Hatt
Hatt is a command-line program which prints truth tables for expressions in
classical propositional logic, and a library allowing its parser, evaluator and
truth table generator to be used in other programs.
Installation
Hatt is available from Hackage. To install it with cabal-install, update
your list of known packages and then install Hatt.
$ cabal update
$ cabal install hatt
To build it from source, cd into the directory containing the Hatt source
files, including hatt.cabal, and run cabal install.
Valid Hatt expressions
The following are all valid expression forms which can be parsed by Hatt, where
ϕ and ψ are metalinguistic variables standing in for any valid expression. The
parser isn't as smart about parentheses as it could be, so you have to follow
these rules quite literally. This shouldn't be a great hardship, but it does
mean that, for example, while (A -> B) is a valid expression, A -> B isn't.
- Variables:
P, Q, R etc.---basically anything in the character class
[A-Z]
- Negation:
~ϕ
- Conjunction:
(ϕ & ψ)
- Disjunction:
(ϕ | ψ)
- Conditional:
(ϕ -> ψ)
- Biconditional:
(ϕ <-> ψ)
Using the hatt command-line program
The default mode is interactive: you start the program, enter expressions at
the prompt, and their truth tables are printed. Here's an example session.
$ hatt
Entering interactive mode. Type `help` if you don't know what to do!
> help
Hatt's interactive mode has a couple of commands.
help
Print this help text.
pretty
Pretty-print expressions using Unicode logic symbols. Only employ this
option if your console is Unicode-aware. If pretty-printing is already
enabled, using this command will disable it.
exit
Quit the program.
If you don't type in a command, the program will assume you're writing a
logical expression to be evaluated and attempt to parse it.
For example, if you enter "(A -> B)" at the prompt, Hatt will print the
truth table for that expression. Here's an example console session.
> (A | B)
A B | (A ∨ B)
-------------
T T | T
T F | T
F T | T
F F | F
> foobar
Error: parse error at (line 1, column 1):
unexpected "f"
expecting white space, "(" or "~"
> exit
If none of this makes any sense, try reading the README file.
> (A -> B)
A B | (A -> B)
--------------
T T | F
T F | F
F T | F
F F | T
> exit
The --evaluate flag lets you pass a single expression to be evaluated
directly.
$ hatt --evaluate="(P -> (Q | ~R))"
P Q R | (P -> (Q | ~R))
-----------------------
T T T | F
T T F | F
T F T | F
T F F | F
F T T | F
F T F | F
F F T | T
F F F | F
By default, hatt will print ASCII representations of expressions. If you have
a Unicode-capable terminal, try passing the --pretty option to pretty-print
expressions using the the more common logical symbols.
$ hatt --evaluate="(P -> (Q | ~R))" --pretty
P Q R | (P → (Q ∨ ¬R))
----------------------
T T T | F
T T F | F
T F T | F
T F F | F
F T T | F
F T F | F
F F T | T
F F F | F
You can enable pretty-printing while in interactive mode by using the pretty
command.
Using Hatt in other programs
Hatt exposes the Data.Logic.Propositional module, which provides a simple API
for parsing, evaluating, and printing truth tables.
