43 lines
1.6 KiB
Markdown
43 lines
1.6 KiB
Markdown
# Truth Table
|
||
This is a simple truth table generator. For more information about truth tables,
|
||
please see the [relevant Wikipedia article][1].
|
||
|
||
[1]: https://en.wikipedia.org/wiki/Truth_table
|
||
|
||
To build, just run `make`. You will need SBCL, as well as Quicklisp. Quicklisp
|
||
is used to load `uiop` and `with-user-abort`.
|
||
|
||
The format of the input propositions is fairly free-form. The above Wikipedia
|
||
article has some information about their format, as well as possible symbols for
|
||
operators. You can also take a look at the table near the top of
|
||
`truth-table.lisp` for all the variations supported by this program.
|
||
|
||
Here is the help output from the program:
|
||
```text
|
||
usage: truth-table [options] <propositions...>
|
||
|
||
-h, --help print this message, then exit
|
||
-f, --format=<arg> specify the output format (*unicode*, ascii, or latex)
|
||
-s, --subexps include sub-expressions in the output table
|
||
-n, --no-vars do not include variables in the output table
|
||
-m, --multi-char allow multi-character variable names
|
||
-i, --no-implicit do not use implicit 'and' operations
|
||
|
||
The choice surrounded by '*' is the default. Arguments to long
|
||
options are also required for their short variant.
|
||
```
|
||
|
||
Here is an example truth table:
|
||
```text
|
||
$ truth-table '(a /\ b) -> ~b'
|
||
|
||
┌───┬───┬────────────┐
|
||
│ a │ b │ a ∧ b → ¬b │
|
||
├───┼───┼────────────┤
|
||
│ ⊤ │ ⊤ │ ⊥ │
|
||
│ ⊤ │ ⊥ │ ⊤ │
|
||
│ ⊥ │ ⊤ │ ⊤ │
|
||
│ ⊥ │ ⊥ │ ⊤ │
|
||
└───┴───┴────────────┘
|
||
```
|