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On the recursive decomposition ordering with lexicographical status and other related orderings

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Publication:912609
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DOI10.1007/BF00302640zbMath0698.68031MaRDI QIDQ912609

Pierre Lescanne

Publication date: 1990

Published in: Journal of Automated Reasoning (Search for Journal in Brave)


zbMATH Keywords

terminationterm rewriting systemswell-foundedness


Mathematics Subject Classification ID

Abstract data types; algebraic specification (68Q65) Ordered sets (06A99) Thue and Post systems, etc. (03D03)


Related Items

A path ordering for proving termination of AC rewrite systems ⋮ Topics in termination ⋮ An improved general path order ⋮ Jumping and escaping: modular termination and the abstract path ordering ⋮ Practical algorithms for deciding path ordering constraint satisfaction. ⋮ What's so special about Kruskal's theorem and the ordinal \(\Gamma{}_ 0\)? A survey of some results in proof theory ⋮ Natural termination ⋮ Simplification orderings: Putting them to the test ⋮ Proving termination of (conditional) rewrite systems. A semantic approach


Uses Software

  • RRL
  • REVE


Cites Work

  • Orderings for term-rewriting systems
  • Termination of rewriting
  • Path of subterms ordering and recursive decomposition ordering revisited
  • On folk theorems
  • Ordering by Divisibility in Abstract Algebras
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