Cirquent calculus in a nutshell

@article{Japaridze2021CirquentCI,
  title={Cirquent calculus in a nutshell},
  author={Giorgi Japaridze and Bikal Lamichhane},
  journal={ArXiv},
  year={2021},
  volume={abs/2108.12552}
}
This paper is a brief presentation of cirquent calculus, a novel proof system for resource-conscious logics. As such, it is a refinement of sequent calculus with mechanisms that allow to explicitly account for the possibility of sharing of subexpressions/subresources between different expressions/resources. This is achieved by dealing with circuit-style constructs, termed cirquents, instead of formulas, sequents or other tree-like structures. The approach exhibits greater expressiveness… 

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