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21st Annual IEEE Symposium on Logic in Computer Science (LICS'06)
On Typability for Rank-2 Intersection Types with Polymorphic Recursion
Seattle, Washington
August 12-August 15
ISBN: 0-7695-2631-4
Tachio Terauchi, University of California, Berkeley, USA
Alex Aiken, Stanford University, USA
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.
Citation:
Tachio Terauchi, Alex Aiken, "On Typability for Rank-2 Intersection Types with Polymorphic Recursion," lics, pp.111-122, 21st Annual IEEE Symposium on Logic in Computer Science (LICS'06), 2006
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