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

#include <MinimizeByPartitioning.h>

Static Public Member Functions

template<class T >
requires isDFA < T > || isNFA < T >
static FA< T > minimize (const T &nfa, const ext::set< ext::set< typename T::StateType > > &partitions)
 
template<class T >
requires isDFTA < T > || isNFTA < T >
static FTA< T > minimize (const T &dfta, const ext::set< ext::set< typename T::StateType > > &partitions)
 
template<class T >
requires isUnorderedDFTA < T > || isUnorderedNFTA < T >
static UnorderedFTA< T > minimize (const T &dfta, const ext::set< ext::set< typename T::StateType > > &partitions)
 

Detailed Description

Minimization of finite automata using distinguishable states method from Hopcroft 4.4.1 - 4.4.3 for finite automata

See also
automaton::simplify::Minimize
automaton::simplify::MinimizeBrzozowski

Member Function Documentation

◆ minimize() [1/3]

template<class T >
requires isDFTA < T > || isNFTA < T >
static FTA< T > automaton::simplify::MinimizeByPartitioning::minimize ( const T &  dfta,
const ext::set< ext::set< typename T::StateType > > &  partitions 
)
static

Aggregates the given automaton with respect to a state partitioning.

Template Parameters
SymbolTypeType for input symbols.
StateTypeType for states.
Parameters
dftadeterministic finite tree automaton to minimize.
partitionsstate partitioning
Returns
Minimal deterministic finite tree automaton equivalent to dfa

◆ minimize() [2/3]

template<class T >
requires isUnorderedDFTA < T > || isUnorderedNFTA < T >
static UnorderedFTA< T > automaton::simplify::MinimizeByPartitioning::minimize ( const T &  dfta,
const ext::set< ext::set< typename T::StateType > > &  partitions 
)
static

Aggregates the given automaton with respect to a state partitioning.

Template Parameters
SymbolTypeType for input symbols.
StateTypeType for states.
Parameters
dftadeterministic unordered finite tree automaton to minimize.
partitionsstate partitioning
Returns
Minimal deterministic unordered finite tree automaton equivalent to dfa

◆ minimize() [3/3]

template<class T >
requires isDFA < T > || isNFA < T >
static FA< T > automaton::simplify::MinimizeByPartitioning::minimize ( const T &  nfa,
const ext::set< ext::set< typename T::StateType > > &  partitions 
)
static

Aggregates the given automaton with respect to a state partitioning.

Template Parameters
SymbolTypeType for input symbols.
StateTypeType for states.
Parameters
nfadeterministic finite automaton to minimize.
partitionsstate partitioning
Returns
Minimal deterministic finite automaton equivalent to nfa

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