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First-Order Theory of Subtyping Constraints
Abstract : We investigate the first-order theory of subtyping constraints. We show that the first-order theory of non-structural subtyping is undecidable, and we show that in the case where all constructors are either unary or nullary, the first-order theory is decidable for both structural and non-structural subtyping. The decidability results are shown by reduction to a decision problem on tree automata. This work is a step towards resolving long-standing open problems of the decidability of entailment for non-structural subtyping.
Cited literature [42 references]
https://hal.inria.fr/inria-00536828
Contributor : Joachim Niehren <>
Submitted on : Tuesday, November 16, 2010 - 11:13:03 PM
Last modification on : Thursday, July 8, 2021 - 3:47:43 AM
Long-term archiving on: : Thursday, February 17, 2011 - 3:18:24 AM
Contributor : Joachim Niehren <>
Submitted on : Tuesday, November 16, 2010 - 11:13:03 PM
Last modification on : Thursday, July 8, 2021 - 3:47:43 AM
Long-term archiving on: : Thursday, February 17, 2011 - 3:18:24 AM
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fot02.pdf
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