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Abstract
We present a game semantics for an expressive typing system for block-structured programs with late binding of variables and System F style polymorphism. As well as generic programs and abstract datatypes, this combination may be used to represent behaviour such as dynamic dispatch and method overriding. We give a denotational models for a hierarchy of programming languages based on our typing system, including variants of PCF and Idealized Algol. These are obtained by extending polymorphic game semantics to block-structured programs. We show that the categorical structure of our models can be used to give a new interpretation of dynamic binding, and establish definability properties by imposing constraints which are identical or similar to those used to characterize definability in PCF (innocence, well-bracketing, determinacy). Moreover, relaxing these can similarly allow the interpretation of side-effects (state, control, non-determinism) - we show that in particular we may obtain a fully abstract semantics of polymorphic Idealized Algol with dynamic binding by following exactly the methodology employed in the simply-typed case.
Original language | English |
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DOIs | |
Publication status | Published - 1 Sept 2016 |
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Dive into the research topics of 'Polymorphic Game Semantics for Dynamic Binding'. Together they form a unique fingerprint.Projects
- 2 Finished
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Semantic Types for Verified Program Behaviour
Laird, J. (PI)
Engineering and Physical Sciences Research Council
28/02/14 → 31/07/17
Project: Research council
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Semantic Structures for Higher-Order Information Flow
Laird, J. (PI)
Engineering and Physical Sciences Research Council
20/06/10 → 19/06/12
Project: Research council