The transaction-based methods referred to in the documentation are part of the WriteService in Ory Keto. These methods allow you to perform multiple operations in a single transaction, which can be more efficient and provide stronger consistency guarantees than performing multiple individual operations. There are two transaction-based methods mentioned in the extracts: 1. `TransactRelationTuples`: This method writes one or more relationships in a single transaction. It takes a

TransactRelationTuplesRequest

and returns a

TransactRelationTuplesResponse

. The request includes a list of

RelationTupleDelta

objects, each representing a change to a relationship. The action for each

RelationTupleDelta

can be

ACTION_INSERT

to insert a new relationship, or

ACTION_DELETE

to delete an existing relationship. If the action is unspecified, the

TransactRelationTuples

RPC ignores that

RelationTupleDelta

. [source](https://www.ory.sh/docs/keto/reference/proto-api#writeservice) 2. `DeleteRelationTuples`: This method deletes relationships based on a relation query. It takes a

DeleteRelationTuplesRequest

and returns a

DeleteRelationTuplesResponse

. [source](https://www.ory.sh/docs/keto/reference/proto-api#writeservice) These methods are part of the [write-APIs](https://www.ory.sh/docs/keto/concepts/api-overview#write-apis) in Ory Keto.

I'm sorry, but the extracts provided do not contain information about equivalent transaction-based methods for the REST API in Ory Keto. For detailed information, you may want to refer to the [Ory Keto REST API documentation](https://www.ory.sh/docs/keto/reference/rest-api).