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# Matrix Protocol
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### Introduction
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## Introduction
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*The authoritative place for learning about matrix is at [matrix.org](https://matrix.org) but
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it may be worthwhile to spend a moment and consider this introduction which explains things
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by distilling the formal core of the protocol before introducing all of the networking and
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communicative accoutrements...*
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#### Identity
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### Identity
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The Matrix-ID or `mxid` is a universally unique plain-text string allowing
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an entity to be addressed internet-wide which is fundamental to the matrix
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@ -17,7 +17,7 @@ mxid: "@user:host" where `host` is a public DNS name, `user` is a party to
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character, called a `sigil`, is defined to be '!' for `room_id` identifiers,
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'$' for `event_id` identifiers, '#' for room aliases, and '@' for users.
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#### Event
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### Event
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The fundamental primitive of this protocol is the `event` object. This object
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contains some set of key/value pairs and the protocol defines a list of such keys
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@ -57,17 +57,16 @@ describes an *abstract state machine* which has its state updated by an event, i
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addition to providing a standard means for communication of events between parties
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over the internet. That's it.
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#### Timeline
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### Timeline
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The data tape of the matrix machine consists of a singly-linked list of `event`
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objects with each referencing the `event_id` of its preceding parent somewhere
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objects with each referencing the `event_id` of its preceding parents somewhere
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in the `prev_` keys; this is called the `timeline`. Each event is signed by its
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creator and affirms all referenced events preceding it. This is a very similar
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structure to that used by software like Git, and Bitcoin. It allows looking back
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into the past from any point, but doesn't force a party to accept a future and
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leaves dispute resolution open-ended (which will be explained later).
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into the past from any point.
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#### State
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### State
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The `state` consists of a subset of events which are accumulated according to a
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few rules when playing the tape through the machine. Events which are selected
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@ -87,7 +86,7 @@ singleton `state` events, like an `m.room.create` event. The `state_key`
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is used to represent a set, like with `m.room.member` events, where the
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value of the `state_key` is a user `mxid`.
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#### Rooms
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### Room
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The `room` structure encapsulates an instance of the matrix machine. A room
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is a container of `event` objects in the form of a timeline. The query
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@ -126,16 +125,39 @@ type events ourselves. This project tends to create events in the namespace
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`ircd.*` These events should not alter the room's functionality for a client
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with knowledge of only the published `m.room.*` events wouldn't understand.
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### Server
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#### Coherence
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Matrix rooms are intended to be distributed entities that are replicated by
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all participating servers. It is important to make this clear by contrasting
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it with a common assumption that rooms are "hosted" by some entity. For example
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when one sees an `mxid` such as `!matrix:matrix.org` it is incorrect to assume
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that `matrix.org` is "hosting" this room or that it plays any critical role in
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its operation.
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Matrix is specified as a directed acyclic graph of messages. The conversation of
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messages moves in one direction: past to future. Messages only reference other
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messages which have a lower degree of separation indicated by the `depth` from
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the first message in the graph (where `type` was `m.room.create`). Specifically,
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each message makes a reference to all known messages at the last `depth`, or all
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previously unknown messages at some lower `depth`. Each new message is broadcast
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to all participants in a room.
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Servers are simply obliged to adhere to the rules of the protocol. There is no
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cryptographic guarantee that rules will be followed (e.g. zkSNARK), and no
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central server to query as an authority. Servers should disregard violations
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of the protocol as the room unfolds from the point of its creation.
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The notion of hosting does exist for room aliases. In the above example the
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room mxid `!matrix:matrix.org` may be referred to by `#matrix:matrix.org`.
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As an analogy, if one considers the room mxid to be an IP address then the
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alias is like a domain name pointing to the IP address. The example alias is
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hosted by `matrix.org` under their authority and may be directed to any room
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mxid. The alias is not useful when its host is not available, but the room
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itself is still available from all other servers.
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### Communication
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Servers communicate by broadcasting events to all other servers joined to the
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room. When a server wishes to broadcast a message, it constructs an event which
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references all previous events in the timeline which have not yet been
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referenced. This forms a directed acyclic graph of events, or DAG.
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The conversation of messages moves in one direction: past to future. Messages
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only reference other messages which have a lower degree of separation indicated
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by the `depth` from the first message in the graph (where `type` was
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`m.room.create`).
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* The monotonic increase in `depth` contributes to an intuitive "light cone"
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read coherence. Knowledge of any piece of information (like an event) offers
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@ -147,35 +169,133 @@ depth from independent actors and multiple reference trees may form
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independent of others. This provides the scalar for performance in a large
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distributed internet system.
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References to previous events:
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#### DAG
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The DAG is a tool which aids with the presentation of a coherent conversation
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for the room in lieu of the relaxed write consistency as previously mentioned.
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This tool is not very difficult to comprehend, it only becomes complicated in
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the most academically contrived corner-cases -- most of which are born out of
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malice.
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In the following diagrams each box represents a message and their reference
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connections in the timeline, which begins at the top and flows down. For the
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sake of simplicity one can consider each message to always be sent by a
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different server in the room.
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```
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Over the lifetime of the average room, for an overwhelming majority of that
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time, the DAG is linear.
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[M00]
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[M01]
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[M02]
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[M03]
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[M04]
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```
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This is because computers and the modern internet are actually quite fast. Even
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in the broadcast model for reasonably large room, a server will have conveyed
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an event to all other servers, or at least to the next server which will
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transmit, before there is any conflict. This is the overwhelming majority of
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cases.
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For example, consider this curve from data collected in
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#matrix-architecture:matrix.org. The number of references an event makes
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is the key, and the count of events which has made that number of references
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is the value.
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```
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1: 6848
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2: 248
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3: 7
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4: 1
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5: 1
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6: 0
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7: 0
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```
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Conflicts occurred about 3.5% of the time, and more than a simple conflict
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occurred about 0.1% of the time. We will refer to these as periods of
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"turbulence."
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```
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[M00]
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[M01]
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/ \
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[M02] [M02]
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\ /
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[M03]
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[M04]
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```
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Above: when two servers transmit at the same time.
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Below: when three servers transmit at the same time:
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```
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[M00]
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[M01]
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/ | \
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[M02] [M02] [M02]
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\ | /
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[M03]
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[M04]
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```
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Below: when three servers transmit, and then a fourth server transmits
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having only received two out of the three transmissions in the previous round.
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```
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[M00]
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[M01]
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/ | \
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[M02] [M02] [M02]
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\ \ /
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\ [M03]
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\ /
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[M04]
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[M05]
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```
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The above scenario is a very rare occurrence but it is certainly seen in
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practice by slow servers participating in large and busy rooms.
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```
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[A0] <-- [A1] <-- [A2] | A has seen B1 and includes a reference in A2
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^ |
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^------ [B1] <-- [B2] | B hasn't yet seen A1 or A2
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[0]
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[1] [B]
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[T0] A release A0 :
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[T1] A release A1 : B acquire A0
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[T2] : B release B1
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[T3] A acquire B1 : B release B2
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[T4] A release A2 :
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```
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[2] [A]
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Both actors will have their clock (depth) now set to 2 and will issue the
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next new message at clock cycle 3 referencing all messages from cycle 2 to
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merge the split in the illustration above which is happening.
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[3] [9]
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[4] [8]
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[5] [7]
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[6]
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```
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[A0] <-- [A1] <-- [A2] [A4] | A now sees B3, B2, and B1
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^ | | |
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| <---<----< ^--<--< <--<
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^------- [B1] <-- [B2] <-- [B3] | B now sees A2, A1, and A0
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```
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#### Coherence
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Keen observers may have realized by now this system is not fully coherent.
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To be coherent, a system must leverage *entry consistency* and/or *release
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