1995 | OriginalPaper | Chapter
Strong normalization for subsystems of λ2 βηπ✻
Author : Roberto Di Cosmo
Published in: Isomorphisms of Types
Publisher: Birkhäuser Boston
Included in: Professional Book Archive
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Our proof of confluence in Theorem 2.4.5 relies upon the strong normalization of $$\beta \underrightarrow {{\eta ^2}\pi * }$$ over the set of gentop normal forms, while we need the strong normalization of $$\beta \underrightarrow {^2{\eta ^2}\pi * }$$ less η top and SP top over the full set of terms in order to provide an effective weakly normalizing strategy for $$\beta \underrightarrow {^2{\eta ^2}\pi * }$$ in Theorem 2.5.2.