Semantics of Typed Lambda-Calculus with Constructors

Details Semantics of Typed Lambda-Calculus with Constructors Semantics of Typed Lambda-Calculus with Constructors

2010-09-17

arxiv.org/abs/1009.3429v3

LMCS 6 (4:11) 2010

Computer Science

Logic in Computer Science

Scientific paper

10.2168/LMCS-6(4:11)2010

We present a Curry-style second-order type system with union and intersection types for the lambda-calculus with constructors of Arbiser, Miquel and Rios, an extension of lambda-calculus with a pattern matching mechanism for variadic constructors. We then prove the strong normalisation and the absence of match failure for a restriction of this system, by adapting the standard reducibility method.

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