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The Deep Blue Calculus (1998)

by Luigi Liquori
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Abstract:

We develop a calculus which is a "direct" descendant of the blue calculus of Boudol [Bou97]. This calculus is both an extension of Abadi & Cardelli's ζ-calculus [AC96] and the Milner's π-calculus [Mil93]. We give a simple type system that is a direct extension of any type fragment considered in [AC96] encodable into the π-calculus. The type system enjoys Subject Reduction. We provide finally an adequate CPS transform from our calculus to the blue calculus. This transform shows that the latter can be seen as a "target language", while our calculus provide a very expressive and promising notation for higher-order object-oriented concurrent programming languages.

Citations

755 A Theory of Objects – Abadi, Cardelli - 1996
145 A natural semantics for lazy evaluation – LAUNCHBURY
60 The pi-calculus in direct style – Boudol - 1997
25 An interpretation of typed objects into typed -calculus – Sangiorgi - 1998
19 Polyadic -Calculus: a tutorial. Logic and Algebra of Specification – Milner - 1993
12 Objects as mobile processes – Huttel, Kleist - 1996