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Contextual rewriting

Wischnewski, Patrick and Weidenbach, Christoph

MPI-I-2009-RG1-002. April 2009, 28 pages. | Status: available - back from printing | Next --> Entry | Previous <-- Entry

Abstract in LaTeX format:
Sophisticated reductions are of particular importance for progress in
theorem proving. We consider the powerful reduction rule Contextual
in connection with the superposition calculus.
If considered in its most general form the applicability of contextual
rewriting is
not decidable. We develop an instance of contextual rewriting where
becomes decidable while preserving a great deal of its simplification power.
A sophisticated implementation of the rule in SPASS reveals its
application potential.
Our contextual rewriting instance is feasible in the sense that it can
be executed on
the overall TPTP resulting in a gain of solved problems and new
solutions to a
number of problems that could not be solved by theorem provers so far.
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  AUTHOR = {Wischnewski, Patrick and Weidenbach, Christoph},
  TITLE = {Contextual rewriting},
  TYPE = {Research Report},
  INSTITUTION = {Max-Planck-Institut f{\"u}r Informatik},
  ADDRESS = {Stuhlsatzenhausweg 85, 66123 Saarbr{\"u}cken, Germany},
  NUMBER = {MPI-I-2009-RG1-002},
  MONTH = {April},
  YEAR = {2009},
  ISSN = {0946-011X},