Cut-Elimination in the Strict Intersection Type Assignment System is Strongly Normalizing

Abstract
This paper defines reduction on derivations (cut-elimination) in the Strict Intersection Type Assignment System of an earlier paper and shows a strong normalization result for this reduction. Using this result, new proofs are given for the approximation theorem and the characterization of normalizability of terms using intersection types
Keywords intersection types   lambda calculus   termination   cut-elimination
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DOI 10.1305/ndjfl/1094155278
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