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Cancellative superposition decides the theory of divisible torsion-free abelian groups

Waldmann, Uwe

MPI-I-1999-2-003. March 1999, 23 pages. | Status: available - back from printing | Next --> Entry | Previous <-- Entry

Abstract in LaTeX format:

In divisible torsion-free abelian groups, the efficiency of the
cancellative superposition calculus can be greatly increased by
combining it with a variable elimination algorithm that transforms
every clause into an equivalent clause without unshielded variables.
We show that the resulting calculus is a decision procedure for
the theory of divisible torsion-free abelian groups.

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  AUTHOR = {Waldmann, Uwe},
  TITLE = {Cancellative superposition decides the theory of divisible torsion-free abelian groups},
  TYPE = {Research Report},
  INSTITUTION = {Max-Planck-Institut f{\"u}r Informatik},
  ADDRESS = {Stuhlsatzenhausweg 85, 66123 Saarbr{\"u}cken, Germany},
  NUMBER = {MPI-I-1999-2-003},
  MONTH = {March},
  YEAR = {1999},
  ISSN = {0946-011X},