Skip to main content

PROOF-PAD An Interactive Proof Generating System Using Natural Deduction

  • Conference paper
Österreichische Artificial Intelligence-Tagung

Part of the book series: Informatik-Fachberichte ((2252,volume 106))

Abstract

This paper describes the principal features of a man-machine theorem proving system using natural deduction which is designed and implemented at the University of Linz. Special emphasis is laid on the machine representation of proofs by AND/OR-trees and on their manipulation during the proof process. An example of a dialogue with the system shows the suitability of natural deduction for supporting practical mathematical reasoning.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Beth E.W. (1962): Formal Methods. Reidel, Dordrecht-Holland.

    MATH  Google Scholar 

  • Bledsoe W.W., Tyson M. (1975): The UT Interactive Theorem Prover. The University of Texas at Austin, Math. Dept. Memo ATP-17.

    Google Scholar 

  • Bledsoe W.W. (1977): Non-resolution Theorem Proving. In: Artificial Intelligence 9, 1–35.

    Google Scholar 

  • Buchberger B., Lichtenberger F. (1981): Mathematik für Informatiker I, Die Methode der Mathematik. 2. Auflage, Springer-Verlag Berlin Heidelberg New York.

    Book  MATH  Google Scholar 

  • Gentzen G. (1935): Untersuchungen über das logische Schließen I. Ín: Math. Zeitschrift 39, 176–210.

    Article  MathSciNet  Google Scholar 

  • Marti J.B., Hearn A.C. Griss M.L., Griss C. (1978): Standard Lisp Report. First revision, University of Utah UCP-60, Salt Lake City.

    Google Scholar 

  • Weyrauch R.W. (1980): Prolegomena to a Theory of Mechanized Formal Reasoning. In: Artificial Intelligence 13, 133–170.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1985 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Henzinger, T.A., Hofbauer, H. (1985). PROOF-PAD An Interactive Proof Generating System Using Natural Deduction. In: Trost, H., Retti, J. (eds) Österreichische Artificial Intelligence-Tagung. Informatik-Fachberichte, vol 106. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46552-9_20

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-46552-9_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15695-6

  • Online ISBN: 978-3-642-46552-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics