Strong Normalization for System F by HOAS on Top of FOAS

We present a point of view concerning HOAS(Higher-Order Abstract Syntax) and an extensive exercise in HOAS along this point of view. The point of view is that HOAS can be soundly and fruitfully regarded as a definitional extension on top of FOAS (First-Order Abstract Syntax). As such, HOAS is not on...

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Bibliographic Details
Published in2010 25th Annual IEEE Symposium on Logic in Computer Science pp. 31 - 40
Main Authors Popescu, A, Gunter, E L, Osborn, C J
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.07.2010
Subjects
Cognition
Construction industry
Context
Encoding
Equations
Higher-Order Abstract Syntax
Isabelle/HOL
Syntactics
System F
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Summary:We present a point of view concerning HOAS(Higher-Order Abstract Syntax) and an extensive exercise in HOAS along this point of view. The point of view is that HOAS can be soundly and fruitfully regarded as a definitional extension on top of FOAS (First-Order Abstract Syntax). As such, HOAS is not only an encoding technique, but also a higher-order view of a first-order reality. A rich collection of concepts and proof principles is developed inside the standard mathematical universe to give technical life to this point of view. The exercise consists of a new proof of Strong Normalization for System F. The concepts and results presented here have been formalized in the theorem prover Isabelle/HOL.
ISBN:9781424475889
1424475880
ISSN:1043-6871
2575-5528
DOI:10.1109/LICS.2010.48