We provide a natural formulation of the sequent calculus with equality and establish the cut elimination theorem. We also briefly outline and comment on its application to the logic of partial terms, when "existence" is formulated as equality with a (bound) variable. © 2013 Springer-Verlag Berlin Heidelberg.
CITATION STYLE
Parlamento, F., & Previale, F. (2013). Cut elimination for gentzen’s sequent calculus with equality and logic of partial terms. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 7750 LNCS, pp. 161–172). Springer Verlag. https://doi.org/10.1007/978-3-642-36039-8_15
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