Filter λΔ-Models and Domains
There is an analogy between λΔ-filter models and λΔ-models that are ω-algebraic lattices, which was first noticed in  and further developed in  and . This analogy lies in the fact that type symbols in a λΔ-filter model play the role of names for compact elements in the corresponding ω-algebraic lattice. It is out of the aim of this book to give a complete survey of the λΔ-models based on ω-algebraic lattices. In case where Δ = Λ, there are some textbooks giving a complete development of this topic, e.g. [5, 81, 87]. Here we will just give some basic informations in order to assure readability to those readers who are not expert in this topic, without developing the proofs for standard properties.
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