Geodesic
Conflict and conflict-free theories
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 1833-1842

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We define and study $\lambda$-conflict theories and, in particular, conflict-free theories. A series of conflict-free theories is found. It is proved that there are $\lambda$-conflict theories for arbitrary $\lambda$. It is shown that $\lambda$-conflictness is not preserved under expansions of theories.
Keywords: conflict theory, conflict-free theory, generic structure, cardinality contradiction. 
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     author = {A. Yu. Mikhaylenko and S. V. Sudoplatov},
     title = {Conflict and conflict-free theories},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1833--1842},
     publisher = {mathdoc},
     volume = {16},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2019_16_a28/}
}
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A. Yu. Mikhaylenko; S. V. Sudoplatov. Conflict and conflict-free theories. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 1833-1842. http://geodesic.mathdoc.fr/item/SEMR_2019_16_a28/