Proving the genericity lemma by leftmost reduction is simple

Jan Kuper; J. Hsiang

doi:10.1007/3-540-59200-8_63

Proving the genericity lemma by leftmost reduction is simple

Jan Kuper, J. Hsiang (Editor)

Research output: Contribution to conference › Paper › peer-review

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Abstract

The Genericity Lemma is one of the most important motivations to take in the untyped lambda calculus the notion of solvability as a formal representation of the informal notion of undefinedness. We generalise solvability towards typed lambda calculi, and we call this generalisation: usability. We then prove the Genericity Lemma for un-usable terms. The technique of the proof is based on leftmost reduction, which strongly simplifies the standard proof.

Original language	Undefined
Pages	271-278
Number of pages	8
DOIs	https://doi.org/10.1007/3-540-59200-8_63
Publication status	Published - Apr 1995
Event	Rewriting Techniques and Applications - Kaiserslautern, Germany Duration: 5 Apr 1995 → 7 Apr 1995

Conference

Conference	Rewriting Techniques and Applications
Period	5/04/95 → 7/04/95
Other	5-7 April 1995

Keywords

EWI-11088
IR-61924

Access to Document

10.1007/3-540-59200-8_63

RTA95

Cite this

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abstract = "The Genericity Lemma is one of the most important motivations to take in the untyped lambda calculus the notion of solvability as a formal representation of the informal notion of undefinedness. We generalise solvability towards typed lambda calculi, and we call this generalisation: usability. We then prove the Genericity Lemma for un-usable terms. The technique of the proof is based on leftmost reduction, which strongly simplifies the standard proof.",

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