(Enter summary)
Abstract: . Even though higher-order calculi for automated theorem proving
are rather old, tableau calculi have not been investigated yet. This
paper presents two free variable tableau calculi for higher-order logic
that use higher-order unification as the key inference procedure. These
calculi differ in the treatment of the substitutional properties of equivalences.
The first calculus is equivalent in deductive power to the machineoriented
higher-order refutation calculi known from the literature,... (Update)
Context of citations to this paper: More
...completeness. As a consequence, the calculi developed for higher order automated theorem proving [And71, Hue72, Hue73, JP72, Mil83, Koh94b, Koh95] and the corresponding theorem proving systems such as Tps [ABI 96] or earlier versions of the authors Leo 1 are not or cannot be...
.... Func analogously reflects functional extensionality: if two functions are not equal then there exists an argument s ff on which 9 [Koh95] presents a tableaux calculus analogous to HORES that aims to reach Henkin completeness without extensionality by adding rule Equiv. But...
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BibTeX entry: (Update)
Michael Kohlhase. Higher-order tableaux. In Proceedings of the Tableau Workshop, pages 294--309, Koblenz, Germany, 1995. http://citeseer.ist.psu.edu/article/kohlhase95higherorder.html More
@inproceedings{ kohlhase95higherorder,
author = "Michael Kohlhase",
title = "Higher-Order Tableaux",
booktitle = "Analytic Tableaux and Related Methods",
pages = "294-309",
year = "1995",
url = "citeseer.ist.psu.edu/article/kohlhase95higherorder.html" }
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