Formalizing Monotone Algebras for Certification of Termination and Complexity Proofs?
Abstract. Monotone algebras are frequently used to generate reduction orders in automated termination and complexity proofs. To be able to certify these proofs, we formalized several kinds of interpretations in the proof assistant Isabelle/HOL. We report on our integration of matrix interpretations,...
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ftciteseerx:oai:CiteSeerX.psu:10.1.1.475.2781 2023-05-15T14:54:39+02:00 Formalizing Monotone Algebras for Certification of Termination and Complexity Proofs? Christian Sternagel Rene ́ Thiemann The Pennsylvania State University CiteSeerX Archives application/pdf http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.475.2781 http://cl-informatik.uibk.ac.at/users/thiemann/paper/RTA14Interpretations.pdf en eng http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.475.2781 http://cl-informatik.uibk.ac.at/users/thiemann/paper/RTA14Interpretations.pdf Metadata may be used without restrictions as long as the oai identifier remains attached to it. http://cl-informatik.uibk.ac.at/users/thiemann/paper/RTA14Interpretations.pdf text ftciteseerx 2016-01-08T07:32:43Z Abstract. Monotone algebras are frequently used to generate reduction orders in automated termination and complexity proofs. To be able to certify these proofs, we formalized several kinds of interpretations in the proof assistant Isabelle/HOL. We report on our integration of matrix interpretations, arctic interpretations, and nonlinear polynomial inter-pretations over various domains, including the reals. 1 Text Arctic Unknown Arctic |
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English |
description |
Abstract. Monotone algebras are frequently used to generate reduction orders in automated termination and complexity proofs. To be able to certify these proofs, we formalized several kinds of interpretations in the proof assistant Isabelle/HOL. We report on our integration of matrix interpretations, arctic interpretations, and nonlinear polynomial inter-pretations over various domains, including the reals. 1 |
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The Pennsylvania State University CiteSeerX Archives |
format |
Text |
author |
Christian Sternagel Rene ́ Thiemann |
spellingShingle |
Christian Sternagel Rene ́ Thiemann Formalizing Monotone Algebras for Certification of Termination and Complexity Proofs? |
author_facet |
Christian Sternagel Rene ́ Thiemann |
author_sort |
Christian Sternagel |
title |
Formalizing Monotone Algebras for Certification of Termination and Complexity Proofs? |
title_short |
Formalizing Monotone Algebras for Certification of Termination and Complexity Proofs? |
title_full |
Formalizing Monotone Algebras for Certification of Termination and Complexity Proofs? |
title_fullStr |
Formalizing Monotone Algebras for Certification of Termination and Complexity Proofs? |
title_full_unstemmed |
Formalizing Monotone Algebras for Certification of Termination and Complexity Proofs? |
title_sort |
formalizing monotone algebras for certification of termination and complexity proofs? |
url |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.475.2781 http://cl-informatik.uibk.ac.at/users/thiemann/paper/RTA14Interpretations.pdf |
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Arctic |
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Arctic |
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Arctic |
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Arctic |
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http://cl-informatik.uibk.ac.at/users/thiemann/paper/RTA14Interpretations.pdf |
op_relation |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.475.2781 http://cl-informatik.uibk.ac.at/users/thiemann/paper/RTA14Interpretations.pdf |
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Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
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1766326408748990464 |