DFALang

An interpreter of a compact language for working with Deterministic Finite Automata.

Introduction

The language has a simple structure. It allows you to define Deterministic Finite Automata and ask to accept strings by them.

An automaton definition in this language looks like this:

A1 = DFA { \
  S = 4 \
  A = {'a', 'b', 'c'} \
  T = {(1, 'a', 2), (1, 'b', 3), (2, 'c', 4), (3, 'b', 1)} \
  F = {2, 4} \
}

Ask to accept a string with this automaton:

Accept "abc" with A1

or

Accept "abc" with DFA { \
  S = 4 \
  A = {'a', 'b', 'c'} \
  T = {(1, 'a', 2), (1, 'b', 3), (2,'c', 4), (3, 'b', 1)} \
  F = {2, 4} \
}

You can also ask to accept a string with several automata at the same time:

Accept "abc" with {A1, A2, A3}

Render (visualize) several automata with:

Print {A1, A2}

The language grammar.

Program        = {[NewLines] Module}.
Module         = (DefModule | AcceptModule) NewLines.
DefModule      = ID '=' Automaton.
Automaton      = 'DFA' '{' States Alphabet Transitions FinalStates '}'.
PrintModule    = 'Print' IDList
AcceptModule   = 'Accept' STRING 'with' (IDList | Automaton).
States         = 'States'|'S' '=' NUMBER.
Alphabet       = 'Alphabet'|'A' '=' LetterList.
Transitions    = 'Transitions'|'T' '=' TransitionList.
FinalStates    = 'FinalStates'|'F' '=' NumberList.
LetterList     = '{' LETTER {',' LETTER} '}'.
NumberList     = '{' NUMBER {',' NUMBER} '}'.
IDList         = ID | '{' ID {',' ID} '}'.
TransitionList = '{' Transition {',' Transition} '}'.
Transition     = '(' NUMBER ',' LETTER ',' NUMBER ')'.
NewLines       = NL {NL}.

Parse an input script file as:

python Interpreter.py --input_file tests/script1 --output_dir tests/output