Skip to Main content Skip to Navigation
Reports

A Semantic Normalization Proof for Inductive Types

Lisa Allali 1 Paul Brauner 2
2 PAREO - Formal islands: foundations and applications
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : Semantics methods have been used to prove cut elimination theorems for a long time. It is only recently that they have been extended to prove strong normalization results. For instance using the notion of super-consistency that is a semantic criterion for theories expressed in deduction modulo implying strong normalization. However, the strong normalization of System T has always been reluctant to such semantic methods. In this paper we give a semantic normalization proof of system T using the super consistency of some theory. We then extend the result to every strictly positive inductive type and discuss the extension to predicate logic.
Document type :
Reports
Complete list of metadata

Cited literature [30 references]  Display  Hide  Download

https://hal.inria.fr/inria-00280410
Contributor : Brauner Paul <>
Submitted on : Monday, May 19, 2008 - 1:55:39 PM
Last modification on : Friday, February 26, 2021 - 3:28:08 PM
Long-term archiving on: : Friday, November 25, 2016 - 9:58:45 PM

File

paper.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : inria-00280410, version 2

Collections

Citation

Lisa Allali, Paul Brauner. A Semantic Normalization Proof for Inductive Types. [Research Report] 2008, pp.21. ⟨inria-00280410v2⟩

Share

Metrics

Record views

362

Files downloads

165