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Linearity, Non-determinism and Solvability

Pagani M., Ronchi della Rocca S.

Fundamenta Informaticae

2010

Vol. 103, nr 1-4

173-202

We study the notion of solvability in the resource calculus, an extension of the γ-calculus modelling resource consumption. Since this calculus is non-deterministic, two different notions of solvability arise, one optimistic (angelical, may) and one pessimistic (demoniac, must). We give a syntactical, operational and logical characterization for the may-solvability and only a partial characterization of the must-solvability. Finally, we discuss the open problem of a complete characterization of the must-solvability.