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Expansion of testing suite to cover incl. library

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Expands the testing suite to verify behavior of provided library
functions. Updates the README further for clarification on important
concepts.
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James Eversole
2024-12-29 10:28:32 -06:00
committed by James Eversole
parent 7a7ee6886a
commit f41c92fa9d
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README.md
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## Introduction
tricu (pronounced like "tree-shoe") is a "micro-language" that [I'm](https://eversole.co) working on to investigate [Tree Calculus](https://github.com/barry-jay-personal/typed_tree_calculus/blob/main/typed_program_analysis.pdf).
tricu (pronounced like the words "tree-shoe" in English) is a language that [I'm](https://eversole.co) working on to investigate [Tree Calculus](https://github.com/barry-jay-personal/typed_tree_calculus/blob/main/typed_program_analysis.pdf).
tricu [means tree in Lojban](https://en.wiktionary.org/wiki/Appendix:Lojban/tricu). This project was named "sapling" until I discovered the name was already being used for other projects in programming language development.
tricu is the word for "tree" in Lojban (`(x1) is a tree of species/cultivar (x2)`). This project was named "sapling" until I discovered the name is already being used for other (completely unrelated) programming language development projects.
tricu offers a minimal amount of syntax sugar yet provides a complete and intuitive programming environment. tricu offers:
tricu offers minimal syntax sugar yet manages to provide a complete, intuitive, and familiar programming environment. There is great power in simplicity. tricu offers:
- `t` operator behaving by the rules of Tree Calculus
- Function ("variable") definitions
- Lambda abstractions
- List, Number, and String literals
1. `t` operator behaving by the rules of Tree Calculus
1. Function definitions/assignments
1. Lambda abstractions eliminated to Tree Calculus forms
1. List, Number, and String literals
1. Parentheses intuitively grouping function application
These basic features move us cleanly out of the [turing tarpit](https://en.wikipedia.org/wiki/Turing_tarpit) territory that you may find yourself in if you try working only with the `t` operator.
## What does it look like?
```
-- Anything after `--` on a line is a comment
-- We can define functions or "variables" as tree calculus values
-- 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.
-- 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: