Algorithms Library Toolkit
A toolkit for algorithms, especially for algorithms on formal languages
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Deterministic real time height deterministic pushdown automaton. Accepts subset of context free languages. More...
#include <RealTimeHeightDeterministicDPDA.h>
Public Types | |
typedef InputSymbolTypeT | InputSymbolType |
typedef PushdownStoreSymbolTypeT | PushdownStoreSymbolType |
typedef StateTypeT | StateType |
using | StateType_t = StateType |
using | PushdownStoreSymbolType_t = PushdownStoreSymbolType |
Friends | |
ext::ostream & | operator<< (ext::ostream &out, const RealTimeHeightDeterministicDPDA &instance) |
Deterministic real time height deterministic pushdown automaton. Accepts subset of context free languages.
Definition A = (Q, T, G, I, Z, \delta, F), Q (States) = nonempty finite set of states, T (TerminalAlphabet) = finite set of terminal symbols G (PushdownStoreAlphabet) = finite set of pushdown store symbol - having this empty makes the automaton equivalent to DFA I (InitialState) = initial state, Z (BottomOfTheStackSymbol) = initial pushdown store symbol \delta is split to three disjoint parts
The transition functions must meet following criteria. Othervise adding conflicting transition will cause exception. $|\delta_{call} (q, a)| \leq 1$, $\forall q \in Q, a \in T \cup { \eps }$ $|\delta_{return} (q, a, g)| \leq 1$, $\forall q \in Q, a \in T \cup { \eps }, g \in G$ $|\delta_{local} (q, a)| \leq 1$, $\forall q \in Q, a \in T \cup { \eps }$
if $|\delta_{call} (q, \eps)|$ == 1 then $|\delta_{return} (q, a, g)|$ == 0, $|\delta_{local} (q, a)|$ == 0, \forall q \in Q, a \in T \cup { \eps }, and g \in G if $|\delta_{return} (q, \eps, g)|$ == 1 then $|\delta_{call} (q, a)|$ == 0, $|\delta_{return} (q, b, g)|$ == 0, $|\delta_{local} (q, \eps)|$ == 0, \forall q \in Q, a \in T \cup { \eps }, b \in T, and g \in G if $|\delta_{local} (q, \eps)|$ == 1 then $|\delta_{call} (q, a)|$ == 0, $|\delta_{return} (q, a, g)|$ == 0, \forall q \in Q, a \in T \cup { \eps }, and g \in G
if $|\delta_{call} (q, a)|$ == 1 then $|\delta_{call} (q, \eps)|$ == 0, $|\delta_{return} (q, a, g)|$ == 0, $|\delta_{return} (q, \eps, g)|$ == 0, $|\delta_{local} (q, a)|$ == 0, $|\delta_{local} (q, \eps)|$ == 0, \forall q \in Q, a \in T, and g \in G if $|\delta_{return} (q, a, g)|$ == 1 then $|\delta_{call} (q, a)|$ == 0, $|\delta_{call} (q, \eps)|$ == 0, $|\delta_{return} (q, \eps, g)|$ == 0, $|\delta_{local} (q, a)|$ == 0, $|\delta_{local} (q, \eps)|$ == 0, \forall q \in Q, a \in T, and g \in G if $|\delta_{local} (q, a)|$ == 1 then $|\delta_{call} (q, a)|$ == 0, $|\delta_{call} (q, \eps)|$ == 0, $|\delta_{return} (q, a, g)|$ == 0, $|\delta_{return} (q, \eps, g)|$ == 0, $|\delta_{local} (q, \eps)|$ == 0, \forall q \in Q, a \in T, and g \in G
InputSymbolTypeT | used for the terminal alphabet |
PushdownSymbolTypeT | used for the pushdown store alphabet |
StateTypeT | used to the states, and the initial state of the automaton. |
typedef InputSymbolTypeT automaton::RealTimeHeightDeterministicDPDA< InputSymbolTypeT, PushdownStoreSymbolTypeT, StateTypeT >::InputSymbolType |
typedef PushdownStoreSymbolTypeT automaton::RealTimeHeightDeterministicDPDA< InputSymbolTypeT, PushdownStoreSymbolTypeT, StateTypeT >::PushdownStoreSymbolType |
using automaton::RealTimeHeightDeterministicDPDA< InputSymbolTypeT, PushdownStoreSymbolTypeT, StateTypeT >::PushdownStoreSymbolType_t = PushdownStoreSymbolType |
PushdownStoreSymbolType template param
typedef StateTypeT automaton::RealTimeHeightDeterministicDPDA< InputSymbolTypeT, PushdownStoreSymbolTypeT, StateTypeT >::StateType |
using automaton::RealTimeHeightDeterministicDPDA< InputSymbolTypeT, PushdownStoreSymbolTypeT, StateTypeT >::StateType_t = StateType |
StateType template param
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explicit |
Creates a new instance of the automaton with a concrete set of states, call, return, and local alphabets, pushdown store alphabet, initial state, bottom of the stack symbol, and a set of final states.
states | the initial set of states of the automaton |
callAlphabet | the initial input alphabet |
returnAlphabet | the initial input alphabet |
localAlphabet | the initial input alphabet |
pushdownStoreAlphabet | the initial set of symbols used in the pushdown store by the automaton |
initialState | the initial state of the automaton |
bottomOfTheStackSymbol | the initial pushdown symbol of the automaton |
finalStates | the initial set of final states of the automaton |
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Creates a new instance of the automaton with a concrete initial state and bottom of the stack symbol.
initialState | the initial state of the automaton |
bottomOfTheStackSymbol | the bottom of the stack symbol of the automaton |
bool automaton::RealTimeHeightDeterministicDPDA< InputSymbolType, PushdownStoreSymbolType, StateType >::addCallTransition | ( | StateType | from, |
common::symbol_or_epsilon< InputSymbolType > | input, | ||
StateType | to, | ||
PushdownStoreSymbolType | push | ||
) |
Adds a call transition to the automaton.
The transition is in a form A \times a -> B \times g, where A, B \in Q, a \in T \cup { \eps }, and g \in G
from | the source state (A) |
input | the input symbol or epsilon (a) |
to | the target state (B) |
push | symbol to be pushed to the pushdown store on the transition use (g) |
AutomatonException | when transition contains state or symbol not present in the automaton components or when the transition would cause nondeterminism |
bool automaton::RealTimeHeightDeterministicDPDA< InputSymbolType, PushdownStoreSymbolType, StateType >::addCallTransition | ( | StateType | from, |
InputSymbolType | input, | ||
StateType | to, | ||
PushdownStoreSymbolType | push | ||
) |
Adds a call transition to the automaton.
The transition is in a form A \times a -> B \times g, where A, B \in Q, a \in T, and g \in G
from | the source state (A) |
input | the input symbol (a) |
to | the target state (B) |
push | symbol to be pushed to the pushdown store on the transition use (g) |
AutomatonException | when transition contains state or symbol not present in the automaton components or when the transition would cause nondeterminism |
bool automaton::RealTimeHeightDeterministicDPDA< InputSymbolType, PushdownStoreSymbolType, StateType >::addCallTransition | ( | StateType | from, |
StateType | to, | ||
PushdownStoreSymbolType | push | ||
) |
Adds a call transition to the automaton.
The transition is in a form A \times \eps -> B \times g, where A, B \in Q, and g \in G
from | the source state (A) |
to | the target state (B) |
push | symbol to be pushed to the pushdown store on the transition use (g) |
AutomatonException | when transition contains state or symbol not present in the automaton components or when the transition would cause nondeterminism |
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Adder of a final state.
state | the new state to be added to a set of final states |
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Adder of a input symbol.
symbol | the new symbol to be added to an input alphabet |
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Adder of input symbols.
symbols | new symbols to be added to an input alphabet |
bool automaton::RealTimeHeightDeterministicDPDA< InputSymbolType, PushdownStoreSymbolType, StateType >::addLocalTransition | ( | StateType | from, |
common::symbol_or_epsilon< InputSymbolType > | input, | ||
StateType | to | ||
) |
Adds a local transition to the automaton.
The transition is in a form A \times a -> B, where A, B \in Q and a \in T \cup { \eps }
from | the source state (A) |
input | the input symbol or epsilon (a) |
to | the target state (B) |
AutomatonException | when transition contains state or symbol not present in the automaton components or when the transition would cause nondeterminism |
bool automaton::RealTimeHeightDeterministicDPDA< InputSymbolType, PushdownStoreSymbolType, StateType >::addLocalTransition | ( | StateType | from, |
InputSymbolType | input, | ||
StateType | to | ||
) |
Adds a local transition to the automaton.
The transition is in a form A \times a -> B, where A, B \in Q and a \in T
from | the source state (A) |
input | the call input symbol (a) |
to | the target state (B) |
AutomatonException | when transition contains state or symbol not present in the automaton components or when the transition would cause nondeterminism |
bool automaton::RealTimeHeightDeterministicDPDA< InputSymbolType, PushdownStoreSymbolType, StateType >::addLocalTransition | ( | StateType | from, |
StateType | to | ||
) |
Adds a local transition to the automaton.
The transition is in a form A \times \eps -> B, where A, B \in Q
from | the source state (A) |
to | the target state (B) |
AutomatonException | when transition contains state or symbol not present in the automaton components or when the transition would cause nondeterminism |
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Adder of a pushdown store symbol.
symbol | the new symbol to be added to a pushdown store alphabet |
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Adder of pushdown store symbols.
symbols | new symbols to be added to a pushdown store alphabet |
bool automaton::RealTimeHeightDeterministicDPDA< InputSymbolType, PushdownStoreSymbolType, StateType >::addReturnTransition | ( | StateType | from, |
common::symbol_or_epsilon< InputSymbolType > | input, | ||
PushdownStoreSymbolType | pop, | ||
StateType | to | ||
) |
Adds a return transition to the automaton.
The transition is in a form A \times a \times g -> B, where A, B \in Q, a \in T \cup { \eps }, and g \in G
from | the source state (A) |
input | the input symbol or epsilon (a) |
pop | symbol to be poped to the pushdown store on the transition use (g) |
to | the target state (B) |
AutomatonException | when transition contains state or symbol not present in the automaton components or when the transition would cause nondeterminism |
bool automaton::RealTimeHeightDeterministicDPDA< InputSymbolType, PushdownStoreSymbolType, StateType >::addReturnTransition | ( | StateType | from, |
InputSymbolType | input, | ||
PushdownStoreSymbolType | pop, | ||
StateType | to | ||
) |
Adds a return transition to the automaton.
The transition is in a form A \times a \times g -> B, where A, B \in Q, a \in T, and g \in G
from | the source state (A) |
input | the input symbol (a) |
pop | symbol to be poped to the pushdown store on the transition use (g) |
to | the target state (B) |
AutomatonException | when transition contains state or symbol not present in the automaton components or when the transition would cause nondeterminism |
bool automaton::RealTimeHeightDeterministicDPDA< InputSymbolType, PushdownStoreSymbolType, StateType >::addReturnTransition | ( | StateType | from, |
PushdownStoreSymbolType | pop, | ||
StateType | to | ||
) |
Adds a return transition to the automaton.
The transition is in a form A \times \eps \times g -> B, where A, B \in Q, and g \in G
from | the source state (A) |
pop | symbol to be poped to the pushdown store on the transition use (g) |
to | the target state (B) |
AutomatonException | when transition contains state or symbol not present in the automaton components or when the transition would cause nondeterminism |
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Adder of a state.
state | the new state to be added to a set of states |
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Getter of the bottom of the stack symbol.
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Getter of the bottom of the stack symbol.
ext::map< ext::pair< StateType, common::symbol_or_epsilon< InputSymbolType > >, ext::pair< StateType, PushdownStoreSymbolType > > && automaton::RealTimeHeightDeterministicDPDA< InputSymbolType, PushdownStoreSymbolType, StateType >::getCallTransitions | ( | ) | && |
Get the call transition function of the automaton in its natural form.
const ext::map< ext::pair< StateType, common::symbol_or_epsilon< InputSymbolType > >, ext::pair< StateType, PushdownStoreSymbolType > > & automaton::RealTimeHeightDeterministicDPDA< InputSymbolType, PushdownStoreSymbolType, StateType >::getCallTransitions | ( | ) | const & |
Get the call transition function of the automaton in its natural form.
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Getter of final states.
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Getter of final states.
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Getter of the initial state.
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Getter of the initial state.
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Getter of the input alphabet.
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Getter of the input alphabet.
ext::map< ext::pair< StateType, common::symbol_or_epsilon< InputSymbolType > >, StateType > && automaton::RealTimeHeightDeterministicDPDA< InputSymbolType, PushdownStoreSymbolType, StateType >::getLocalTransitions | ( | ) | && |
Get the local transition function of the automaton in its natural form.
const ext::map< ext::pair< StateType, common::symbol_or_epsilon< InputSymbolType > >, StateType > & automaton::RealTimeHeightDeterministicDPDA< InputSymbolType, PushdownStoreSymbolType, StateType >::getLocalTransitions | ( | ) | const & |
Get the local transition function of the automaton in its natural form.
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Getter of the pushdown store alphabet.
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Getter of the pushdown store alphabet.
ext::map< ext::tuple< StateType, common::symbol_or_epsilon< InputSymbolType >, PushdownStoreSymbolType >, StateType > && automaton::RealTimeHeightDeterministicDPDA< InputSymbolType, PushdownStoreSymbolType, StateType >::getReturnTransitions | ( | ) | && |
Get the return transition function of the automaton in its natural form.
const ext::map< ext::tuple< StateType, common::symbol_or_epsilon< InputSymbolType >, PushdownStoreSymbolType >, StateType > & automaton::RealTimeHeightDeterministicDPDA< InputSymbolType, PushdownStoreSymbolType, StateType >::getReturnTransitions | ( | ) | const & |
Get the return transition function of the automaton in its natural form.
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Getter of states.
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Getter of states.
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The three way comparison implementation
other | the other instance |
other
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The equality comparison implementation.
other | the other object to compare with. |
bool automaton::RealTimeHeightDeterministicDPDA< InputSymbolType, PushdownStoreSymbolType, StateType >::removeCallTransition | ( | const StateType & | from, |
const common::symbol_or_epsilon< InputSymbolType > & | input, | ||
const StateType & | to, | ||
const PushdownStoreSymbolType & | push | ||
) |
Removes a call transition from the automaton.
The transition is in a form A \times a -> B \times g, where A, B \in Q, a \in T \cup { \eps }, and g \in G
from | the source state (A) |
input | the input symbol or epsilon (a) |
to | the target state (B) |
push | symbol to be pushed to the pushdown store on the transition use (g) |
AutomatonException | when removed transition left hand side was found but the right hand side did not match. |
bool automaton::RealTimeHeightDeterministicDPDA< InputSymbolType, PushdownStoreSymbolType, StateType >::removeCallTransition | ( | const StateType & | from, |
const InputSymbolType & | input, | ||
const StateType & | to, | ||
const PushdownStoreSymbolType & | push | ||
) |
Removes a call transition from the automaton.
The transition is in a form A \times a -> B \times g, where A, B \in Q, a \in T, and g \in G
from | the source state (A) |
input | the input symbol (a) |
to | the target state (B) |
push | symbol to be pushed to the pushdown store on the transition use (g) |
AutomatonException | when removed transition left hand side was found but the right hand side did not match. |
bool automaton::RealTimeHeightDeterministicDPDA< InputSymbolType, PushdownStoreSymbolType, StateType >::removeCallTransition | ( | const StateType & | from, |
const StateType & | to, | ||
const PushdownStoreSymbolType & | push | ||
) |
Removes a call transition from the automaton.
The transition is in a form A \times \eps -> B \times g, where A, B \in Q, and g \in G
from | the source state (A) |
to | the target state (B) |
push | symbol to be pushed to the pushdown store on the transition use (g) |
AutomatonException | when removed transition left hand side was found but the right hand side did not match. |
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Remover of a final state.
state | a state to be removed from a set of final states |
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Remover of an input symbol.
symbol | a symbol to be removed from an input alphabet |
bool automaton::RealTimeHeightDeterministicDPDA< InputSymbolType, PushdownStoreSymbolType, StateType >::removeLocalTransition | ( | const StateType & | from, |
const common::symbol_or_epsilon< InputSymbolType > & | input, | ||
const StateType & | to | ||
) |
Removes a local transition from the automaton.
The transition is in a form A \times a -> B, where A, B \in Q and a \in T \cup { \eps }
from | the source state (A) |
input | the input symbol or epsilon (a) |
to | the target state (B) |
AutomatonException | when removed transition left hand side was found but the right hand side did not match. |
bool automaton::RealTimeHeightDeterministicDPDA< InputSymbolType, PushdownStoreSymbolType, StateType >::removeLocalTransition | ( | const StateType & | from, |
const InputSymbolType & | input, | ||
const StateType & | to | ||
) |
Removes a local transition from the automaton.
The transition is in a form A \times a -> B, where A, B \in Q and a \in T
from | the source state (A) |
input | the input symbol (a) |
to | the target state (B) |
AutomatonException | when removed transition left hand side was found but the right hand side did not match. |
bool automaton::RealTimeHeightDeterministicDPDA< InputSymbolType, PushdownStoreSymbolType, StateType >::removeLocalTransition | ( | const StateType & | from, |
const StateType & | to | ||
) |
Removes a local transition from the automaton.
The transition is in a form A \times \eps -> B, where A, B \in Q
from | the source state (A) |
to | the target state (B) |
AutomatonException | when removed transition left hand side was found but the right hand side did not match. |
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Remover of an pushdown store symbol.
symbol | a symbol to be removed from a pushdown store alphabet |
bool automaton::RealTimeHeightDeterministicDPDA< InputSymbolType, PushdownStoreSymbolType, StateType >::removeReturnTransition | ( | const StateType & | from, |
const common::symbol_or_epsilon< InputSymbolType > & | input, | ||
const PushdownStoreSymbolType & | pop, | ||
const StateType & | to | ||
) |
Removes a return transition from the automaton.
The transition is in a form A \times a \times g -> B, where A, B \in Q, a \in T \cup { \eps }, and g \in G
from | the source state (A) |
input | the input symbol or epsilon (a) |
pop | symbol to be poped to the pushdown store on the transition use (g) |
to | the target state (B) |
AutomatonException | when removed transition left hand side was found but the right hand side did not match. |
bool automaton::RealTimeHeightDeterministicDPDA< InputSymbolType, PushdownStoreSymbolType, StateType >::removeReturnTransition | ( | const StateType & | from, |
const InputSymbolType & | input, | ||
const PushdownStoreSymbolType & | pop, | ||
const StateType & | to | ||
) |
Removes a return transition from the automaton.
The transition is in a form A \times a \times g -> B, where A, B \in Q, a \in T, and g \in G
from | the source state (A) |
input | the input symbol (a) |
pop | symbol to be poped to the pushdown store on the transition use (g) |
to | the target state (B) |
AutomatonException | when removed transition left hand side was found but the right hand side did not match. |
bool automaton::RealTimeHeightDeterministicDPDA< InputSymbolType, PushdownStoreSymbolType, StateType >::removeReturnTransition | ( | const StateType & | from, |
const PushdownStoreSymbolType & | pop, | ||
const StateType & | to | ||
) |
Removes a return transition from the automaton.
The transition is in a form A \times \eps \times g -> B, where A, B \in Q, and g \in G
from | the source state (A) |
pop | symbol to be poped to the pushdown store on the transition use (g) |
to | the target state (B) |
AutomatonException | when removed transition left hand side was found but the right hand side did not match. |
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Remover of a state.
state | a state to be removed from a set of states |
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Setter of the bottom of the stack symbol.
symbol | new bottom of the stack symbol of the automaton |
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Setter of final states.
states | completely new set of final states |
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Setter of the initial state.
state | new initial state of the automaton |
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Setter of input alphabet.
symbols | completely new input alphabet |
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Setter of a pushdown store alphabet.
symbols | completely new pushdown store alphabet |
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Setter of states.
states | completely new set of states |
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Print this object as raw representation to ostream.
out | ostream where to print |
instance | object to print |