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Journals ACM SIGCSE Bulletin Volume 41 Issue 2

We present a programming approach to teach the reduction technique in a computing engineering degree's Computability Theory course. It is based in a computing formalism that allows the students to analyze, construct and transform programs as normal data in a simple way. Reduction can then be tackled in a constructive manner, so that the students benefit from their programming skills to prove uncomputability results without the help of the Parametrization (S-m-n) Theorem. Additionally the method is suitable to be applied to interesting problems that cannot be handled by diagonalization nor classical reduction.

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Constructive reduction: understanding uncomputability through programming

Ibáñez, Jesús; Sánchez, Ana
ACM SIGCSE Bulletin , Volume 41 (2)
Association for Computing Machinery – Jun 25, 2009

More Info
  • Publisher Association for Computing Machinery
  • Copyright The ACM Portal is published by the Association for Computing Machinery. Copyright © 2010 ACM, Inc.
  • Subject Curriculum
  • ISSN 0097-8418
  • D.O.I. 10.1145/1595453.1595482
  • Publisher site Get PDF  

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