Geodesic
Decidable Boolean Algebras of Characteristic~$(1,0,1)$
Matematičeskie trudy, Tome 7 (2004) no. 1, pp. 3-12.

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We prove that every 2-constructive Boolean algebra with elementary characteristic $(1,0,1)$ is strongly constructivizable (decidable). This completes the study of the relation between $n$-constructibility and strong constructibility for Boolean algebras of characteristics $(0,*,*)$ and $(1,*,*)$. In addition, we give a description for 3-constructive Boolean algebras by means of a $\Delta^0_2$-computable invariant. 
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P. E. Alaev. Decidable Boolean Algebras of Characteristic~$(1,0,1)$. Matematičeskie trudy, Tome 7 (2004) no. 1, pp. 3-12. http://geodesic.mathdoc.fr/item/MT_2004_7_1_a0/

[1] Alaev P. E., “Giperarifmeticheskie bulevy algebry s vydelennym idealom”, Sib. mat. zhurn., 45:5 (2004), 963–976 | MR | Zbl

[2] Vlasov V. N., “Konstruktiviziruemost bulevykh algebr elementarnoi kharakteristiki $(1,0,1)$”, Algebra i logika, 37:5 (1998), 499–521 | MR | Zbl

[3] Vlasov V. N., Goncharov S. S., “O silnoi konstruktiviziruemosti bulevykh algebr elementarnoi kharakteristiki $(1,1,0)$”, Algebra i logika, 32:6 (1993), 618–630 | MR | Zbl

[4] Goncharov S. S., “Nekotorye svoistva konstruktivizatsii bulevykh algebr”, Sib mat. zhurn., 16:2 (1975), 264–278 | MR | Zbl

[5] Goncharov S. S., “Ogranichennye teorii konstruktivnykh bulevykh algebr”, Sib. mat. zhurn., 17:4 (1976), 797–812 | MR | Zbl

[6] Goncharov S. S., Schetnye bulevy algebry, Nauka, Novosibirsk, 1988

[7] Goncharov S. S., Schetnye bulevy algebry i razreshimost, Nauchnaya kniga, Novosibirsk, 1996

[8] Odintsov S. P., Ogranichennye teorii konstruktivnykh bulevykh algebr nizhnego sloya, Preprint, No 21, IM SO AN SSSR, Novosibirsk, 1986

[9] Odintsov S. P., “Generally constructive Boolean algebras”, Recursive Algebra, Analysis, and Combinatorics, Handbook of Recursive Mathematics, 2, Elsevier, Amsterdam, 1998, 1319–1354 | MR | Zbl