English

Defeasible Reasoning via Datalog$^\neg$

Logic in Computer Science 2024-08-28 v1 Artificial Intelligence

Abstract

We address the problem of compiling defeasible theories to Datalog¬^\neg programs. We prove the correctness of this compilation, for the defeasible logic DL()DL(\partial_{||}), but the techniques we use apply to many other defeasible logics. Structural properties of DL()DL(\partial_{||}) are identified that support efficient implementation and/or approximation of the conclusions of defeasible theories in the logic, compared with other defeasible logics. We also use previously well-studied structural properties of logic programs to adapt to incomplete Datalog¬^\neg implementations.

Keywords

Cite

@article{arxiv.2106.10946,
  title  = {Defeasible Reasoning via Datalog$^\neg$},
  author = {Michael J. Maher},
  journal= {arXiv preprint arXiv:2106.10946},
  year   = {2024}
}

Comments

Under consideration in Theory and Practice of Logic Programming (TPLP)

R2 v1 2026-06-24T03:24:58.764Z