# 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 │
├───┼───┼────────────┤
│ ⊤ │ ⊤ │     ⊥      │
│ ⊤ │ ⊥ │     ⊤      │
│ ⊥ │ ⊤ │     ⊤      │
│ ⊥ │ ⊥ │     ⊤      │
└───┴───┴────────────┘
```