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Definitional reflection and the completion

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (1994) 798 LNAI 322-347
DOI: 10.1007/3-540-58025-5_65
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Abstract

The logic of definitional reflection is extended with a theory of free equality. Based on this equality theory a sequent-style notion of the completion of a definition is motivated. Definitional reflection with free equality turns out to be equivalent to the completion in this sense.

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Schroeder-Heister, P. (1994). Definitional reflection and the completion. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 798 LNAI, pp. 322–347). Springer Verlag. https://doi.org/10.1007/3-540-58025-5_65

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