English

Interpolation in local theory extensions

Logic in Computer Science 2015-07-01 v2 Software Engineering

Abstract

In this paper we study interpolation in local extensions of a base theory. We identify situations in which it is possible to obtain interpolants in a hierarchical manner, by using a prover and a procedure for generating interpolants in the base theory as black-boxes. We present several examples of theory extensions in which interpolants can be computed this way, and discuss applications in verification, knowledge representation, and modular reasoning in combinations of local theories.

Cite

@article{arxiv.0806.4553,
  title  = {Interpolation in local theory extensions},
  author = {Viorica Sofronie-Stokkermans},
  journal= {arXiv preprint arXiv:0806.4553},
  year   = {2015}
}

Comments

31 pages, 1 figure

R2 v1 2026-06-21T10:55:07.360Z