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Extensional Models of Untyped Lambda-mu Calculus

2012
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Electronic Proceedings in Theoretical Computer Science
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This paper proposes new mathematical models of the untyped Lambda-mu calculus. One is called the stream model, which is an extension of the lambda model, in which each term is interpreted as a function from streams to individual data. The other is called the stream combinatory algebra, which is an extension of the combinatory algebra, and it is proved that the extensional equality of the Lambda-mu calculus is equivalent to equality in stream combinatory algebras. In order to define the stream

doi:10.4204/eptcs.97.3
fatcat:53yagybcbzaxtmvvmob65vmt24