Ethereum: Algorithm of checking whether an element is present in a merkle tree

Ethereum Merkle Tree Implementation: Check the presence

Merkle trees have become a structure of essential data in the Ethereum ecosystem, allowing developers to verify and recover efficiently set of data. The algorithm used to check if there is a specific element within a Merkle tree is known as «control algorithm if an element is present» or simply «Is_Present (element)».

What is a Merkle tree?

A Merkle tree is a binary structure that allows efficient data integrity and authentication. It consists of multiple leaves, each that represents a block or a transaction in the Ethereum blockchain. The root node of the tree contains all the leaf nodes, creating a hierarchical structure.

The algorithm is_present (element)

To check if there is an element within a Merkle tree, we must cross the tree from the root to the foliage nodes and verify that each subsoil rooted in a given position contains the specified element. The algorithm provides several steps:

• Basic case: If the value of the current node corresponds to the target element, returns True.

• Recursive case: Otherwise, it calls recursively is_present (element) on the left child (if it exists) and the right child (if it exists). If a recursive call returns True, it returns true.

Implementation in solidity

Here is an example of an example of the function is_present (element) in solidity:

Solidity `

Pragma solidity ^0.8.0;

Merkletree contract {

// Array to store all the leaves (blocks or transactions) in the tree

Mapping (address => uint256 []) public leaves;

// Function to create a new leaf node

Createleaf function (address _Node, Uint256 [] Memory _Data) public {

leaves [_node] .push (_data);

}

// works to check if there is an element within the market of the market

Ispresent function (Uint256 _element) Internal view Returns (Bool) {

// Basic case: if the value of the current node corresponds to the target element, it returns True.

If (leaves [msg.sender] [0] == _element) {

return true;

}

// Recursive case: otherwise, he calls recursively is_present (element) on the left child

// and the right child. If a recursive call returns True, it returns true.

For (Uint256 i = 1; i

If (leaves [msg.sender] [i] == _element) {

return true;

}

If (Ispred (_element)) {

return true;

}

}

// If no correspondence is found, return false.

return false;

}

}

``

explanation and connections

* Structure of Merkle’s tree data : This article provides a detailed explanation of the Merkle tree structure and its implementation in solidity. [Find out more: Ethereum Blockchain bases] (

* FUNCTION IS_PRENT : This function implements the is_present algorithm (element), allowing you to check if an element exists within a Merkle tree. [Solidity tutorial: how to implement the Ispresent function] (https: //solidity-by-example.github.io/solidity-tutorial/is-perents-function.html)

* Example of Merkle tree : This example shows how to create a new leaf node and use the Is_Present function to check if there is an element within the Merkle tree. [Ethereum Blockchain Tutorial: How to create a Merkle tree] (

Additional resources

* Implementation of Merkle’s tree

: This article provides more in -depth information on how to implement the IS_Present function using a different approach.

* [Solidity tutorial: understanding and implementation of Merkle Trees] (https: //solidity-by-example.github.io/solidery-tutorial/merkle-tree.

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