Deterministic single tape turing machine. Accepts recursive languages. More...

#include <OneTapeDTM.h>

Inheritance diagram for automaton::OneTapeDTM< SymbolTypeT, StateTypeT >:

Collaboration diagram for automaton::OneTapeDTM< SymbolTypeT, StateTypeT >:

Public Types
typedef SymbolTypeT	SymbolType

typedef StateTypeT	StateType

Public Member Functions
	OneTapeDTM (ext::set< StateType > states, ext::set< SymbolType > tapeAlphabet, SymbolType blankSymbol, ext::set< SymbolType > inputAlphabet, StateType initialState, ext::set< StateType > finalStates)
	Creates a new instance of the automaton with a concrete set of states, tape alphabet, blank symbol, input alphabet, initial state, and a set of final states. More...

	OneTapeDTM (StateType initial, SymbolType blank)
	Creates a new instance of the automaton with a concrete initial state and blank symbol. More...

const StateType &	getInitialState () const &

StateType &&	getInitialState () &&

bool	setInitialState (StateType state)

const ext::set< StateType > &	getStates () const &

ext::set< StateType > &&	getStates () &&

bool	addState (StateType state)

void	setStates (ext::set< StateType > states)

void	removeState (const StateType &state)

const ext::set< StateType > &	getFinalStates () const &

ext::set< StateType > &&	getFinalStates () &&

bool	addFinalState (StateType state)

void	setFinalStates (ext::set< StateType > states)

void	removeFinalState (const StateType &state)

const ext::set< SymbolType > &	getInputAlphabet () const &

ext::set< SymbolType > &&	getInputAlphabet () &&

bool	addInputSymbol (SymbolType symbol)

void	addInputSymbols (ext::set< SymbolType > symbols)

void	setInputAlphabet (ext::set< SymbolType > symbols)

void	removeInputSymbol (const SymbolType &symbol)

const ext::set< SymbolType > &	getTapeAlphabet () const &

ext::set< SymbolType > &&	getTapeAlphabet () &&

bool	addTapeSymbol (SymbolType symbol)

void	addTapeSymbols (ext::set< SymbolType > symbols)

void	setTapeAlphabet (ext::set< SymbolType > symbols)

void	removeTapeSymbol (const SymbolType &symbol)

const SymbolType &	getBlankSymbol () const &

SymbolType &&	getBlankSymbol () &&

bool	setBlankSymbol (SymbolType state)

bool	addTransition (StateType from, SymbolType input, StateType to, SymbolType output, Shift shift)
	Add a transition to the automaton. More...

bool	removeTransition (const StateType &from, const SymbolType &input, const StateType &to, const SymbolType &output, const Shift &shift)
	Removes a transition from the automaton. More...

const ext::map< ext::pair< StateType, SymbolType >, ext::tuple< StateType, SymbolType, Shift > > &	getTransitions () const &

ext::map< ext::pair< StateType, SymbolType >, ext::tuple< StateType, SymbolType, Shift > > &&	getTransitions () &&

auto	operator<=> (const OneTapeDTM &other) const

bool	operator== (const OneTapeDTM &other) const

Public Member Functions inherited from core::Components< OneTapeDTM< DefaultSymbolType, DefaultStateType >, ext::set< DefaultSymbolType >, component::Set, std::tuple< TapeAlphabet, InputAlphabet >, DefaultSymbolType, component::Value, BlankSymbol, ext::set< DefaultStateType >, component::Set, std::tuple< States, FinalStates >, DefaultStateType, component::Value, InitialState >
void	accessComponent ()

Friends
ext::ostream &	operator<< (ext::ostream &out, const OneTapeDTM &instance)

Additional Inherited Members
Static Public Member Functions inherited from core::Components< OneTapeDTM< DefaultSymbolType, DefaultStateType >, ext::set< DefaultSymbolType >, component::Set, std::tuple< TapeAlphabet, InputAlphabet >, DefaultSymbolType, component::Value, BlankSymbol, ext::set< DefaultStateType >, component::Set, std::tuple< States, FinalStates >, DefaultStateType, component::Value, InitialState >
static void	registerComponent ()

static void	unregisterComponent ()

Detailed Description

template<class SymbolTypeT = DefaultSymbolType, class StateTypeT = DefaultStateType>
class automaton::OneTapeDTM< SymbolTypeT, StateTypeT >

Deterministic single tape turing machine. Accepts recursive languages.

Definition is classical definition of finite automata. A = (Q, T, G, \delta, I, B, F), Q (States) = nonempty finite set of states, T (TerminalAlphabet) = finite set of terminal symbols - having this empty won't let automaton do much though, G (TapeAlphabet) = finite work alphabet \delta = transition function of the form A \times a -> B \times b \times {-1, 0, 1}, where A, B \in Q \ F and a, b \in G, I (InitialState) = initial state, B (BlankSymbol) = blank symbol F (FinalStates) = set of final states

Template Parameters

SymbolTypeT	used for the terminal alphabet
StateTypeT	used to the states, and the initial state of the automaton.

Member Typedef Documentation

◆ StateType

template<class SymbolTypeT = DefaultSymbolType, class StateTypeT = DefaultStateType>

typedef StateTypeT automaton::OneTapeDTM< SymbolTypeT, StateTypeT >::StateType

◆ SymbolType

template<class SymbolTypeT = DefaultSymbolType, class StateTypeT = DefaultStateType>

typedef SymbolTypeT automaton::OneTapeDTM< SymbolTypeT, StateTypeT >::SymbolType

Constructor & Destructor Documentation

◆ OneTapeDTM() [1/2]

template<class SymbolType , class StateType >

automaton::OneTapeDTM< SymbolType, StateType >::OneTapeDTM	(	ext::set< StateType >	states,
		ext::set< SymbolType >	tapeAlphabet,
		SymbolType	blankSymbol,
		ext::set< SymbolType >	inputAlphabet,
		StateType	initialState,
		ext::set< StateType >	finalStates
	)

explicit

Creates a new instance of the automaton with a concrete set of states, tape alphabet, blank symbol, input alphabet, initial state, and a set of final states.

Parameters

states	the initial set of states of the automaton
tapeAlphabet	the initial tape alphabet of the automaton
blankSymbol	the initial blank symbol of the automaton
inputAlphabet	the initial input alphabet of the automaton
initialState	the initial state of the automaton
finalStates	the initial set of final states of the automaton

◆ OneTapeDTM() [2/2]

template<class SymbolType , class StateType >

automaton::OneTapeDTM< SymbolType, StateType >::OneTapeDTM	(	StateType	initial,
		SymbolType	blank
	)

explicit

Creates a new instance of the automaton with a concrete initial state and blank symbol.

Parameters

initialState	the initial state of the automaton
blankSymbol	the initial blank symbol of the automaton

Member Function Documentation

◆ addFinalState()

template<class SymbolTypeT = DefaultSymbolType, class StateTypeT = DefaultStateType>

bool automaton::OneTapeDTM< SymbolTypeT, StateTypeT >::addFinalState ( StateType state )

inline

Adder of a final state.

Parameters

state the new state to be added to a set of final states

Returns: true if the state was indeed added

◆ addInputSymbol()

template<class SymbolTypeT = DefaultSymbolType, class StateTypeT = DefaultStateType>

bool automaton::OneTapeDTM< SymbolTypeT, StateTypeT >::addInputSymbol ( SymbolType symbol )

inline

Adder of a input symbol.

Parameters

symbol the new symbol to be added to an input alphabet

Returns: true if the symbol was indeed added

◆ addInputSymbols()

template<class SymbolTypeT = DefaultSymbolType, class StateTypeT = DefaultStateType>

void automaton::OneTapeDTM< SymbolTypeT, StateTypeT >::addInputSymbols ( ext::set< SymbolType > symbols )

inline

Adder of input symbols.

Parameters

symbols new symbols to be added to an input alphabet

◆ addState()

template<class SymbolTypeT = DefaultSymbolType, class StateTypeT = DefaultStateType>

bool automaton::OneTapeDTM< SymbolTypeT, StateTypeT >::addState ( StateType state )

inline

Adder of a state.

Parameters

state the new state to be added to a set of states

Returns: true if the state was indeed added

◆ addTapeSymbol()

template<class SymbolTypeT = DefaultSymbolType, class StateTypeT = DefaultStateType>

bool automaton::OneTapeDTM< SymbolTypeT, StateTypeT >::addTapeSymbol ( SymbolType symbol )

inline

Adder of a tape symbol.

Parameters

symbol the new symbol to be added to a tape alphabet

Returns: true if the symbol was indeed added

◆ addTapeSymbols()

template<class SymbolTypeT = DefaultSymbolType, class StateTypeT = DefaultStateType>

void automaton::OneTapeDTM< SymbolTypeT, StateTypeT >::addTapeSymbols ( ext::set< SymbolType > symbols )

inline

Adder of tape symbols.

Parameters

symbols new symbols to be added to an tape alphabet

◆ addTransition()

template<class SymbolType , class StateType >

bool automaton::OneTapeDTM< SymbolType, StateType >::addTransition	(	StateType	from,
		SymbolType	input,
		StateType	to,
		SymbolType	output,
		Shift	shift
	)

Add a transition to the automaton.

The transition is in a form A \times a -> B \times b \times {-1, 0, 1}, where A, B \in Q and a, b \in G

Parameters

current	the source state (A)
input	the tape symbol (a)
next	the target state (B)
output	the tape symbol (b)
shift	the direction of change on the tape

Exceptions

AutomatonException when transition contains state or symbol not present in the automaton components

Returns: true if the transition was indeed added

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◆ getBlankSymbol() [1/2]

template<class SymbolTypeT = DefaultSymbolType, class StateTypeT = DefaultStateType>

SymbolType && automaton::OneTapeDTM< SymbolTypeT, StateTypeT >::getBlankSymbol ( ) &&

inline

Getter of the blank symbol.

Returns: the blank symbol of the automaton

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◆ getBlankSymbol() [2/2]

template<class SymbolTypeT = DefaultSymbolType, class StateTypeT = DefaultStateType>

const SymbolType & automaton::OneTapeDTM< SymbolTypeT, StateTypeT >::getBlankSymbol ( ) const &

inline

Getter of the blank symbol.

Returns: the blank symbol of the automaton

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◆ getFinalStates() [1/2]

template<class SymbolTypeT = DefaultSymbolType, class StateTypeT = DefaultStateType>

ext::set< StateType > && automaton::OneTapeDTM< SymbolTypeT, StateTypeT >::getFinalStates ( ) &&

inline

Getter of final states.

Returns: the final states of the automaton

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◆ getFinalStates() [2/2]

template<class SymbolTypeT = DefaultSymbolType, class StateTypeT = DefaultStateType>

const ext::set< StateType > & automaton::OneTapeDTM< SymbolTypeT, StateTypeT >::getFinalStates ( ) const &

inline

Getter of final states.

Returns: the final states of the automaton

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◆ getInitialState() [1/2]

template<class SymbolTypeT = DefaultSymbolType, class StateTypeT = DefaultStateType>

StateType && automaton::OneTapeDTM< SymbolTypeT, StateTypeT >::getInitialState ( ) &&

inline

Getter of the initial state.

Returns: the initial state of the automaton

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◆ getInitialState() [2/2]

template<class SymbolTypeT = DefaultSymbolType, class StateTypeT = DefaultStateType>

const StateType & automaton::OneTapeDTM< SymbolTypeT, StateTypeT >::getInitialState ( ) const &

inline

Getter of the initial state.

Returns: the initial state of the automaton

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◆ getInputAlphabet() [1/2]

template<class SymbolTypeT = DefaultSymbolType, class StateTypeT = DefaultStateType>

ext::set< SymbolType > && automaton::OneTapeDTM< SymbolTypeT, StateTypeT >::getInputAlphabet ( ) &&

inline

Getter of the input alphabet.

Returns: the input alphabet of the automaton

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◆ getInputAlphabet() [2/2]

template<class SymbolTypeT = DefaultSymbolType, class StateTypeT = DefaultStateType>

const ext::set< SymbolType > & automaton::OneTapeDTM< SymbolTypeT, StateTypeT >::getInputAlphabet ( ) const &

inline

Getter of the input alphabet.

Returns: the input alphabet of the automaton

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◆ getStates() [1/2]

template<class SymbolTypeT = DefaultSymbolType, class StateTypeT = DefaultStateType>

ext::set< StateType > && automaton::OneTapeDTM< SymbolTypeT, StateTypeT >::getStates ( ) &&

inline

Getter of states.

Returns: the states of the automaton

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◆ getStates() [2/2]

template<class SymbolTypeT = DefaultSymbolType, class StateTypeT = DefaultStateType>

const ext::set< StateType > & automaton::OneTapeDTM< SymbolTypeT, StateTypeT >::getStates ( ) const &

inline

Getter of states.

Returns: the states of the automaton

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◆ getTapeAlphabet() [1/2]

template<class SymbolTypeT = DefaultSymbolType, class StateTypeT = DefaultStateType>

ext::set< SymbolType > && automaton::OneTapeDTM< SymbolTypeT, StateTypeT >::getTapeAlphabet ( ) &&

inline

Getter of the tape alphabet.

Returns: the tape alphabet of the automaton

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◆ getTapeAlphabet() [2/2]

template<class SymbolTypeT = DefaultSymbolType, class StateTypeT = DefaultStateType>

const ext::set< SymbolType > & automaton::OneTapeDTM< SymbolTypeT, StateTypeT >::getTapeAlphabet ( ) const &

inline

Getter of the tape alphabet.

Returns: the tape alphabet of the automaton

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◆ getTransitions() [1/2]

template<class SymbolTypeT = DefaultSymbolType, class StateTypeT = DefaultStateType>

ext::map< ext::pair< StateType, SymbolType >, ext::tuple< StateType, SymbolType, Shift > > && automaton::OneTapeDTM< SymbolType, StateType >::getTransitions ( ) &&

Get the transition function of the automaton in its natural form.

Returns: transition function of the automaton

◆ getTransitions() [2/2]

template<class SymbolTypeT = DefaultSymbolType, class StateTypeT = DefaultStateType>

const ext::map< ext::pair< StateType, SymbolType >, ext::tuple< StateType, SymbolType, Shift > > & automaton::OneTapeDTM< SymbolType, StateType >::getTransitions ( ) const &

Get the transition function of the automaton in its natural form.

Returns: transition function of the automaton

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◆ operator<=>()

template<class SymbolTypeT = DefaultSymbolType, class StateTypeT = DefaultStateType>

auto automaton::OneTapeDTM< SymbolTypeT, StateTypeT >::operator<=> ( const OneTapeDTM< SymbolTypeT, StateTypeT > & other ) const

inline

The three way comparison implementation

Parameters

other the other instance

Returns: the ordering between this object and the other.

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◆ operator==()

template<class SymbolTypeT = DefaultSymbolType, class StateTypeT = DefaultStateType>

bool automaton::OneTapeDTM< SymbolTypeT, StateTypeT >::operator== ( const OneTapeDTM< SymbolTypeT, StateTypeT > & other ) const

inline

The equality comparison implementation.

Parameters

other the other object to compare with.

Returns: true if this and other objects are equal, false othervise

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◆ removeFinalState()

template<class SymbolTypeT = DefaultSymbolType, class StateTypeT = DefaultStateType>

void automaton::OneTapeDTM< SymbolTypeT, StateTypeT >::removeFinalState ( const StateType & state )

inline

Remover of a final state.

Parameters

state a state to be removed from a set of final states

Returns: true if the state was indeed removed

◆ removeInputSymbol()

template<class SymbolTypeT = DefaultSymbolType, class StateTypeT = DefaultStateType>

void automaton::OneTapeDTM< SymbolTypeT, StateTypeT >::removeInputSymbol ( const SymbolType & symbol )

inline

Remover of an input symbol.

Parameters

symbol a symbol to be removed from an input alphabet

Returns: true if the symbol was indeed removed

◆ removeState()

template<class SymbolTypeT = DefaultSymbolType, class StateTypeT = DefaultStateType>

void automaton::OneTapeDTM< SymbolTypeT, StateTypeT >::removeState ( const StateType & state )

inline

Remover of a state.

Parameters

state a state to be removed from a set of states

Returns: true if the state was indeed removed

◆ removeTapeSymbol()

template<class SymbolTypeT = DefaultSymbolType, class StateTypeT = DefaultStateType>

void automaton::OneTapeDTM< SymbolTypeT, StateTypeT >::removeTapeSymbol ( const SymbolType & symbol )

inline

Remover of a tape symbol.

Parameters

symbol a symbol to be removed from a tape alphabet

Returns: true if the symbol was indeed removed

◆ removeTransition()

template<class SymbolType , class StateType >

bool automaton::OneTapeDTM< SymbolType, StateType >::removeTransition	(	const StateType &	from,
		const SymbolType &	input,
		const StateType &	to,
		const SymbolType &	output,
		const Shift &	shift
	)

Removes a transition from the automaton.

The transition is in a form A \times a -> B \times b \times {-1, 0, 1}, where A, B \in Q and a, b \in G

Parameters

current	the source state (A)
input	the tape symbol (a)
next	the target state (B)
output	the tape symbol (b)
shift	the direction of change on the tape

Returns: true if the transition was indeed removed

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◆ setBlankSymbol()

template<class SymbolTypeT = DefaultSymbolType, class StateTypeT = DefaultStateType>

bool automaton::OneTapeDTM< SymbolTypeT, StateTypeT >::setBlankSymbol ( SymbolType state )

inline

Setter of the blank symbol.

Parameters

state new blank symbol of the automaton

Returns: true if the blank symbol was indeed changed

◆ setFinalStates()

template<class SymbolTypeT = DefaultSymbolType, class StateTypeT = DefaultStateType>

void automaton::OneTapeDTM< SymbolTypeT, StateTypeT >::setFinalStates ( ext::set< StateType > states )

inline

Setter of final states.

Parameters

states completely new set of final states

◆ setInitialState()

template<class SymbolTypeT = DefaultSymbolType, class StateTypeT = DefaultStateType>

bool automaton::OneTapeDTM< SymbolTypeT, StateTypeT >::setInitialState ( StateType state )

inline

Setter of the initial state.

Parameters

state new initial state of the automaton

Returns: true if the initial state was indeed changed

◆ setInputAlphabet()

template<class SymbolTypeT = DefaultSymbolType, class StateTypeT = DefaultStateType>

void automaton::OneTapeDTM< SymbolTypeT, StateTypeT >::setInputAlphabet ( ext::set< SymbolType > symbols )

inline

Setter of input alphabet.

Parameters

symbols completely new input alphabet

◆ setStates()

template<class SymbolTypeT = DefaultSymbolType, class StateTypeT = DefaultStateType>

void automaton::OneTapeDTM< SymbolTypeT, StateTypeT >::setStates ( ext::set< StateType > states )

inline

Setter of states.

Parameters

states completely new set of states

◆ setTapeAlphabet()

template<class SymbolTypeT = DefaultSymbolType, class StateTypeT = DefaultStateType>

void automaton::OneTapeDTM< SymbolTypeT, StateTypeT >::setTapeAlphabet ( ext::set< SymbolType > symbols )

inline

Setter of tape alphabet.

Parameters

symbols completely new tape alphabet

Friends And Related Function Documentation

◆ operator<<

template<class SymbolTypeT = DefaultSymbolType, class StateTypeT = DefaultStateType>

ext::ostream & operator<<	(	ext::ostream &	out,
		const OneTapeDTM< SymbolTypeT, StateTypeT > &	instance
	)

friend

Print this object as raw representation to ostream.

Parameters

out	ostream where to print
instance	object to print

Returns: modified output stream

The documentation for this class was generated from the following file:

alib2data/src/automaton/TM/OneTapeDTM.h

Public Types

Public Member Functions

Friends

Additional Inherited Members

Detailed Description

Member Typedef Documentation

◆ StateType

◆ SymbolType

Constructor & Destructor Documentation

◆ OneTapeDTM() [1/2]

◆ OneTapeDTM() [2/2]

Member Function Documentation

◆ addFinalState()

◆ addInputSymbol()

◆ addInputSymbols()

◆ addState()

◆ addTapeSymbol()

◆ addTapeSymbols()

◆ addTransition()

◆ getBlankSymbol() [1/2]

◆ getBlankSymbol() [2/2]

◆ getFinalStates() [1/2]

◆ getFinalStates() [2/2]

◆ getInitialState() [1/2]

◆ getInitialState() [2/2]

◆ getInputAlphabet() [1/2]

◆ getInputAlphabet() [2/2]

◆ getStates() [1/2]

◆ getStates() [2/2]

◆ getTapeAlphabet() [1/2]

◆ getTapeAlphabet() [2/2]

◆ getTransitions() [1/2]

◆ getTransitions() [2/2]

◆ operator<=>()

◆ operator==()

◆ removeFinalState()

◆ removeInputSymbol()

◆ removeState()

◆ removeTapeSymbol()

◆ removeTransition()

◆ setBlankSymbol()

◆ setFinalStates()

◆ setInitialState()

◆ setInputAlphabet()

◆ setStates()

◆ setTapeAlphabet()

Friends And Related Function Documentation

◆ operator<<