From 25fdf8802411b689cdfb4852e7bcd15992e34ba9 Mon Sep 17 00:00:00 2001
From: "Peter J. Keleher" <keleher@cs.umd.edu>
Date: Thu, 16 Nov 2023 10:36:47 -0500
Subject: [PATCH] auto

---
 notes/fuzzy.md           | 142 ++++++++++++++++++++++-----------------
 notes/fuzzyAPI.png       | Bin 314142 -> 553996 bytes
 notes/fuzzyEvolution.png | Bin 424432 -> 629380 bytes
 notes/fuzzyLog.png       | Bin 319991 -> 522469 bytes
 notes/fuzzyMaps.png      | Bin 0 -> 647502 bytes
 notes/fuzzySkeen.png     | Bin 241909 -> 140214 bytes
 6 files changed, 82 insertions(+), 60 deletions(-)
 create mode 100644 notes/fuzzyMaps.png

diff --git a/notes/fuzzy.md b/notes/fuzzy.md
index 54c7a03..d0a4b4c 100644
--- a/notes/fuzzy.md
+++ b/notes/fuzzy.md
@@ -9,87 +9,101 @@
 - expensive
   - passing mention that CORFU doesn't scale past 20 servers in two adjacent racks
 - impossible (consistency w/ partitions)
+- single sequencer works well for small clusters, doesn't scale w/ network diameter
   
-![](fuzzyLog.png)
+## Approach
+- two causes of partial ordering
+  - data sharding
+  - geo-replication
 
-**color:** updates to a single shard, made of multiple chains
+## linear scaling from:
+- storing each color on a different replica set -> appends to single color in one phase
+- serializable isolation for multi-color appends
+- failure atomicity
+- lazy cross-region sync
 
-**chains:** totally ordered set of updates from a single region. Chains connected by causal dependencies.
+Captured in the fuzzy log:
 
-Each server has:
-- latest copy of local chains
-- stale prefixes of other chains
+<img src=fuzzyLog.png width=500>
 
-**node append:**
-- node added to local chain of specified color
-- w/ outgoing cross-links to *last node seen by client of each remote chain* (same color)
-- can be atomically appended to multiple (local?) colors, **transaction across shards**
+## Abstraction
+- **color:** updates to a single shard, made of multiple chains
+- **chain:** totally ordered set of updates from a single region, single shard. Chains connected by causal dependencies.
+- chains within a color connected by causal cross-links
 
-"toggle between strong and weak consistency during partitions by switching regions"
+Each region has:
+- latest copy of local chains
+- possibly stale prefixes of other chains
 
-linear scaling from:
-- storing each color on a different replica set -> appends to single color in one phase
-- serializable isolation for multi-color appends
-- failure atomicity
-- lazy cross-region sync
+Application approach:
+- apps partition data across shards
+- weaken consistency by not using synchronous coordination on critical paths
+
+**Client API:**
 
+<img src=fuzzyAPI.png width=500>
 
-![](fuzzyAPI.png)
 - `new_instance`: adding color to local
-- `sync`: plays all local nodes not seen by app's previous sync, ordered by chain and cross-edges (causal)
-- `append`: added to end of local totally-ordered chain, cross-edges to tail of each other chain (edges from a node define a snapshot)
-- `trim`: GC nodes prior to snapshot
+- `sync`: plays all local nodes not seen by client's previous sync, ordered by chain and cross-edges (causal)
+- `append`: added to end of local totally-ordered chain, cross-edges to tail of other local chains
+- `trim`: GC nodes prior to a snapshot
 
-![](fuzzyEvolution.png)
+**deets:**
+- node added to local chain of specified color
+- w/ outgoing cross-links to *last node seen by client of each remote chain* (same color)
+- can be atomically appended to multiple (local?) colors (**transaction across shards**)
 
-----
-## Implementation
-- each color a single partition
-- each partition replicated using *chain-replication*
-- battery backed-up ram for servers
-- local append to single color one phase (send it to the chain replication)
-- local append to multiple colors requires two phases (Skeen's)
-  - logical clocks
-  - *phase 1:* send out multicast w/ proposed timestamp
-  - replies return local timestamps
-  - *phase 2:* send msg again w/ max of local or returned timestamps
-  - order at all destinations with new timestamp
-![](fuzzySkeen.png)
----
+<img src=fuzzyEvolution.png width=500>
 
-*Any protocol that provides a total order consistent with a
- linearizable order (i.e, if an update B starts in real time after
- another update A completes, then B occurs after A in the total order)
- is subject to unavailability during network partitions.*  
+## Semantics
+- two `append` operations same color from different regions only
+  ordered if one already seen by client issuing the other
+- never any conflicts when updates to same color by different regions  merge
+  - only partial orders
+  - not clear how (if) we get eventual consistency
+- operations in a single region are serializable
+  - linearizable iff operations to a single color (chain)
+  - not externalizable if multiple colors
 
-Is this true?
+"toggle between strong and weak consistency during partitions by switching regions" ???
 
 
+
+----
+
 ## Apps
 
-- LogMap
+<img src=fuzzyMaps.png width=600>
+
+- LogMap (corfu)
   - single region, single color
   - `get` waits until a sync that started after sync issue, then accesses local state
   - `put` appends to log, then waits for `sync` to show it applied before returning
+  - poor scalability, performance, availability
 - ShardedMap
   - single region, *multiple* color
-  - says linear scaling with linearizable put/get ops
+  - linear scaling with linearizable put/get ops
   - why?  scaling because can scale colors with num servers
 - AtomicLog
-  - multiple colors, which are serializable (because underlying ops are serializable)
+  - atomic multi-puts (no gets)
+  - multiple colors, which are serializable (because underlying ops
+    are serializable), not linearizability
 - TxMap
   - wants *strict serializability* (externalizable)
   - speculative intention *commit* appends
   - servers playing the intention node append *yes/no* for a specific color based on
-    presence of conflicting ops im log between the original appends and the speculative commits
-  - other servers only apply transaction if they see a *yes* for each color
+    presence of conflicting ops im log between the original appends
+    and the speculative commits (tango)
+  - other servers only apply transaction if they see a *yes* for every used color
 - CRDTMap
-  - CRDT: *conflict-free-replicated-data-type*
+  - CRDT: *convergent-free-replicated-data-type*
+  - *causal* consistency
   - single color, async replication of remote chains
-  - **convergence** through
+  - **convergence** through *observed-remove* sets 
+    - not immediately clear how a CRDT set applies to convergence here
 - CAPMap
   - consistency
-    - strong when to partition
+    - strong when no partition
     - causal otherwise
   - routes put through proxy in a *primary* region, if avail.
 - RedBlueMap:
@@ -97,21 +111,29 @@ Is this true?
   - blue ops not
 
 
-## Multiple-color append
-- to local chains
-- operations within a single region are serializable
-- appends in some serial order
-  - linearizable if to a single color
-  - not necessarily externalizable if to multiple colors
-
-Difference between LogMap and ShardedMap?
-
+## Implementation
+- each color a single partition
+- each partition replicated using *chain-replication*
+- battery backed-up ram for servers
+- local append to single color one phase (send it to the chain replication)
+- local append to multiple colors requires two phases (Skeen's)
+  - logical clocks
+  - *phase 1:* send out multicast w/ proposed timestamp
+  - replies return local timestamps
+  - *phase 2:* send msg again w/ max of local or returned timestamps
+  - order at all destinations with new timestamp
+  - very reminiscent of paxos w/ prepare and accept phases
+<img src=fuzzySkeen.png width=500>
+---
 
-Regions vs machines?
+*Any protocol that provides a total order consistent with a
+ linearizable order (i.e, if an update B starts in real time after
+ another update A completes, then B occurs after A in the total order)
+ is subject to unavailability during network partitions.*
 
-Guarantees of durability?
+### Durability?
 - when is an update "committed"?
 
 
 ## Comments, Questions
-- (patrick) colors maybe difficult to  use
+
diff --git a/notes/fuzzyAPI.png b/notes/fuzzyAPI.png
index 3ab2c9ad63be61b59d6d3701519c60c5b95879b6..99ad17cc7fa0b2c8fb157ab835cdc5935b14dbb0 100644
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