First-Order Terms

Christian Sternagel, René Thiemann

The Archive of Formal Proofs,  2018.



We formalize basic results on first-order terms, including a first-order unification algorithm, as well as well-foundedness of the subsumption order. This entry is part of the Isabelle Formalization of Rewriting IsaFoR, where first-order terms are omni-present: the unification algorithm is used to certify several confluence and termination techniques, like critical-pair computation and dependency graph approximations; and the subsumption order is a crucial ingredient for completion.


   AFP entry


author = {Christian Sternagel and René Thiemann},
title = {First-Order Terms},
journal = {Archive of Formal Proofs},
month = feb,
year = 2018,
note = {\url{},
Formal proof development},
ISSN = {2150-914x},
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