Termination and confluence in infinitary term rewriting

Journal of Symbolic Logic 63 (4):1286-1296 (1998)
Abstract
The basic notions of the theory of term rewriting are defined for terms that may involve function letters of infinite arity. A sufficient condition for completeness is derived, and its use demonstrated by the example of abstract clones over infinitary signatures
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DOI 10.2307/2586651
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