Diophantine geometry over groups IV: AN iterative procedure for validation of a sentence

Z. Sela

doi:10.1007/BF02803494

Diophantine geometry over groups IV: AN iterative procedure for validation of a sentence

Z. Sela^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

36 Scopus citations

Abstract

This paper is the fourth in a series on the structure of sets of solutions to systems of equations in a free group, projections of such sets, and the structure of elementary sets defined over a free group. In the fourth paper we present an iterative procedure that validates the correctness of an AE sentence defined over a free group. The terminating procedure presented in this paper is the basis for our analysis of elementary sets defined over a free group presented in the next papers in the series.

Original language	English
Pages (from-to)	1-130
Number of pages	130
Journal	Israel Journal of Mathematics
Volume	143
DOIs	https://doi.org/10.1007/BF02803494
State	Published - 2004

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10.1007/BF02803494

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abstract = "This paper is the fourth in a series on the structure of sets of solutions to systems of equations in a free group, projections of such sets, and the structure of elementary sets defined over a free group. In the fourth paper we present an iterative procedure that validates the correctness of an AE sentence defined over a free group. The terminating procedure presented in this paper is the basis for our analysis of elementary sets defined over a free group presented in the next papers in the series.",

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AB - This paper is the fourth in a series on the structure of sets of solutions to systems of equations in a free group, projections of such sets, and the structure of elementary sets defined over a free group. In the fourth paper we present an iterative procedure that validates the correctness of an AE sentence defined over a free group. The terminating procedure presented in this paper is the basis for our analysis of elementary sets defined over a free group presented in the next papers in the series.

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Diophantine geometry over groups IV: AN iterative procedure for validation of a sentence

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