Geodesic
Initial Models and Horn Clause Axiomatizability
Publications de l'Institut Mathématique, _N_S_65 (1999) no. 79, p. 17 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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Maljcev introduced a notion of free presentation for arbitrary classes of models and characterized classes of structures admitting such presentations. The connection with Horn clause axiomatizability was shown by Tabata in case of first order theories with equality. Here we prove a generalization of this result for infinitary theories without equality.
Classification : 03-02 03C52 
@article{PIM_1999_N_S_65_79_a2,
     author = {Miodrag Kapetanovi\'c},
     title = {Initial {Models} and {Horn} {Clause} {Axiomatizability}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {17 },
     year = {1999},
     volume = {_N_S_65},
     number = {79},
     zbl = {1006.03030},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1999_N_S_65_79_a2/}
}
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Miodrag Kapetanović. Initial Models and Horn Clause Axiomatizability. Publications de l'Institut Mathématique, _N_S_65 (1999) no. 79, p. 17 . http://geodesic.mathdoc.fr/item/PIM_1999_N_S_65_79_a2/