Algorithms Library Toolkit
A toolkit for algorithms, especially for algorithms on formal languages
Static Public Member Functions
automaton::transform::AutomataUnionMultipleInitialStates Class Reference

#include <AutomataUnionMultipleInitialStates.h>

Static Public Member Functions

template<class SymbolType , class StateType >
static automaton::MultiInitialStateEpsilonNFA< SymbolType, ext::pair< StateType, unsigned > > unification (const automaton::EpsilonNFA< SymbolType, StateType > &first, const automaton::EpsilonNFA< SymbolType, StateType > &second)
 
template<class SymbolType , class StateType >
static automaton::MultiInitialStateNFA< SymbolType, ext::pair< StateType, unsigned > > unification (const automaton::NFA< SymbolType, StateType > &first, const automaton::NFA< SymbolType, StateType > &second)
 
template<class SymbolType , class StateType >
static automaton::MultiInitialStateNFA< SymbolType, ext::pair< StateType, unsigned > > unification (const automaton::DFA< SymbolType, StateType > &first, const automaton::DFA< SymbolType, StateType > &second)
 
template<class SymbolType , class StateType >
static automaton::NFTA< SymbolType, ext::pair< StateType, unsigned > > unification (const automaton::NFTA< SymbolType, StateType > &first, const automaton::NFTA< SymbolType, StateType > &second)
 

Detailed Description

Union of two finite automata. For finite automata A1, A2, we create a finite automaton A such that L(A) = L(A1) \cup L(A2). This method utilizes epsilon transitions in finite automata (Melichar: Jazyky a překlady, 2.73).

Member Function Documentation

◆ unification() [1/4]

template<class SymbolType , class StateType >
automaton::MultiInitialStateNFA< SymbolType, ext::pair< StateType, unsigned > > automaton::transform::AutomataUnionMultipleInitialStates::unification ( const automaton::DFA< SymbolType, StateType > &  first,
const automaton::DFA< SymbolType, StateType > &  second 
)
static

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Returns
multi initial state nondeterministic FA representing the union of two automata
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◆ unification() [2/4]

template<class SymbolType , class StateType >
automaton::MultiInitialStateEpsilonNFA< SymbolType, ext::pair< StateType, unsigned > > automaton::transform::AutomataUnionMultipleInitialStates::unification ( const automaton::EpsilonNFA< SymbolType, StateType > &  first,
const automaton::EpsilonNFA< SymbolType, StateType > &  second 
)
static

Union of two automata using epsilon transitions.

Template Parameters
SymbolTypeType for input symbols.
StateTypeType for states.
Parameters
firstFirst automaton (A1)
secondSecond automaton (A2)
Returns
multi initial state epsilon nondeterministic FA representing the union of two automata
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◆ unification() [3/4]

template<class SymbolType , class StateType >
automaton::MultiInitialStateNFA< SymbolType, ext::pair< StateType, unsigned > > automaton::transform::AutomataUnionMultipleInitialStates::unification ( const automaton::NFA< SymbolType, StateType > &  first,
const automaton::NFA< SymbolType, StateType > &  second 
)
static

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Returns
multi initial state nondeterministic FA representing the union of two automata
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◆ unification() [4/4]

template<class SymbolType , class StateType >
automaton::NFTA< SymbolType, ext::pair< StateType, unsigned > > automaton::transform::AutomataUnionMultipleInitialStates::unification ( const automaton::NFTA< SymbolType, StateType > &  first,
const automaton::NFTA< SymbolType, StateType > &  second 
)
static

Union of two finite tree automata.

Template Parameters
SymbolTypeType for input symbols.
StateTypeType for states.
Parameters
firstFirst automaton (A1)
secondSecond automaton (A2)
Returns
NFTA representing the union of two automata
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The documentation for this class was generated from the following file: