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A syntactic connection between proof procedures and refutation procedures

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 48))

Abstract

It is constructively shown that there is a common improvement of both proof procedures and refutation procedures.

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References

  1. Bibel, W.: An approach to a systematic theorem proving procedure in first-order logic. Computing 12, 43–55 (1974).

    Google Scholar 

  2. Bibel, W.: Effizienzvergleiche von Beweisprozeduren. GI '74, Lect. Notes Comp. Sci. 26, 153–160 (1975).

    Google Scholar 

  3. Bibel, W. and Schreiber, J.: Proof search in a Gentzen-like system of first-order logic. Proc. Int. Comp. Symp. (ICS'75), North-Holland, 205–212 (1975).

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  4. Bibel, W.: Maschinelles Beweisen. Jahrbuch Überblicke Mathematik, B. Fuchssteiner, U. Kulisch, D. Langwitz, R. Liedl (eds.), BI Wissenschaftsverlag, 115–142 (1976).

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  5. Bledsoe, W.W. and Tyson, M.: The U.T. Interactive Prover. Memo ATP-17, Math. Dept., Univ. Texas, Austin (1975).

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  6. Chang, C.-L. and Lee, R.C.-T.: Symbolic Logic and mechanical theorem proving. Academic Press (1973).

    Google Scholar 

  7. Joyner, W.H., Jr.: A resolution analogue to the Herbrand theorem. Presented at the conference on Automatic Theorem Proving, Oberwolfach (1976).

    Google Scholar 

  8. Overbeek, R.: An approach to the implementation of theorem proving systems. Presented at the conference on Automatic Theorem Proving, Oberwolfach (1976).

    Google Scholar 

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© 1977 Springer-Verlag Berlin Heidelberg

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Bibel, W. (1977). A syntactic connection between proof procedures and refutation procedures. In: Theoretical Computer Science. Lecture Notes in Computer Science, vol 48. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-08138-0_19

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  • DOI: https://doi.org/10.1007/3-540-08138-0_19

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08138-8

  • Online ISBN: 978-3-540-37389-6

  • eBook Packages: Springer Book Archive

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