| Alternate document: Details A New Method for Undecidability Proofs of First Order Theories (92) Ralf Treinen |
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Abstract: this paper is to define a framework for such reduction
proofs. The method proposed is illustrated by proving the undecidability of the theory of
a term algebra modulo the axioms of associativity and commutativity and of the theory
of a partial lexicographic path ordering (Update)
Context of citations to this paper: More
...of a formula is the number of alternations of quanti ers in the prenex form. On the undecidability side of the border it was proved in [T90] and [T92] that the 3 part the theory is undecidable (this part contains the formulae whose quanti er pre x is of the form 9 8 9...
...even in the structure of finite feature trees. Our proof is based on an encoding of the Post Correspondence Problem using a technique of [33]. Once the undecidability of the first order theory of FT is settled, it remains to distinguish decidable fragments and their...
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On Equality Up-to Constraints over Finite Trees, Context .. - Niehren, Pinkal..
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The First-Order Theory of Ordering Constraints over Feature .. - Müller, Niehren, Treinen
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1.3: A New Method for Undecidability Proofs of First Order Theories - Treinen (1992)
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0.3: The First-Order Theory of Lexicographic Path Orderings is.. - Comon, Treinen (1997)
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16: Rewrite systems
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BibTeX entry: (Update)
R. Treinen. A new method for undecidability proofs of first order theories. Journal of Symbolic Computation, 14(5):437--458, November 1992. http://citeseer.ist.psu.edu/treinen92new.html More
@inproceedings{ treinen90new,
author = "Ralf Treinen",
title = "A New Method for Undecidability Proofs of First Order Theories",
booktitle = "Proceedings of the Tenth Conference on Foundations of Software Technology and Theoretical Computer Science",
volume = "472",
publisher = "Springer-Verlag",
editor = "K. V. Nori and C. E. Veni Madhavan",
pages = "48--62",
year = "1990",
url = "citeseer.ist.psu.edu/treinen92new.html" }
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Documents on the same site (http://www.ps.uni-sb.de/Papers/abstracts/): More
Set-Based Failure Analysis for Logic Programs and.. - Podelski, Charatonik, .. (1999)
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Type Inference for First-Class Messages with Feature Constraints - Müller, Nishimura
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Entailment of Non-Structural Subtype Constraints - Niehren, Priesnitz (1999)
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