Intersection Types and Lambda Theories
<|reference_start|>Intersection Types and Lambda Theories: We illustrate the use of intersection types as a semantic tool for showing properties of the lattice of lambda theories. Relying on the notion of easy intersection type theory we successfully build a filter model in which the interpretation of an arbitrary simple easy term is any filter which can be described in an uniform way by a predicate. This allows us to prove the consistency of a well-know lambda theory: this consistency has interesting consequences on the algebraic structure of the lattice of lambda theories.<|reference_end|>
@article{dezani-ciancaglini2002intersection,
    title={Intersection Types and Lambda Theories},
    author={M.Dezani-Ciancaglini and S.Lusin},
    journal={arXiv preprint arXiv:cs/0211011},
    year={2002},
    archivePrefix={arXiv},
    eprint={cs/0211011},
    primaryClass={cs.LO}
}