
In this article we discuss three different notions of linearity: syntactical, operational and denotational. We briefly define each notion of linearity, pointing out some of the main results in the area, and describe applications of linear languages and type systems.
denotational linearity, GEOMETRY, linear computation, PI-CALCULUS, LANGUAGE, LINEARIZATION, COMPUTATION, syntactical linearity, 004, REDUCTION, RESOURCE LAMBDA-CALCULUS, operational linearity, LOGIC, POLYNOMIAL-TIME, SESSION TYPES
denotational linearity, GEOMETRY, linear computation, PI-CALCULUS, LANGUAGE, LINEARIZATION, COMPUTATION, syntactical linearity, 004, REDUCTION, RESOURCE LAMBDA-CALCULUS, operational linearity, LOGIC, POLYNOMIAL-TIME, SESSION TYPES
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