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  Some characteristics of strong innermost normalization

Krishna Rao, M. R. K. (1996). Some characteristics of strong innermost normalization. In M. Wirsing, & M. Nivat (Eds.), Algebraic Methodology and Software Technology, 5th International Conference, AMAST '96 (pp. 406-420). Berlin, Germany: Springer.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0014-AC0E-7 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0014-AC0F-5
Genre: Conference Paper

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 Creators:
Krishna Rao, M. R. K.1, Author           
Affiliations:
1Programming Logics, MPI for Informatics, Max Planck Society, ou_40045              

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 Abstract: A term rewriting system is {\em strongly innermost normalizing } if every innermost derivation of it is of finite length. This property is very important in the integration of functional and logic programming paradigms. Unlike termination, strong innermost normalization is not preserved under subsystems, i.e., every subsystem of a strongly innermost normalizing need not be strongly innermost normalizing. Preservation of a property under subsystems is important in analyzing systems in a modular fashion. In this paper, we identify a few classes of {\trs}s which enjoy this property. These classes are of particular interest in studying modularity of composable and hierarchical combinations. It is also proved that the choice of the innermost redex to be reduced at any step has no bearing on termination (finiteness) of innermost derivations. It may be noted that such selection invariance does not hold for outermost derivations. The proof techniques used are novel and involve oracle based reasoning --which is very sparsely used in the rewriting literature.

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Language(s): eng - English
 Dates: 2010-03-121996
 Publication Status: Issued
 Pages: -
 Publishing info: Berlin, Germany : Springer
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 519532
Other: Local-ID: C1256104005ECAFC-6659CFEDC98EAEACC12564180045AE54-KrishnaRao96e
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Title: Untitled Event
Place of Event: Munich, Germany
Start-/End Date: 1996

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Title: Algebraic Methodology and Software Technology, 5th International Conference, AMAST '96
Source Genre: Proceedings
 Creator(s):
Wirsing, Martin, Editor
Nivat, Maurice1, Editor           
Affiliations:
1 Programming Logics, MPI for Informatics, Max Planck Society, ou_40045            
Publ. Info: Berlin, Germany : Springer
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 406 - 420 Identifier: ISBN: 3-540-61463-X

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Title: Lecture Notes in Computer Science
Source Genre: Series
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