Geodesic
Glivenko theorem for $N^*$-extensions
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 8 (2011), pp. 365-368 Cet article a éte moissonné depuis la source Math-Net.Ru

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Logic $N^*$ was defined semantically via combination of Kripke frames for intuitionistic logic with Routley's $*$-operator, which is used to interpret the negation operation. In this notice, we find out the least logic in the class of $N^*$-extensions, which satisfy Glivenko's theorem, and describe the Kripke semantics of this logic.
Keywords: Routley semantics
Mots-clés : Glivenko theorem. 
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     author = {S. P. Odintsov},
     title = {Glivenko theorem for $N^*$-extensions},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {365--368},
     year = {2011},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2011_8_a29/}
}
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S. P. Odintsov. Glivenko theorem for $N^*$-extensions. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 8 (2011), pp. 365-368. http://geodesic.mathdoc.fr/item/SEMR_2011_8_a29/

[1] P. Cabalar, S.P. Odintsov, D. Pearce, “Logical foundations of well-founded semantics”, Principles of Knowledge Representation and Reasoning, Proceedings of the 10th International Conference (KR2006), eds. P. Doherty et al., AAAI Press, Menlo Park, California, 2006, 25–36

[2] S.P. Odintsov, “Combining intuitionstic connectives and Routley negation”, SEMR, 7 (2010), 21–41 | MR

[3] R. Routley, V. Routley, “The semantics of first degree entailment”, Noûs, 6 (1972), 335–359 | MR