地面交流理论中的统一性问题

P. Narendran, M. Rusinowitch
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引用次数: 8

摘要

证明了由一组具有若干联想-交流符号的基础方程所表示的理论(基础交流理论)的统一性是可判定的。例如,这个结果适用于有限表示的交换半群,并且扩展了作者以前的工作(P. Narendran和M. Rusinwithch, 1991),在那里他们给出了解决接地AC理论中的一致字问题的算法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
The unifiability problem in ground AC theories
It is shown that unifiability is decidable in theories presented by a set of ground equations with several associative-communicative symbols (ground AC theories). This result applies, for instance, to finitely presented commutative semigroups, and it extends the authors' previous work (P. Narendran and M. Rusinwithch, 1991) where they gave an algorithm for solving the uniform word problem in ground AC theories.<>
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