Abstract: In various implementations, a computing device: displays the document outline on the user interface; maintains, in a non-transitory computer-readable medium, a causal graph data structure representing the document outline, wherein the causal graph data structure includes a plurality of structure nodes, each structure node representing a level of the document outline; receives, via the user interface, an insertion of a new level to the document outline; in response to the insertion, defines a structure node that represents the inserted level; inserts a transition node in the causal graph data structure, wherein the transition node represents a relationship between the structure node and at least one other node of the causal graph data structure; inserts the structure node into the causal graph data structure as a child of the transition node; and updating the user interface to display the inserted level.

Abstract: In various implementations, a computing device: displays the document outline on the user interface; maintains, in a non-transitory computer-readable medium, a causal graph data structure representing the document outline, wherein the causal graph data structure includes a plurality of structure nodes, each structure node representing a level of the document outline; receives, via the user interface, an insertion of a new level to the document outline; in response to the insertion, defines a structure node that represents the inserted level; inserts a transition node in the causal graph data structure, wherein the transition node represents a relationship between the structure node and at least one other node of the causal graph data structure; inserts the structure node into the causal graph data structure as a child of the transition node; and updating the user interface to display the inserted level.

Abstract: In various implementations, a computing device: displays the document outline on the user interface; maintains, in a non-transitory computer-readable medium, a causal graph data structure representing the document outline, wherein the causal graph data structure includes a plurality of structure nodes, each structure node representing a level of the document outline; receives, via the user interface, an insertion of a new level to the document outline; in response to the insertion, defines a structure node that represents the inserted level; inserts a transition node in the causal graph data structure, wherein the transition node represents a relationship between the structure node and at least one other node of the causal graph data structure; inserts the structure node into the causal graph data structure as a child of the transition node; and updating the user interface to display the inserted level.

Abstract: A computing device includes a processor that carries out actions comprising: storing a causal tree structure corresponding to a document, where the causal tree structure includes a sequence of editing instructions and each editing instruction is assigned an identifier unique to such editing instruction. The method further includes receiving a user editing instruction for the document, where the user editing instruction is assigned an identifier unique to the user editing instruction. The method includes storing the user editing instruction and the identifier assigned to the user editing instruction as an additional node to the causal tree structure. The method further includes broadcasting, to a plurality of client devices, the user editing instruction and the identifier assigned to the user editing instruction.

Abstract: In various implementations, a computing device: displays the document outline on the user interface; maintains, in a non-transitory computer-readable medium, a causal graph data structure representing the document outline, wherein the causal graph data structure includes a plurality of structure nodes, each structure node representing a level of the document outline; receives, via the user interface, an insertion of a new level to the document outline; in response to the insertion, defines a structure node that represents the inserted level; inserts a transition node in the causal graph data structure, wherein the transition node represents a relationship between the structure node and at least one other node of the causal graph data structure; inserts the structure node into the causal graph data structure as a child of the transition node; and updating the user interface to display the inserted level.

Abstract: A computing device includes a processor that carries out actions comprising: storing a causal tree structure corresponding to a document, where the causal tree structure includes a sequence of editing instructions and each editing instruction is assigned an identifier unique to such editing instruction. The method further includes receiving a user editing instruction for the document, where the user editing instruction is assigned an identifier unique to the user editing instruction. The method includes storing the user editing instruction and the identifier assigned to the user editing instruction as an additional node to the causal tree structure. The method further includes broadcasting, to a plurality of client devices, the user editing instruction and the identifier assigned to the user editing instruction.

Abstract: A computing device includes a processor that carries out actions comprising: storing a causal tree structure corresponding to a document, where the causal tree structure includes a sequence of editing instructions and each editing instruction is assigned an identifier unique to such editing instruction. The method further includes receiving a user editing instruction for the document, where the user editing instruction is assigned an identifier unique to the user editing instruction. The method includes storing the user editing instruction and the identifier assigned to the user editing instruction as an additional node to the causal tree structure. The method further includes broadcasting, to a plurality of client devices, the user editing instruction and the identifier assigned to the user editing instruction.

Abstract: In various implementations, a computing device: displays the document outline on the user interface; maintains, in a non-transitory computer-readable medium, a causal graph data structure representing the document outline, wherein the causal graph data structure includes a plurality of structure nodes, each structure node representing a level of the document outline; receives, via the user interface, an insertion of a new level to the document outline; in response to the insertion, defines a structure node that represents the inserted level; inserts a transition node in the causal graph data structure, wherein the transition node represents a relationship between the structure node and at least one other node of the causal graph data structure; inserts the structure node into the causal graph data structure as a child of the transition node; and updating the user interface to display the inserted level.

Abstract: In various implementations, a computing device: displays the document outline on the user interface; maintains, in a non-transitory computer-readable medium, a causal graph data structure representing the document outline, wherein the causal graph data structure includes a plurality of structure nodes, each structure node representing a level of the document outline; receives, via the user interface, an insertion of a new level to the document outline; in response to the insertion, defines a structure node that represents the inserted level; inserts a transition node in the causal graph data structure, wherein the transition node represents a relationship between the structure node and at least one other node of the causal graph data structure; inserts the structure node into the causal graph data structure as a child of the transition node; and updating the user interface to display the inserted level.

Abstract: A computing device includes a processor that carries out actions comprising: storing a causal tree structure corresponding to a document, where the causal tree structure includes a sequence of editing instructions and each editing instruction is assigned an identifier unique to such editing instruction. The method further includes receiving a user editing instruction for the document, where the user editing instruction is assigned an identifier unique to the user editing instruction. The method includes storing the user editing instruction and the identifier assigned to the user editing instruction as an additional node to the causal tree structure. The method further includes broadcasting, to a plurality of client devices, the user editing instruction and the identifier assigned to the user editing instruction.

Abstract: A computing device includes a processor that carries out actions comprising: storing a causal tree structure corresponding to a document, where the causal tree structure includes a sequence of editing instructions and each editing instruction is assigned an identifier unique to such editing instruction. The method further includes receiving a user editing instruction for the document, where the user editing instruction is assigned an identifier unique to the user editing instruction. The method includes storing the user editing instruction and the identifier assigned to the user editing instruction as an additional node to the causal tree structure. The method further includes broadcasting, to a plurality of client devices, the user editing instruction and the identifier assigned to the user editing instruction.

Abstract: A computing device includes a processor that carries out actions comprising: storing a causal tree structure corresponding to a document, where the causal tree structure includes a sequence of editing instructions and each editing instruction is assigned an identifier unique to such editing instruction. The method further includes receiving a user editing instruction for the document, where the user editing instruction is assigned an identifier unique to the user editing instruction. The method includes storing the user editing instruction and the identifier assigned to the user editing instruction as an additional node to the causal tree structure. The method further includes broadcasting, to a plurality of client devices, the user editing instruction and the identifier assigned to the user editing instruction.

Abstract: A method is implemented on a server, the method includes storing, on a database of the server, a causal tree structure corresponding to a document, where the causal tree structure includes a sequence of editing instructions and each editing instruction is assigned an identifier unique to such editing instruction. The method further includes receiving, at the server, a user editing instruction for the document, where the user editing instruction is assigned an identifier unique to the user editing instruction. The method includes storing, using a processor of the server, the user editing instruction and the identifier assigned to the user editing instruction as an additional node to the causal tree structure. The method further includes broadcasting, to a plurality of client devices connected to the server, the user editing instruction and the identifier assigned to the user editing instruction.