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TPS: A Theorem Proving System for Classical Type Theory (1994)  (Make Corrections)  (52 citations)
Peter B. Andrews, Matthew Bishop, Sunil Issar, Dan Nesmith, Frank Pfenning, Hongwei Xi



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Abstract: This is a description of TPS, a theorem proving system for classical type theory (Church's typed l-calculus). TPS has been designed to be a general research tool for manipulating wffs of first- and higher-order logic, and searching for proofs of such wffs interactively or automatically, or in a combination of these modes. An important feature of TPS is the ability to translate between expansion proofs and natural deduction proofs. Examples of theorems which TPS can prove completely... (Update)

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Ants { An open approach at combining - Interactive And Automated (2001)   (Correct)
Integrating Tps - Christoph Benzm Uller (1999)   (Correct)
Non-trivial Symbolic Computations in Proof - Planning Volker Sorge (2000)   (Correct)

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23:   An Introduction to Mathematical Logic and Type Theory: To Truth through Proof (context) - Andrews - 1986
15:   A formulation of the simple theory of types (context) - Church - 1940
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BibTeX entry:   (Update)

Peter B. Andrews, Matthew Bishop, Sunil Issar, Dan Nesmith, Frank Pfenning, and Hongwei Xi. TPS: A theorem proving system for classical type theory. Technical Report 94--166, Department of Mathematics, Carnegie Mellon University, 1994. http://citeseer.ist.psu.edu/article/andrews94tps.html   More

@misc{ andrews94tps,
  author = "P. Andrews and M. Bishop and S. Issar and D. Nesmith and F. Pfenning and
    H. Xi",
  title = "TPS: A theorem proving system for classical type theory",
  text = "Peter B. Andrews, Matthew Bishop, Sunil Issar, Dan Nesmith, Frank Pfenning,
    and Hongwei Xi. TPS: A theorem proving system for classical type theory.
    Technical Report 94--166, Department of Mathematics, Carnegie Mellon University,
    1994.",
  year = "1994",
  url = "citeseer.ist.psu.edu/article/andrews94tps.html" }
Citations (may not include all citations):
151   An Introduction to Mathematical Logic and Type Theory: To Tr.. (context) - Andrews - 1986
73   Theorem Proving via General Matings (context) - Andrews - 1981
42   Resolution in Type Theory (context) - Andrews - 1971
30   Transforming Matings into Natural Deduction Proofs (context) - Andrews - 1980
27   Automating HigherOrder Logic (context) - Andrews, Miller et al. - 1984
20   On Connections and Higher-Order Logic (context) - Andrews
1   IEEE Transactions on Computers C (context) - Andrews, Matings - 1976
1   Zeitschrift fur Mathematische Logic und Grundlagen der Mathe.. (context) - Andrews, Elementary et al. - 1974



The graph only includes citing articles where the year of publication is known.


Documents on the same site (http://gtps.math.cmu.edu/andrews.html):   More
On Sets, Types, Fixed Points, and Checkerboards - Andrews, Bishop   (Correct)
System Description: TPS: A Theorem Proving System for Type.. - Andrews, Bishop, Brown (2000)   (Correct)
Classical Type Theory - Andrews (2001)   (Correct)

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