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orthomodular poset; full set of states; numerical event

References:

[1] Beltrametti, E. G., Dorninger, D., Ma̧czyński, M J.: **On a cryptographical characterization of classical and nonclassical event systems**. Rep. Math. Phys. 60 (2007), 117–123. DOI 10.1016/S0034-4877(07)80103-0 | MR 2355470 | Zbl 1134.81307

[2] Beltrametti, E. G., Ma̧czyński, M. J.: **On a characterization of classical and nonclassical probabilities**. J. Math. Phys. 32 (1991), 1280–1286. DOI 10.1063/1.529326 | MR 1103482

[3] Beltrametti, E. G., Ma̧czyński, M. J.: **On the characterization of probabilities: A generalization of Bell’s inequalities**. J. Math. Phys. 34 (1993), 4919–4929. MR 1243116

[4] Dorfer, G., Dorninger, D., Länger, H.: **On algebras of multidimensional probabilities**. Math. Slovaca 60 (2010), 571–582. DOI 10.2478/s12175-010-0032-8 | MR 2728523 | Zbl 1249.06023

[5] Dorninger, D., Länger, H.: **On a characterization of physical systems by spaces of numerical events**. ARGESIM Rep. 35 (2009), 601–607.

[7] Ma̧czyński, M. J., Traczyk, T.: **A characterization of orthomodular partially ordered sets admitting a full set of states**. Bull. Acad. Polon. Sci. 21 (1973), 3–8. MR 0314708

[8] Pták, P.: **Concrete quantum logics**. Internat. J. Theoret. Phys. 39 (2000), 827–837. DOI 10.1023/A:1003626929648 | MR 1792201