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The complexity of an expression is de_ned as a pair consisting of a cost and a potential. The former is the explicit cost of evaluating the expression to a value while the latter is the cost of future use of the value. The extraction function is a language-to-language translation that makes evaluation costs explicit by mapping source language expressions to complexity language expressions. We prove by a logical relations argument that recurrences extracted by the extraction function are upper bounds for evaluation cost. The proof makes use of bounded recursion, a key property of which is the principle of fixed point induction, which allows us to be able to reason about recursive computations.</p>"},{"label":"Digital Identifier","value":"m2016-k49"},{"label":"Thesis Advisor(s)","value":["Danner, Norman","Hermant, Olivier","Licata, Daniel R."]},{"label":"Digital Object Identifier (DOI)","value":"https://doi.org/10.14418/wes01.2.119"},{"label":"Discipline","value":["Computer Science"]},{"label":"Date","value":"May 2016"},{"label":"EDTF Date","value":"D:00 M:00 Y:2016"},{"label":"Extent","value":"v, 57 leaves ; 29 cm"},{"label":"File Format","value":["application/pdf"]},{"label":"Genre","value":["masters theses"]},{"label":"Digital Origin","value":["born digital"]},{"label":"Type","value":["Text"]}],"description":"Cost semantics for Plotkin's 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