Decidable Type Inference for the Polymorphic Rewriting Calculus

Horatiu Cirstea 1 Claude Kirchner 1 Luigi Liquori 2, 3 Benjamin Wack 1
1 PROTHEO - Constraints, automatic deduction and software properties proofs
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
2 LOGNET - Logical Networks: Self-organizing Overlay Networks and Programmable Overlay Computing Systems
CRISAM - Inria Sophia Antipolis - Méditerranée
3 MASCOTTE - Algorithms, simulation, combinatorics and optimization for telecommunications
CRISAM - Inria Sophia Antipolis - Méditerranée , Laboratoire I3S - COMRED - COMmunications, Réseaux, systèmes Embarqués et Distribués
Abstract : The rewriting calculus is a minimal framework embedding lambda calculus and term rewriting systems that allows abstraction on variables and patterns. The rewriting calculus features higher-order functions (from the lambda calculus) and pattern matching (from term rewriting systems). In this paper, we study extensively the decidability of type inference in the second-order rewriting calculus à la Curry.
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Horatiu Cirstea, Claude Kirchner, Luigi Liquori, Benjamin Wack. Decidable Type Inference for the Polymorphic Rewriting Calculus. 17è Journées Francophones des Langages Applicatifs - JFLA 2006, Jan 2006, Pauillac, France. pp.57-69. ⟨inria-00000817⟩

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