Beta Reduction is Invariant, Indeed (Long Version)

@article{Accattoli2014BetaRI,
  title={Beta Reduction is Invariant, Indeed (Long Version)},
  author={Beniamino Accattoli and Ugo Dal Lago},
  journal={CoRR},
  year={2014},
  volume={abs/1405.3311}
}
Slot and van Emde Boas' weak invariance thesis states that reasonable machines can simulate each other within a polynomially overhead in time. Is l-calculus a reasonable machine? Is there a way to measure the computational complexity of a l-term? This paper presents the first complete positive answer to this long-standing problem. Moreover, our answer is completely machine-independent and based over a standard notion in the theory of l-calculus: the length of a leftmost-outermost derivation to… CONTINUE READING
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