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