Abstract
We provide sufficient conditions for categorical models living in arbitrary cpo-enriched cartesian closed categories to have the maximal consistent sensible λ-theory as their equational theory. Finally, we prove that a model of pure λ-calculus we have recently introduced in a cartesian closed category of sets and (multi-)relations fulfils these conditions.
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Manzonetto, G. (2009). A General Class of Models of \(\mathcal{H}^*\) . In: Královič, R., Niwiński, D. (eds) Mathematical Foundations of Computer Science 2009. MFCS 2009. Lecture Notes in Computer Science, vol 5734. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03816-7_49
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DOI: https://doi.org/10.1007/978-3-642-03816-7_49
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