On lexicographic termination ordering with space bound certifications
Identifieur interne : 009436 ( Main/Merge ); précédent : 009435; suivant : 009437On lexicographic termination ordering with space bound certifications
Auteurs : Guillaume Bonfante ; Jean-Yves Marion ; Jean-Yves MoyenSource :
English descriptors
Abstract
We propose a method to analyse the program space complexity, based on termination orderings. This method can be implemented to certify the runspace of programs. We demonstrate that the class of functions computed by first order functional programs over free algebras which terminate by Lexicographic Path Ordering and admit a polynomial quasi-interpretation, is exactly the class of functions computable in polynomial space.
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<author><name sortKey="Marion, Jean Yves" sort="Marion, Jean Yves" uniqKey="Marion J" first="Jean-Yves" last="Marion">Jean-Yves Marion</name>
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<author><name sortKey="Moyen, Jean Yves" sort="Moyen, Jean Yves" uniqKey="Moyen J" first="Jean-Yves" last="Moyen">Jean-Yves Moyen</name>
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<profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>lexicographic path ordering</term>
<term>polynomial space certification</term>
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<front><div type="abstract" xml:lang="en" wicri:score="1436">We propose a method to analyse the program space complexity, based on termination orderings. This method can be implemented to certify the runspace of programs. We demonstrate that the class of functions computed by first order functional programs over free algebras which terminate by Lexicographic Path Ordering and admit a polynomial quasi-interpretation, is exactly the class of functions computable in polynomial space.</div>
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