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A Syntax for Linear Logicby: Philip Wadler
edited by: S. Brookes, M. Main, A. Melton, M. Mislove, D. SchmidtIn Mathematical Foundations of Programming Semantics 9th International Conference, New Orleans, LA, {USA}, Proceedings, Vol. 802 (1993), pp. 513-529.
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Abstract. There is a standard syntax for Girard's linear logic, due to Abramsky, and a standard semantics, due to Seely. Alas, the former is incoherent with the latter: different derivations of the same syntax may be assigned different semantics. This paper reviews the standard syntax and semantics, and discusses the problem that arises and a standard approach to its solution. A new solution is proposed, based on ideas taken from Girard's Logic of Unity. The new syntax is based on pattern matching,...
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