational statistics I, basic concepts, J. Mathematical Physics 13 (1972), 1667–1675. Google Scholar

[2] 2.Foulis, D. and Randall, C., Conditioning maps on orthomodular lattices, Glasgow Math. J. 12 (1971), 35–42. Google Scholar

[3] 3.Greechie, R., Orthomodular lattices admitting no states,J. Combinatorial Theory 10 (1971), 119–132. Google Scholar | DOI

[4] 4.Greechie, R. and Miller, F., On structures related to states on an empirical logic: I. Weights on finite spaces, Kansas State University mimeographed notes, 1969. Google Scholar

[5] 5.Lüders, G., Über die Zustandsänderung durch den Messprozess, Ann. Physik 8 (1951), 322–328. Google Scholar

[6] 6.Messiah, A., Quantum Mechanics. Vol. 1 (Amsterdam, 1961). Google Scholar

[7] 7.Pool, J., Semimodularity and the logic of quantum mechanics, Comm. Math. Phys. 9 (1968), 212–228. Google Scholar

[8] 8.Randall, C. and Foulis, D., An approach to empirical logic, Amer. Math. Monthly 77 (1970), 363–374. Google Scholar | DOI

[9] 9.Randall, C. and Foulis, D., States and the free orthogonality monoid, Math. Systems Theory 6 (1972), 268–276. Google Scholar

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