Unison

Content-addressed functional programming language with first-class effects.

Key Concepts

Concept	Description
Content-addressed	Code identified by hash, not name - renames are free
Abilities	Algebraic effects for IO, Exception, Random, Remote
Structural types	Types with same structure are identical
UCM	Unison Codebase Manager - REPL + version control

UCM Commands

# Start UCM
ucm

# Start with specific project
ucm -p myproject/main

# Run compiled program
ucm run.compiled program.uc

# Create codebase at path
ucm -C ./my-codebase

Inside UCM REPL

# Project management
project.create myproject
switch myproject/main

# Add code from scratch file
update
add

# Run a function
run helloWorld

# Compile to executable
compile helloWorld output

# Install library from Share
lib.install @unison/http

# Find definitions
find : Text -> Nat
find map

# View definition
view List.map

# Documentation
docs List.map

# Refactoring (rename is instant!)
move.term oldName newName

Syntax Quick Reference

Functions

-- Type signature
double : Nat -> Nat
double x = x * 2

-- Multi-argument
add : Nat -> Nat -> Nat
add x y = x + y

-- Lambda
List.map (x -> x * 2) [1, 2, 3]

-- Pipeline operator
[1, 2, 3] |> List.map (x -> x * 2) |> List.filter Nat.isEven

Delayed Computations (Thunks)

-- Three equivalent ways to delay
main : '{IO, Exception} ()
main = do printLine "hello"

main : '{IO, Exception} ()
main _ = printLine "hello"

main : '{IO, Exception} ()
main = '(printLine "hello")

-- Force with ! or ()
!main
main()

Pattern Matching

-- Match expression
isEven num = match num with
  n | mod n 2 === 0 -> "even"
  _ -> "odd"

-- Cases shorthand
isEven = cases
  0 -> "zero"
  n | Nat.isEven n -> "even"
  _ -> "odd"

-- As-patterns with @
match Some 12 with
  opt@(Some n) -> "opt binds whole value"
  None -> "none"

Types

-- Sum type (unique by name)
type LivingThings = Animal | Plant | Fungi

-- Recursive type with parameter
structural type Tree a = Empty | Node a (Tree a) (Tree a)

-- Record type (generates accessors)
type Pet = { age: Nat, species: Text, foods: [Text] }

-- Use generated accessors
Pet.age : Pet -> Nat
Pet.age.set : Nat -> Pet -> Pet
Pet.age.modify : (Nat -> Nat) -> Pet -> Pet

Lists

-- Literals
[1, 2, 3]

-- Concatenation
[1, 2] List.++ [3, 4]

-- Cons/snoc
use List +: :+
1 +: [2, 3]     -- [1, 2, 3]
[1, 2] :+ 3    -- [1, 2, 3]

-- Transformations
Nat.range 0 10
  |> List.map (x -> x * 100)
  |> List.filter Nat.isEven
  |> List.foldLeft (+) 0

Text

-- Filter and split
Text.filter isDigit "abc_123_def" |> Text.split ?0
-- ["1", "2", "3"]

-- Pattern matching (regex-like)
Pattern.run (Pattern.capture (Pattern.many (chars "ab"))) "aabb123"
-- Some (["aabb"], "123")

Abilities (Effects)

Abilities are Unison's approach to algebraic effects:

-- Function using abilities
getRandomElem : [a] ->{Abort, Random} a
getRandomElem list =
  index = natIn 0 (List.size list)
  List.at! index list

-- Handle with splitmix (Random) and toOptional (Abort)
toOptional! do splitmix 42 do getRandomElem [1, 2, 3]

Common Abilities

Ability	Purpose	Handler
IO	File, network, console	Runtime
Exception	Raise/catch errors	catch, toEither
Random	Random number generation	splitmix seed
Abort	Early termination	toOptional!
Remote	Distributed computation	Cloud runtime
STM	Software transactional memory	STM.atomically

Exception Handling

nonZero : Nat ->{Exception} Nat
nonZero = cases
  0 -> Exception.raise (Generic.failure "Zero found" 0)
  n -> n

-- Catch returns Either
catch do nonZero 0
-- Left (Failure ...)

catch do nonZero 5
-- Right 5

Distributed Computing

forkedTasks : '{Remote} Nat
forkedTasks = do
  task1 = Remote.fork here! do 1 + 1
  task2 = Remote.fork here! do 2 + 2
  Remote.await task1 + Remote.await task2

Concurrency (STM)

type STM.TQueue a = TQueue (TVar [a]) (TVar Nat)

TQueue.enqueue : a -> TQueue a ->{STM} ()
TQueue.enqueue a = cases
  TQueue elems _ -> TVar.modify elems (es -> a +: es)

-- Atomic block
result = STM.atomically do
  queue = TQueue.fromList [1, 2, 3]
  TQueue.enqueue 4 queue
  TQueue.dequeue queue

File Operations

-- Read file
content = readFileUtf8 (FilePath "data.txt")

-- Write file
FilePath.writeFile (FilePath "out.txt") (Text.toUtf8 "hello")

-- Rename
renameFile (FilePath "old.txt") (FilePath "new.txt")

HTTP (with @unison/http)

myproject/main> lib.install @unison/http

exampleGet : '{IO, Exception, Threads} HttpResponse
exampleGet _ =
  uri = net.URI.parse "https://example.com/api"
  req = do Http.get uri
  Http.run req

Hello World

-- In scratch.u file
helloWorld : '{IO, Exception} ()
helloWorld = do printLine "Hello World"

scratch/main> project.create hello-world
hello-world/main> update
hello-world/main> run helloWorld

-- Or compile to binary
hello-world/main> compile helloWorld hello
$ ucm run.compiled hello.uc

Workflow

1. Write code in any .u file (scratch file)
2. UCM auto-watches and typechecks
3. Use update or add to add to codebase
4. Code stored by hash - refactoring is instant
5. Share via Unison Share (push, pull)

GF(3) Integration

Phase	Trit	Unison Pattern
Validate	-1	Exception, Abort abilities
Coordinate	0	STM, handlers, pipelines
Generate	+1	Remote.fork, IO effects

---

Skill Name: unison
Type: Functional Programming Language
Trit: 0 (ERGODIC - coordination via abilities)
Version: 0.5.49
Platform: Cross-platform (ucm binary)

Scientific Skill Interleaving

This skill connects to the K-Dense-AI/claude-scientific-skills ecosystem:

Graph Theory

• networkx [○] via bicomodule
  • Universal graph hub

Bibliography References

• general: 734 citations in bib.duckdb

Cat# Integration

This skill maps to Cat# = Comod(P) as a bicomodule in the equipment structure:

Trit: 0 (ERGODIC)
Home: Prof
Poly Op: ⊗
Kan Role: Adj
Color: #26D826

GF(3) Naturality

The skill participates in triads satisfying:

(-1) + (0) + (+1) ≡ 0 (mod 3)

This ensures compositional coherence in the Cat# equipment structure.