Technical Reports (CIS)
Document Type
Technical Report
Subject Area
GRASP
Date of this Version
April 1993
Abstract
In these notes, we prove some general theorems for establishing properties of untyped λ-terms, using a variant of the reducibility method. These theorems apply to (pure) λ-terms typable in the systems of conjunctive types DΩ and D. As applications, we give simple proofs of the characterizations of the terms having head-normal forms, of the normalizable terms, and of the strongly normalizing terms. We also give a characterization of the terms having weak head-normal forms. This last result appears to be new.
Recommended Citation
Jean H. Gallier, "Reducibility Strikes Again, I!", . April 1993.
Date Posted: 13 July 2007
Comments
University of Pennsylvania Department of Computer and Information Science Technical Report No. MS-CIS-93-49.