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Vector groups and the equality problem for vector addition systems

Author: Michael Anshel
Journal: Math. Comp. 32 (1978), 614-616
MSC: Primary 20F10; Secondary 03D40, 20E06
MathSciNet review: 482272
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Abstract: Our purpose is to demonstrate that results concerning the equality problem for vector addition systems, may be uséd to establish the decidability and undecidability of decision problems associated with the class of HNN extensions of the infinite cyclic group. We call these groups 'vector groups.'

References [Enhancements On Off] (What's this?)

  • [1] M. ANSHEL, "Conjugate powers in HNN groups," Proc. Amer. Math. Soc., v. 54, 1976, pp. 19-23. MR 0393249 (52:14059)
  • [2] M. ANSHEL, "Decision problems for HNN groups and vector addition systems," Math. Comp., v. 30, 1976, pp. 154-156. MR 0396766 (53:626)
  • [3] M. ANSHEL, "The conjugacy problem for HNN groups and the word problem for commutative semigroups," Proc. Amer. Math. Soc., v. 61, 1976, pp. 223-224. MR 0422457 (54:10446)
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  • [6] M. HACK, The Equality Problem for Vector Addition Systems, CSG Memo 121, Project MAC, M.I.T., Cambridge, Mass., April 1975. (Also to appear in J. Theoret. Comput. Sci.)
  • [7] J. HOPCROFT & J. J. PANSIOT, Decidability of Self-Dual Vector Addition Systems, Dept. of Comput. Sci., Cornell Univ., Ithaca, N. Y.

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Article copyright: © Copyright 1978 American Mathematical Society

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