Talking about free groups in naturally enriched languages
作者:
Verena Huber-Dyson,
期刊:
Communications in Algebra
(Taylor Available online 1977)
卷期:
Volume 5,
issue 11
页码: 1163-1191
ISSN:0092-7872
年代: 1977
DOI:10.1080/00927877708822214
出版商: Marcel Dekker, Inc.
数据来源: Taylor
摘要:
The elementary theory of a non-commutative free group with a predicate for equality of length is proved hereditarily undecidable. This theory is shown to be ‘finitely axiomatizable’ modulo the second order stipulation that some centralizer be free cyclic. The theory of free groups in a weaker language using only a predecessor concept is investigated in the hope of shedding some light on Tarski's problems.
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