From f67d1e273075d18c2c495c2a6d70c3c6bfabe7e4 Mon Sep 17 00:00:00 2001 From: Mark Date: Fri, 28 Oct 2022 20:45:39 -0700 Subject: [PATCH] Updated README --- README.md | 103 +++++++++++++++++++++++++++++++++++++------- misc/screenshot.png | Bin 0 -> 100409 bytes pyproject.toml | 16 ++++++- 3 files changed, 102 insertions(+), 17 deletions(-) create mode 100644 misc/screenshot.png diff --git a/README.md b/README.md index 0fc13c0..08394fe 100644 --- a/README.md +++ b/README.md @@ -1,24 +1,95 @@ # Lamb: A Lambda Calculus Engine +![Lamb screenshot](./misc/screenshot.png) + +## Installation + +### Method 1: PyPi (not yet) +1. Put this on PyPi +2. Write these instructions + +### Method 2: Git +1. Clone this repository. +2. Make and enter a [virtual environment](https://docs.python.org/3/library/venv.html). +3. ``cd`` into this directory +4. Run ``pip install .`` +5. Run ``python .`` + +------------------------------------------------- + +## Usage + +Type lambda expressions into the prompt, and Lamb will evaluate them. \ +Use your `\` (backslash) key to type a `λ`. \ +To define macros, use `=`. For example, +``` +~~> T = λab.a +~~> F = λab.a +~~> NOT = λa.a F T +``` + +Note that there are spaces in `λa.a F T`. With no spaces, `aFT` will be parsed as one variable. \ +Lambda functions can only take single-letter, lowercase arguments. `λA.A` is not valid syntax. \ +Unbound variables (upper and lower case) that aren't macros will become free variables. + +Be careful, macros are case-sensitive. If you define a macro `MAC` and accidentally write `mac` in the prompt, `mac` will become a free variable. + +Numbers will automatically be converted to Church numerals. For example, the following line will reduce to `T`. +``` +~~> 3 NOT F +``` + +If an expression takes too long to evaluate, you may interrupt reduction with `Ctrl-C`. + +------------------------------------------------- + +## Commands + +Lamb comes with a few commands. Prefix them with a `:` + +`:help` Prints a help message + +`:clear` Clear the screen + +`:rlimit [int | None]` Set maximum reduction limit. `:rlimit none` sets no limit. + +`:macros` List macros in the current environment. + +`:mdel [macro]` Delete a macro + +`:save [filename]`\ +`:load [filename]` Save or load the current environment to a file. The lines in a file look exactly the same as regular entries in the prompt, but must only contain macro definitions. + +------------------------------------------------- + +## Internals + +Lamb treats each λ expression as a binary tree. Variable binding and reduction are all simple operations on that tree. All the magic happens inside [`nodes.py`](./lamb/nodes.py). + +**Highlights:** + - `TreeWalker` is the iterator we (usually) use to traverse our tree. It walks the "perimeter" of the tree, visiting some nodes multiple times. + - `Node` is the base class for all nodes. Any node has `.left` and `.right` elements, which may be `None` (empty). `Node`s also reference their parent and their direction relative to their parent, to make tree traversal easy. + - Before any reduction is done, variables are bound via `bind_variables`. This prevents accidental conflicts common in many lambda parsers. + +------------------------------------------------- + ## Todo (pre-release): - - $\alpha$-equivalence check - - Prettyprint functions (rename bound variables) - - Write a nice README - - Fix colors - - Print macro content if only a macro is typed + - Make command output accessible in prompt + - Prettyprint functions and rename bound variables + - Prettier colors + - Prevent macro-chaining recursion + - step-by-step reduction + - Show a warning when a free variable is created + - PyPi package + ## Todo: - - History accessible in prompt - - Command and macro autocomplete - - step-by-step reduction - - Syntax highlighting: parenthesis, bound variables, macros, etc - - PyPi package + - Command-line options (load a file, run a set of commands) + - $\alpha$-equivalence check + - Unchurch macro: make church numerals human-readable + - Full-reduce option (expand all macros) + - Print macro content if only a macro is typed - Smart alignment in all printouts - - Full-reduce option - - Free variable warning + - Syntax highlighting: parenthesis, bound variables, macros, etc -## Mention in Docs - - lambda functions only work with single-letter arguments - - church numerals - - how to install \ No newline at end of file diff --git a/misc/screenshot.png b/misc/screenshot.png new file mode 100644 index 0000000000000000000000000000000000000000..5439d02ef4ee0fc3b8cc9847b2856404486ac8d1 GIT binary patch literal 100409 zcmd43cT|(xwl~byt!_oYNRz$=1pxsS0qK^|d+$wp=q+@jqS6FJnslT?C{jXC01@fE zC-fd56e*zvz9+cPIs4pu-ZI{QzB`7PjE85_Y-s!OoVY{Y1ehLv-*fn-!5YO$29Yep7N+tfk30MzHGPU zi01d??Y+Iegm67Aak#b?r2BkMnvon?v{GtdaIV|lk(r_4`ifd}5E+wtc)3UJoXc<` zH<3Xevx;mHd4$+y>%SPj;}E;Ot}9%D!SOPCVh5b!c?p$1)@#Zw^92IuQ&JTNbg9Ii z85|QAH=-RxINGup?yYa*L-1O4HBF|U#jvlH7y{4;^B40!`VqRih~cdW$mDK( z4%1i_p_#&}%4SLtr%&WEL^K7vpLDc=#*%nK6-(Mr=eelN!Bm*AIKfXqWW2_oprOH1 zchCm>kE!wZN5BhWDF%mLYLU|LrsDhG^rVQ~H!7>Pi&sXdG7d 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