Abstract
Walicki and Meldal have defined a calculus DEQ (“Disjunctive EQuational calculus”) for reasoning about nondeterministic operators when specifying nondeterministic systems in an equation-oriented style.
A variant of DEQ, the calculus DEQ * for axiomatic equality theories with cut-like rules introducing as cut formulas only the negative equalities of a specific axiom, is constructed. For pure positive specific axioms (i.e. with empty antecedents) and for so called non-contrary equality theories DEQ * does not contain cut-like rules at all. The variant of the calculus DEQ * without structural rules of contraction and exchange is constructed. A simple cut-elimination procedure for axiomatic equality theories is presented.
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© 1994 Springer-Verlag Berlin Heidelberg
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Pliuškevičienė, A., Pliuškevičius, R., Walicki, M., Meldal, S. (1994). On specialization of derivations in axiomatic equality theories. In: Nerode, A., Matiyasevich, Y.V. (eds) Logical Foundations of Computer Science. LFCS 1994. Lecture Notes in Computer Science, vol 813. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-58140-5_28
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DOI: https://doi.org/10.1007/3-540-58140-5_28
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