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tricu

Introduction

tricu (pronounced like "tree-shoe") is a "micro-language" that I'm working on to investigate Tree Calculus.

tricu means tree in Lojban. This project was named "sapling" until I discovered the name was already being used for other projects in programming language development.

tricu offers a minimal amount of syntax sugar yet provides a complete and intuitive programming environment. tricu offers:

  • t operator behaving by the rules of Tree Calculus
  • Function ("variable") definitions
  • Lambda abstractions
  • List, Number, and String literals

What does it look like?

-- Anything after `--` on a line is a comment
-- We can define functions or "variables" as tree calculus values
false = t 
_ = t
true = t t
-- We can define functions as lambda expressions that are eliminated to tree
-- calculus terms.
id = (\a : a) -- `id` evaluates to the TC form of: t (t (t t)) t
triage = (\a b c : t (t a b) c)
-- Intensionality! We can inspect program structure, not just inputs/outputs:
test = triage "Leaf" (\_ : "Stem") (\_ _ : "Fork")

-- REPL
-- `tricu <` is the input prompt
-- `tricu >` is the Tree Calculus form output. Most are elided below.
-- `READ -:` is an attempt to interpret the TC output as strings/numbers.
tricu < test t
tricu > Fork (Fork Leaf (Fork ...) ... ) 
READ -: "Leaf"
tricu < test (t t)
READ -: "Stem"
tricu < test (t t t)
READ -: "Fork"
tricu < map (\i : listConcat i " is super cool!") [("Tree Calculus") ("Intensionality") ("tricu")]
READ -: ["Tree Calculus is super cool!", "Intensionality is super cool!", "tricu is super cool!"]

Installation

You can easily build and/or run this project using Nix.

  • Build REPL binary: nix build git+https://git.eversole.co/James/tricu
  • Run REPL: nix run git+https://git.eversole.co/James/tricu

Acknowledgements

Tree Calculus was discovered by Barry Jay.

treecalcul.us is an excellent website with an intuitive playground created by Johannes Bader that introduced me to Tree Calculus. If tricu sounds interesting but compiling this repo sounds like a hassle, you should check out his site.

Description
A micro-language for exploring Tree Calculus
Readme
Languages
Haskell 97%
Nix 3%