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Model Existence for Higher Order Logic (2000)  (Make Corrections)  (1 citation)
Christoph Benzmüller, Michael Kohlhase



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Abstract: In this paper we provide a semantical meta-theory that will support the development of higher-order calculi for automated theorem proving like the corresponding methodology has in rst-order logic. To reach this goal, we establish classes of models that adequately characterize the existing theorem-proving calculi and we present a standard methodology of abstract consistency methods (by providing the necessary model existence theorems) needed to analyze completeness of machine-oriented calculi... (Update)

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BibTeX entry:   (Update)

Christoph Benzmuller and Michael Kohlhase. Model existence for higher-order logic. SEKIReport SR-97-09, Universitat des Saarlandes, 1997. http://citeseer.ist.psu.edu/benzmuller00model.html   More

@misc{ benzmuller97model,
  author = "C. Benzmuller and M. Kohlhase",
  title = "Model existence for higher-order logic",
  text = "Christoph Benzmuller and Michael Kohlhase. Model existence for higher-order
    logic. SEKIReport SR-97-09, Universitat des Saarlandes, 1997.",
  year = "1997",
  url = "citeseer.ist.psu.edu/benzmuller00model.html" }
Citations (may not include all citations):
322   First-Order Logic and Automated Theorem Proving (context) - Fitting - 1990
251   A logic programming language with lambda-abstraction - Miller - 1991
235   First-Order Logic (context) - Smullyan - 1968
151   An Introduction to Mathematical Logic and Type Theory: To Tr.. (context) - Andrews - 1986
101   Higher-order logic programming - Nadathur, Miller - 1994
86   Completeness in the theory of types (context) - Henkin - 1950
72   North Holland (context) - Takeuti - 1987
52   TPS: A theorem proving system for classical type theory - Andrews, Bishop et al. - 1996
42   Resolution in type theory (context) - Andrews - 1971
28   Proofs in Higher-Order Logic (context) - Miller - 1983
27   Constrained Resolution: A Complete Method for Higher Order L.. (context) - erard, Huet - 1972
27   Automating higher order logics (context) - Andrews, Longini-Cohen et al. - 1984
24   A Mechanization of Sorted Higher-Order Logic Based on the Re.. (context) - Kohlhase - 1994
23   Its Syntax and Semantics (context) - Barendregt, Calculus - 1984
22   Theoretical Computer Science (context) - Wolfram, for - 1994

[Article contains additional citations not shown here]

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