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Superposition theorem proving for abelian groups represented as integer modules

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http://pubman.mpdl.mpg.de/cone/persons/resource/persons45567

Stuber,  Jürgen
Programming Logics, MPI for Informatics, Max Planck Society;

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Citation

Stuber, J. (1998). Superposition theorem proving for abelian groups represented as integer modules. Theoretical Computer Science, 208(1/2), 149-177.


Cite as: http://hdl.handle.net/11858/00-001M-0000-000F-3896-8
Abstract
We define a refutationally complete superposition calculus specialized for abelian groups represented as integer modules. Compared to a standard superposition prover which applies the axioms directly our calculus substantially reduces the number of inferences. We also investigate situations where the axioms give rise to variable overlaps and we develop techniques to avoid these explosive cases.