@inproceedings{10409,
  abstract     = {We show that Yao’s garbling scheme is adaptively indistinguishable for the class of Boolean circuits of size   S  and treewidth   w  with only a   SO(w)  loss in security. For instance, circuits with constant treewidth are as a result adaptively indistinguishable with only a polynomial loss. This (partially) complements a negative result of Applebaum et al. (Crypto 2013), which showed (assuming one-way functions) that Yao’s garbling scheme cannot be adaptively simulatable. As main technical contributions, we introduce a new pebble game that abstracts out our security reduction and then present a pebbling strategy for this game where the number of pebbles used is roughly   O(δwlog(S)) ,   δ  being the fan-out of the circuit. The design of the strategy relies on separators, a graph-theoretic notion with connections to circuit complexity.  with only a   SO(w)  loss in security. For instance, circuits with constant treewidth are as a result adaptively indistinguishable with only a polynomial loss. This (partially) complements a negative result of Applebaum et al. (Crypto 2013), which showed (assuming one-way functions) that Yao’s garbling scheme cannot be adaptively simulatable. As main technical contributions, we introduce a new pebble game that abstracts out our security reduction and then present a pebbling strategy for this game where the number of pebbles used is roughly   O(δwlog(S)) ,   δ  being the fan-out of the circuit. The design of the strategy relies on separators, a graph-theoretic notion with connections to circuit complexity.},
  author       = {Kamath Hosdurg, Chethan and Klein, Karen and Pietrzak, Krzysztof Z},
  booktitle    = {19th International Conference},
  isbn         = {9-783-0309-0452-4},
  issn         = {1611-3349},
  location     = {Raleigh, NC, United States},
  pages        = {486--517},
  publisher    = {Springer Nature},
  title        = {{On treewidth, separators and Yao’s garbling}},
  doi          = {10.1007/978-3-030-90453-1_17},
  volume       = {13043 },
  year         = {2021},
}