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  Axiomatizing fully complete models for ML polymorphic types (2000) [6 citations — 0 self]

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by Samson Abramsky, Marina Lenisa
In Proc. of MFCS'2000
http://www.dimi.uniud.it/~lenisa/Papers/Soft-copy-ps/lfcs99.ps.gz
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Abstract:

We present an axiomatic characterization of models fully-complete for ML-polymorphic types of system F. This axiomatization is given for hyperdoctrine models, which arise as adjoint models, i.e. co-Kleisli categories of suitable linear categories. Examples of adjoint models can be obtained from categories of Partial Equivalence Relations over Linear Combinatory Algebras. We show that a special linear combinatory algebra of partial involutions induces an hyperdoctrine which satisfies our axiomatization, and hence it provides a fully-complete model for ML-types.

Citations

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