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On the termination of Russell’s description elimination algorithm. (English) Zbl 1252.03004

Summary: In this paper we study the termination behavior of Russell’s description elimination rewrite system. We discuss certain claims made by S. Kripke in his paper [“Russel’s notion of scope”, Mind 114, 1005–1037 (2005; doi:10.1093/mind/fzi1005)] concerning the possible nontermination of elimination of descriptions.

MSC:

03-03 History of mathematical logic and foundations
03A05 Philosophical and critical aspects of logic and foundations
68Q42 Grammars and rewriting systems
Full Text: DOI

References:

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