Part I: Foundations
1 Operational Transformation
2 Assignment
3 Mapped values
4 Amount of information in a value
5 Selective undo
Part II: The lattice of database states
6 Partially ordered set (mathematics)
7 Infimum and Supremum (mathematics)
8 Hasse Diagram of a finite poset (mathematics)
9 Lattice (mathematics)
10 The lattice of database states
Part III: OT control algorithms
11 Operational Transform Control Algorithms
12 Apache Wave
Part IV: OT on text
13 Operational Transformation On Text
Part V: The cxOT library
14 cxOT
15 Vector Time
Part VI: cxOT control algorithms
16 Control algorithms
17 Base vector time
18 Causality
19 Control algorithm using merge and factorisation
20 Control algorithm with transient HB-suffix
21 Control Algorithm
22 Operational Transform Convergence
23 Inclusion transform on lists
24 List representation of composite operations
25 Merge operation
26 Merging operations
27 Notation
28 Operation factorisation
29 Quadratic complexity
30 TP1 and TP2
31 Vector<T> operations
Part VII: Operations on data types
32 Offsets
33 Operations for deltas on a numerical field
34 Assignment operations
35 Assignment operations
36 Bogus solution for assignment
37 Dom relation for assignment
38 Lossy assignment operations
39 Bags
40 Bag Operations
41 Bags
42 Sets
43 Composite set operations 4
44 Composite set operations
45 Operational transform on sets
46 Map Operations
Part VIII: String operations
47 String operations
48 Abstractions over reflected vectors in a database
49 Update effective siteids when apply local operations
50 Composite operations on a text field
51 Effective siteids
52 Factorisation of composite insertions and deletions on a text field
53 Idea to avoid the need to split intervals
54 Initial state
55 Log Compression Algorithm
56 Merge composite string insertion operations
57 Merge composite string operations
58 Merging coincident string insertions
59 Monotone increasing extents on interval set
60 Multi-character insertion and deletion operations
61 Right to left merge of coincident insertions?
62 Sending a delta on a vector field
63 Single character insertion and deletion operations
64 Siteid comparison fails on composite insertions
65 Siteid inheritance fails
66 String insertion DualIT is harder on composite operations
67 SUN triples
68 Take RFactor of insertions/deletions on text field
69 Temporal Index values on insertion intervals
Part IX: Historical research archive
70 Historical cxOT documents

Part II: The lattice of database states

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