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The decision problem for branching time logic1,2

Published online by Cambridge University Press:  12 March 2014

Yuri Gurevich and
Saharon Shelah
Yuri Gurevich
Affiliation:
Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, Michigan 48109
Saharon Shelah
Affiliation:
Institute of Mathematics, The Hebrew University, Jerusalem 91904, Israel
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Abstract

The theory of trees with additional unary predicates and quantification over nodes and branches embraces a rich branching time logic. This theory was reduced in the companion paper to the first-order theory of binary, bounded, well-founded trees with additional unary predicates. Here we prove the decidability of the latter theory.

Information

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 50 , Issue 3 , September 1985, pp. 668 - 681
Copyright
Copyright © Association for Symbolic Logic 1985

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Footnotes

1

The results were obtained in principle during the Jerusalem Logic Year 1980–81 when both authors were fellows in the Institute for Advanced Studies of Hebrew University.

2

Supported in part by the US-Israel Binational Science Foundation.

References

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