Superposition theorem proving for abelian groups represented as integer modules

Stuber, Jürgen

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsRelease HistoryDetailsSummary

Released

Journal Article

Superposition theorem proving for abelian groups represented as integer modules

MPS-Authors

/persons/resource/persons45567

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

External Resource

No external resources are shared

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

There are no public fulltexts stored in PuRe

Supplementary Material (public)

There is no public supplementary material available

Citation

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

Cite as: https://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.