Categorical semantics for higher order polymorphic lambda calculus

Journal of Symbolic Logic 52 (4):969-989 (1987)
A categorical structure suitable for interpreting polymorphic lambda calculus (PLC) is defined, providing an algebraic semantics for PLC which is sound and complete. In fact, there is an equivalence between the theories and the categories. Also presented is a definitional extension of PLC including "subtypes", for example, equality subtypes, together with a construction providing models of the extended language, and a context for Girard's extension of the Dialectica interpretation
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.2307/2273831
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history
Request removal from index
Download options
Our Archive

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 25,727
Through your library
References found in this work BETA
The „Dialectica” Interpretation and Categories.Philip J. Scott - 1978 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 24 (31-36):553-575.
The „Dialectica”︁ Interpretation and Categories.Philip J. Scott - 1978 - Mathematical Logic Quarterly 24 (31‐36):553-575.

Add more references

Citations of this work BETA
Second-Order Type Isomorphisms Through Game Semantics.Joachim de Lataillade - 2008 - Annals of Pure and Applied Logic 151 (2-3):115-150.
A Game Semantics for Generic Polymorphism.Samson Abramsky & Radha Jagadeesan - 2005 - Annals of Pure and Applied Logic 133 (1-3):3-37.
On Church's Formal Theory of Functions and Functionals.Giuseppe Longo - 1988 - Annals of Pure and Applied Logic 40 (2):93-133.

View all 6 citations / Add more citations

Similar books and articles

Monthly downloads

Added to index


Total downloads

12 ( #362,921 of 2,146,490 )

Recent downloads (6 months)

1 ( #386,104 of 2,146,490 )

How can I increase my downloads?

My notes
Sign in to use this feature

There  are no threads in this forum
Nothing in this forum yet.

Other forums