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arXiv · 1210.5946

Bipolar Proof Nets for MALL

Roberto Maieli
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Abstract

In this work we present a computation paradigm based on a concurrent and incremental construction of proof nets (de-sequentialized or graphical proofs) of the pure multiplicative and additive fragment of Linear Logic, a resources conscious refinement of Classical Logic. Moreover, we set a correspon- dence between this paradigm and those more pragmatic ones inspired to transactional or distributed systems. In particular we show that the construction of additive proof nets can be interpreted as a model for super-ACID (or co-operative) transactions over distributed transactional systems (typi- cally, multi-databases).

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Roberto Maieli. 2012-10-22. Bipolar Proof Nets for MALL. https://arxiv.org/abs/1210.5946

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