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Lecture Notes in Computer Science
We propose a semantic framework for modelling the linear usage of continuations in typed call-by-name programming languages. On the semantic side, we introduce a construction for categories of linear continuations, which gives rise to cartesian closed categories with "linear classical disjunctions" from models of intuitionistic linear logic with sums. On the syntactic side, we give a simply typed call-by-name λµcalculus in which the use of names (continuation variables) is restricted to bedoi:10.1007/978-3-540-24754-8_17 fatcat:ehx7zccbaffv3belzzcd5nobyi