Undecidable varieties with solvable word problems - II
Copyright policy )Undecidable varieties with solvable word problems - II
The authors present recursively based varieties of the types (2,1,0), (2,1), (2,0,0) and (2,0) with solvable word problems having undecidable equational theories. The undecidability of equational theory implies the unsolvability of the global word problem. Examples of varieties having this property were presented in the paper of \textit{A. Mekler, E. Nelson} and \textit{S. Shelah} [Proc. Lond. Math. Soc., III. Ser. 66, 225-256 (1993; Zbl 0796.08006)].
word problem, undecidable equational theory, Free semigroups, generators and relations, word problems, Varieties, decidability, solvable word problems, Varieties and pseudovarieties of semigroups, recursively based semigroup variety, equational theory, Word problems (aspects of algebraic structures), varieties, recursively based varieties, Word problems, etc. in computability and recursion theory
word problem, undecidable equational theory, Free semigroups, generators and relations, word problems, Varieties, decidability, solvable word problems, Varieties and pseudovarieties of semigroups, recursively based semigroup variety, equational theory, Word problems (aspects of algebraic structures), varieties, recursively based varieties, Word problems, etc. in computability and recursion theory
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