Gödel logic: From natural deduction to parallel computation

@article{Aschieri2017GdelLF,
  title={G{\"o}del logic: From natural deduction to parallel computation},
  author={Federico Aschieri and Agata Ciabattoni and Francesco A. Genco},
  journal={2017 32nd Annual ACM/IEEE Symposium on Logic in Computer Science (LICS)},
  year={2017},
  pages={1-12}
}
Propositional Gödel logic G extends intuitionistic logic with the non-constructive principle of linearity (A → B) ∨ (B → A). We introduce a Curry-Howard correspondence for G and show that a simple natural deduction calculus can be used as a typing system. The resulting functional language extends the simply typed λ-calculus via a synchronous communication mechanism between parallel processes, which increases its expressive power. The normalization proof employs original termination arguments… Expand
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