
Abstract We show how to represent polynomial time computation in an untyped version of proof-nets for elementary linear logic. This follows previous work by P. Baillot but which was developed in a typed and affine setting. We describe how these two properties can be adapted.
Elementary Linear Logic, Strong Normalization, Implicit Computational Complexity, [INFO.INFO-LO] Computer Science [cs]/Logic in Computer Science [cs.LO], Polynomial Time Computation, [MATH.MATH-LO] Mathematics [math]/Logic [math.LO], Proof Nets
Elementary Linear Logic, Strong Normalization, Implicit Computational Complexity, [INFO.INFO-LO] Computer Science [cs]/Logic in Computer Science [cs.LO], Polynomial Time Computation, [MATH.MATH-LO] Mathematics [math]/Logic [math.LO], Proof Nets
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