We show that typability for a natural form of polymorphic recursive typing for rank-2 intersection types is undecidable. Our proof involves characterizing typability as a context free language (CFL) graph problem, which may be of independent interest, and reduction from the boundedness problem for Turing machines. We also show a property of the type system which, in conjunction with the undecidability result, disproves a misconception about the Milner-Mycroft type system. We also show undecidability of a related program analysis problem.
Title
On Typability for Rank-2 Intersection Types with Polymorphic Recursion
Published
2006-05-18
Full Collection Name
Electrical Engineering & Computer Sciences Technical Reports
Other Identifiers
EECS-2006-66
Type
Text
Extent
16 p
Archive
The Engineering Library
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