The Minimal Graph Model of Lambda Calculus

@inproceedings{Bucciarelli2003TheMG,
  title={The Minimal Graph Model of Lambda Calculus},
  author={Antonio Bucciarelli and Antonino Salibra},
  booktitle={MFCS},
  year={2003}
}
A longstanding open problem in lambda-calculus, raised by G.Plotkin, is whether there exists a continuous model of the untyped lambda-calculus whose theory is exactly the beta-theory or the beta-eta-theory. A related question, raised recently by C.Berline, is whether, given a class of lambda-models, there is a minimal equational theory represented by it. 
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