automaton::properties::BackwardBisimulation Class Reference

#include <BackwardBisimulation.h>

Static Public Member Functions
template<class SymbolType , class StateType >
static ext::set< ext::pair< StateType, StateType > >	backwardBisimulation (const automaton::DFA< SymbolType, StateType > &fta)
template<class SymbolType , class StateType >
static ext::set< ext::pair< StateType, StateType > >	backwardBisimulation (const automaton::NFA< SymbolType, StateType > &fta)
template<class SymbolType , class StateType >
static ext::set< ext::pair< StateType, StateType > >	backwardBisimulation (const automaton::ArcFactoredDeterministicZAutomaton< SymbolType, StateType > &afdza)
template<class SymbolType , class StateType >
static ext::set< ext::pair< StateType, StateType > >	backwardBisimulation (const automaton::ArcFactoredNondeterministicZAutomaton< SymbolType, StateType > &afnza)
template<class SymbolType , class StateType >
static ext::set< ext::pair< StateType, StateType > >	backwardBisimulation (const automaton::DFTA< SymbolType, StateType > &fta)
template<class SymbolType , class StateType >
static ext::set< ext::pair< StateType, StateType > >	backwardBisimulation (const automaton::NFTA< SymbolType, StateType > &fta)
template<class SymbolType , class StateType >
static ext::set< ext::pair< StateType, StateType > >	backwardBisimulation (const automaton::UnorderedDFTA< SymbolType, StateType > &fta)
template<class SymbolType , class StateType >
static ext::set< ext::pair< StateType, StateType > >	backwardBisimulation (const automaton::UnorderedNFTA< SymbolType, StateType > &fta)

Detailed Description

Find all backwardBisimulation pairs of states of DFA. Implements table-filling algorithm, Hopcroft 2nd edition, 4.4.1

Member Function Documentation

backwardBisimulation() [1/8]

template<class SymbolType , class StateType >

ext::set< ext::pair< StateType, StateType > > automaton::properties::BackwardBisimulation::backwardBisimulation ( const automaton::ArcFactoredDeterministicZAutomaton< SymbolType, StateType > &  afdza )

static

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backwardBisimulation() [2/8]

template<class SymbolType , class StateType >

ext::set< ext::pair< StateType, StateType > > automaton::properties::BackwardBisimulation::backwardBisimulation ( const automaton::ArcFactoredNondeterministicZAutomaton< SymbolType, StateType > &  afnza )

static

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backwardBisimulation() [3/8]

template<class SymbolType , class StateType >

ext::set< ext::pair< StateType, StateType > > automaton::properties::BackwardBisimulation::backwardBisimulation ( const automaton::DFA< SymbolType, StateType > &  fta )

static

Computes a relation on states of the DFA satisfying the backward bisimulation definition.

Parameters

fta	the examined automaton

Returns

set of pairs of states of the fta that are the backward bisimulation.

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backwardBisimulation() [4/8]

template<class SymbolType , class StateType >

ext::set< ext::pair< StateType, StateType > > automaton::properties::BackwardBisimulation::backwardBisimulation ( const automaton::DFTA< SymbolType, StateType > &  fta )

static

Computes a relation on states of the DFTA satisfying the backward bisimulation definition.

Parameters

fta	the examined automaton

Returns

set of pairs of states of the fta that are the backward bisimulation.

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backwardBisimulation() [5/8]

template<class SymbolType , class StateType >

ext::set< ext::pair< StateType, StateType > > automaton::properties::BackwardBisimulation::backwardBisimulation ( const automaton::NFA< SymbolType, StateType > &  fta )

static

Computes a relation on states of the NFA satisfying the backward bisimulation definition.

Parameters

fta	the examined automaton

Returns

set of pairs of states of the fta that are the backward bisimulation.

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backwardBisimulation() [6/8]

template<class SymbolType , class StateType >

ext::set< ext::pair< StateType, StateType > > automaton::properties::BackwardBisimulation::backwardBisimulation ( const automaton::NFTA< SymbolType, StateType > &  fta )

static

Computes a relation on states of the NFTA satisfying the backward bisimulation definition.

Parameters

fta	the examined automaton

Returns

set of pairs of states of the fta that are the backward bisimulation.

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backwardBisimulation() [7/8]

template<class SymbolType , class StateType >

ext::set< ext::pair< StateType, StateType > > automaton::properties::BackwardBisimulation::backwardBisimulation ( const automaton::UnorderedDFTA< SymbolType, StateType > &  fta )

static

Computes a relation on states of the DFTA satisfying the backward bisimulation definition.

Parameters

fta	the examined automaton

Returns

set of pairs of states of the fta that are the backward bisimulation.

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backwardBisimulation() [8/8]

template<class SymbolType , class StateType >

ext::set< ext::pair< StateType, StateType > > automaton::properties::BackwardBisimulation::backwardBisimulation ( const automaton::UnorderedNFTA< SymbolType, StateType > &  fta )

static

Computes a relation on states of the NFTA satisfying the backward bisimulation definition.

Parameters

fta	the examined automaton

Returns

set of pairs of states of the fta that are the backward bisimulation.

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

• alib2algo/src/automaton/properties/BackwardBisimulation.h