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Proof Documents for Automated Origami Theorem Proving

  • Fadoua Ghourabi
  • Tetsuo Ida
  • Asem Kasem
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6877)

Abstract

A proof document for origami theorem proving is a record of entire process of reasoning about origami construction and theorem proving. It is produced at the completion of origami theorem proving as a kind of proof certificate. It describes in detail how the whole process of an origami construction and the subsequent theorem proving are carried out in our computational origami system. In particular, it describes logical and algebraic transformations of the prescription of origami construction into mathematical models that in turn become amenable to computation and verification. The structure of the proof document is detailed using an illustrative example that reveals the importance of such a document in the analysis of origami construction and theorem proving.

Keywords

Theorem Prove Algebraic Expression Proof Assistant Automate Theorem Prove Algebraic Transformation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Fadoua Ghourabi
    • 1
  • Tetsuo Ida
    • 1
  • Asem Kasem
    • 2
  1. 1.Department of Computer ScienceUniversity of TsukubaTsukubaJapan
  2. 2.Faculty of Informatics and Communications EngineeringYarmouk Private UniversityDaraaSyria

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