Logic of Proofs with Substitution
Matematičeskie zametki, Tome 82 (2007) no. 6, pp. 905-915

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The substitution operation in logic of proofs is axiomatized. For the system constructed, symbolic semantics is introduced and a completeness theorem is proved.
Keywords: logic of proofs, axiomatics of substitution, symbolic semantic, symbolic model, finitely generated reflexive model, internalization.
Mots-clés : tableau of labels, semantic tableau
@article{MZM_2007_82_6_a10,
     author = {N. M. Rubtsova},
     title = {Logic of {Proofs} with {Substitution}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {905--915},
     publisher = {mathdoc},
     volume = {82},
     number = {6},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2007_82_6_a10/}
}
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N. M. Rubtsova. Logic of Proofs with Substitution. Matematičeskie zametki, Tome 82 (2007) no. 6, pp. 905-915. http://geodesic.mathdoc.fr/item/MZM_2007_82_6_a10/