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Proof nets, Garbage, and Computations  (Make Corrections)  
S. Guerrini, S. Martini, A. Masini Dipartimento di Informatica, Universit`a ...



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Abstract: : We study the problem of local and asynchronous computation in the context of multiplicative exponential linear logic (MELL) proof nets. The main novelty is in a complete set of rewriting rules for cut-elimination in presence of weakening (which requires garbage collection). The proposed reduction system is strongly normalizing and confluent. Keywords: linear logic; typed lambda-calculus; cut-elimination; sharing graphs; proof nets. 1 Introduction Cut-elimination (or normalization) is the... (Update)

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BibTeX entry:   (Update)

@misc{ martini-proof,
  author = "Guerrini Martini",
  title = "Proof nets, Garbage, and Computations",
  url = "citeseer.ist.psu.edu/9123.html" }
Citations (may not include all citations):
215   Theoretical Computer Science (context) - Jean-Yves, logic - 1987
24   An algorithm for optimal lambda calculus reduction (context) - John - 1990
13   Linear logic without boxes - Georges, Mart'in et al. - 1992
11   Dipartimento di Informatica (context) - Stefano, Andrea et al. - 1996
8   Theoretical and Practical Issues of Optimal Implementations .. (context) - Stefano - 1996
7   comonads and optimal reductions (context) - Andrea, logic - 1995
5   Paths in the lambda-calculus: three years of communications .. (context) - Andrea, Vincent et al. - 1994
5   Sequent reconstruction in LLM---A sweepline proof (context) - Richard - 1995
3   R'eductions Correctes et Optimales dans le lambdacalcul (context) - L'ev, L'evy - 1978
3   Coherence for sharing proof-nets (context) - Stefano, Simone et al. - 1996
2   Interaction systems - Andrea, Cosimo - 1993

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