Geodesic
A completeness theorem for the Evans logic of identities
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 1 (2004), pp. 24-34 
M. S. Sheremet. A completeness theorem for the Evans logic of identities. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 1 (2004), pp. 24-34. http://geodesic.mathdoc.fr/item/SEMR_2004_1_a1/
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Voir la notice de l'article provenant de la source Math-Net.Ru

A complete and sound, relative to the notion of validity introduced by T. Evans, set of inference rules is constructed for identities of partial algebras.

[1] T. Evans, “The word problem for abstract algebras”, J. London Math. Soc., 26:1 (1951), 64–71 | DOI | MR | Zbl

[2] H.Höft, “Weak and strong equations in partial algebras”, Algebra Univers., 3:2 (1973), 203–215 | DOI | MR | Zbl

[3] J. Słomiński, Peano-algebras and quasi-algebras, Diss. Math., 57, 1968 | MR

[4] A. Robinson, “Equational logic for partial functions under Kleene equality: a complete and incomplete set of rules”, J. Symb. Logic, 54:2 (1989), 354–362 | DOI | MR | Zbl

[5] P. Burmeister, A model-theoretic oriented approach to partial algebras, Part I, Academie-Verlag, Berlin, 1986 | MR

[6] L. Rudak, “A completeness theorem for weak equational logic”, Algebra Univers., 16:3 (1983), 331–337 | DOI | MR | Zbl

[7] T. Evans, “Embeddability and the word problem”, J. London Math. Soc., 28:1 (1953), 76–80 | DOI | MR | Zbl

[8] A. I. Maltsev, “Kvaziprimitivnye klassy abstraktnykh algebr”, Dokl. AN SSSR, 108:2 (1956), 187–189 | MR