Expressing additives using multiplicatives and subexponentials

@article{Chaudhuri2016ExpressingAU,
  title={Expressing additives using multiplicatives and subexponentials},
  author={Kaustuv Chaudhuri},
  journal={Mathematical Structures in Computer Science},
  year={2016},
  volume={28},
  pages={651 - 666}
}
  • Kaustuv Chaudhuri
  • Published 21 November 2016
  • Mathematics
  • Mathematical Structures in Computer Science
Subexponential logic is a variant of linear logic with a family of exponential connectives – called subexponentials – that are indexed and arranged in a pre-order. Each subexponential has or lacks associated structural properties of weakening and contraction. We show that a classical propositional multiplicative subexponential logic (MSEL) with one unrestricted and two linear subexponentials can encode the halting problem for two register Minsky machines, and is hence undecidable. We then show… 
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2 Citations

2 Citations

Synthetic Undecidability of MSELL via FRACTRAN Mechanised in Coq
TLDR
This work presents an alternate undecidability proof for entailment in (intuitionistic) multiplicative subexponential linear logic (MSELL) and gives an alternate presentation of those two counters machines as sequent rules, where computation is performed by proof-search, and halting reduced to provability.
A Coq Library of Undecidable Problems
TLDR
The library of mechanised reductions is a collaborative effort, growing constantly and it is seeking more outside contributors willing to work on undecidability results in Coq.

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