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Short proofs of tautologies using the schema of equivalence

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Computer Science Logic (CSL 1993)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 832))

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Abstract

It is shown how the schema of equivalence can be used to obtain short proofs of tautologies A, where the depth of proofs is linear in the number of variables in A.

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References

  • Krajíček, J. and P. Pudlák. [1988] The number of proof lines and the size of proofs in first order logic. Arch. Math. Logic, 27, 69–84.

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  • Schütte, K. [1960] Beweistheorie. Springer, Berlin.

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  • Yukami, T. [1984] Some results on speed-up. Ann. Japan Assoc. Philos. Sci., 6, 195–205.

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Author information

Authors and Affiliations

  1. Institut für Algebra und diskrete Mathematik E118.2, Technische Universität Wien, Wiedner Hauptstraße 8-10, A-1040, Wien, Austria

    Matthias Baaz

  2. Institut für Computersprachen E185.2, Technische Universität Wien, Resselgasse 3/1, A-1040, Wien, Austria

    Richard Zach

Authors
  1. Matthias Baaz
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  2. Richard Zach
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Editor information

Egon Börger Yuri Gurevich Karl Meinke

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© 1994 Springer-Verlag Berlin Heidelberg

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Baaz, M., Zach, R. (1994). Short proofs of tautologies using the schema of equivalence. In: Börger, E., Gurevich, Y., Meinke, K. (eds) Computer Science Logic. CSL 1993. Lecture Notes in Computer Science, vol 832. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0049322

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  • DOI: https://doi.org/10.1007/BFb0049322

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-58277-9

  • Online ISBN: 978-3-540-48599-5

  • eBook Packages: Springer Book Archive

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