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Add InnerCircuit abstraction Abstract signature gadget into InnerCircuit. So that PODs just need to implement the InnerCircuit and then plug and recurse.

arnaucube committed on Oct 17, 2024

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group signature verification inputs (prepare for POD abstraction). Use proper & names

arnaucube committed on Oct 17, 2024

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Extend recursive tree to variable arity: Now the number of `(signature proof OR recursive proof) AND ...` is defined by a parameter `N`. p_root ▲ │ ┌────────┐ │ F │ └────────┘ ▲ ▲ ▲ ▲ ┌─┘ │ │ └─┐ ┌────┘ ┌─┘ └┐ └───┐ │ │ ... │ │ ┌────────┐┌┴┐┌─┐┌┴┐ ┌────────┐ │ F ││.││.││.│ │ F │ └────────┘└─┘└─┘└─┘ └────────┘ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ┌─┘ │ └┐ └─┐ ┌─┘┌┘ └┐ └┐ │ │ │ │ │ │ │ │ p_1 p_2 ... p_n p'_1 p'_2... p'_n where each p_i is either - signature verification - recursive plonky2 proof (proof that verifies previous proof) (generated by `RecursiveCircuit::prove_step` method) in other words, each p_i is checking: `(signature proof OR recursive proof)` So for example, by setting `N=2`, we have a binary-tree as we had in the previous commit, where at each 'node' it is verifying `(signature proof OR recursive proof) AND (signature proof OR recursive proof)` By setting `N=3`, each node verifies `(signature proof OR recursive proof) AND (signature proof OR recursive proof) AND (signature proof OR recursive proof)`

arnaucube committed on Oct 16, 2024

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add full recursion (binary) tree Each node of the tree is verifying: `((verify left sig OR verify left proof) AND (verify right sig OR verify right proof))`. and then it generates a new plonky2 proof, which can again be verified in a node of the next level of the tree. full binary tree of recursion works

arnaucube committed on Oct 15, 2024