Geodesic
Temporal logic of linearly ordered $\alpha$-spaces
Algebra i logika, Tome 47 (2008) no. 6, pp. 723-749

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Using the language of temporal logic, we construct a decidable calculus $L^*\alpha$ and prove that the calculus is complete w.r.t. the class of all strictly linearly ordered $\alpha$-frames.
Keywords: temporal logic, linearly ordered $\alpha$-space. 
@article{AL_2008_47_6_a3,
     author = {V. F. Murzina},
     title = {Temporal logic of linearly ordered $\alpha$-spaces},
     journal = {Algebra i logika},
     pages = {723--749},
     publisher = {mathdoc},
     volume = {47},
     number = {6},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2008_47_6_a3/}
}
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V. F. Murzina. Temporal logic of linearly ordered $\alpha$-spaces. Algebra i logika, Tome 47 (2008) no. 6, pp. 723-749. http://geodesic.mathdoc.fr/item/AL_2008_47_6_a3/