File nft.hh¶

Nondeterministic Finite Transducers including structures, transitions and algorithms.

In particular, this includes:

Structures (Transducer, Transitions, Results, Delta),
Algorithms (operations, checks, tests),
Constructions.

Other algorithms are included in mata::nft::plumbing (simplified API for, e.g., bindings) and mata::nft::algorithms (concrete implementations of algorithms, such as for inclusion).

namespace mata

Main namespace including structs and algorithms for all automata.

In particular, this includes:

Alphabets,
Formula graphs and nodes,
Mintermization,
Closed sets.

namespace nft¶

Typedefs

template<typename ...Ts> using conjunction = std::is_same<bool_pack<true, Ts::value...>, bool_pack<Ts::value..., true>>¶: Check that for all values in a pack Ts are ‘true’.

template<typename T, typename ...Ts> using AreAllOfType = typename conjunction<std::is_same<Ts, T>...>::type¶: Check that all types in a sequence of parameters Ts are of type T.

Functions

Nft union_nondet(const Nft &lhs, const Nft &rhs)¶

Compute non-deterministic union.

Does not add epsilon transitions, just unites initial and final states.

Returns:: Non-deterministic union of lhs and rhs.

Nft union_det_complete(const Nft &lhs, const Nft &rhs) = delete¶

Nft product(const Nft &lhs, const Nft &rhs, ProductFinalStateCondition final_condition, Symbol first_epsilon, std::unordered_map<std::pair<State, State>, State> *prod_map) = delete¶

Nft intersection(const Nft &lhs, const Nft &rhs, std::unordered_map<std::pair<State, State>, State> *prod_map = nullptr, JumpMode jump_mode = JumpMode::RepeatSymbol, State lhs_first_aux_state = Limits::max_state, State rhs_first_aux_state = Limits::max_state)¶

Compute intersection of two NFTs.

Both automata can contain ε-transitions. Epsilons will be handled as alphabet symbols.

Automata must share alphabets. //TODO: this is not implemented yet. Transducers must have equal values of num_of_levels.

Parameters:

lhs – [in] First NFT to compute intersection for.
rhs – [in] Second NFT to compute intersection for.
prod_map – [out] Mapping of pairs of the original states (lhs_state, rhs_state) to new product states (not used internally, allocated only when !=nullptr, expensive).
jump_mode – [in] Specifies if the symbol on a jump transition (a transition with a length greater than 1) is interpreted as a sequence repeating the same symbol or as a single instance of the symbol followed by a sequence of DONT_CARE.
lhs_first_aux_state – [in] The first auxiliary state in lhs. Two auxiliary states does not form a product state.
rhs_first_aux_state – [in] The first auxiliary state in rhs. Two auxiliary states does not form a product state.

Returns:

NFT as a product of NFTs lhs and rhs.

Nft compose(const Nft &lhs, const Nft &rhs, const utils::OrdVector<Level> &lhs_sync_levels, const utils::OrdVector<Level> &rhs_sync_levels, bool project_out_sync_levels = true, JumpMode jump_mode = JumpMode::RepeatSymbol)¶

Composes two NFTs (lhs || rhs; read as “rhs after lhs”).

This function computes the composition of two NFTs, lhs and rhs, by aligning their synchronization levels. Transitions between two synchronization levels are ordered as follows: first the transitions of lhs, then the transitions of rhs followed by next synchronization level (if exists). By default, synchronization levels are projected out from the resulting NFT.

Vectors of synchronization levels have to be non-empty and of the same size.

Parameters:

lhs – [in] First transducer to compose.
rhs – [in] Second transducer to compose.
lhs_sync_levels – [in] Ordered vector of synchronization levels of the lhs.
rhs_sync_levels – [in] Ordered vector of synchronization levels of the rhs.
project_out_sync_levels – [in] Whether we want to project out the synchronization levels.
jump_mode – [in] Specifies if the symbol on a jump transition (a transition with a length greater than 1) is interpreted as a sequence repeating the same symbol or as a single instance of the symbol followed by a sequence of DONT_CARE.

Returns:

A new NFT after the composition.

Nft compose(const Nft &lhs, const Nft &rhs, Level lhs_sync_level = 1, Level rhs_sync_level = 0, bool project_out_sync_levels = true, JumpMode jump_mode = JumpMode::RepeatSymbol)¶

Composes two NFTs (lhs || rhs; read as “rhs after lhs”).

This function computes the composition of two NFTs, lhs and rhs, by aligning their synchronization levels. Transitions between two synchronization levels are ordered as follows: first the transitions of lhs, then the transitions of rhs followed by next synchronization level (if exists). By default, synchronization levels are projected out from the resulting NFT.

Parameters:

lhs – [in] First transducer to compose.
rhs – [in] Second transducer to compose.
lhs_sync_level – [in] The synchronization level of the lhs.
rhs_sync_level – [in] The synchronization level of the rhs.
project_out_sync_levels – [in] Whether we wont to project out the synchronization levels.
jump_mode – [in] Specifies if the symbol on a jump transition (a transition with a length greater than 1) is interpreted as a sequence repeating the same symbol or as a single instance of the symbol followed by a sequence of DONT_CARE.

Returns:

A new NFT after the composition.

Nft concatenate(const Nft &lhs, const Nft &rhs, bool use_epsilon = false, StateRenaming *lhs_state_renaming = nullptr, StateRenaming *rhs_state_renaming = nullptr)¶

Concatenate two NFTs.

Supports epsilon symbols when use_epsilon is set to true.

Parameters:

lhs – [in] First automaton to concatenate.
rhs – [in] Second automaton to concatenate.
use_epsilon – [in] Whether to concatenate over epsilon symbol.
lhs_state_renaming – [out] Map mapping lhs states to result states.
rhs_state_renaming – [out] Map mapping rhs states to result states.

Returns:

Concatenated automaton.

Nft determinize(const Nft &nft, std::unordered_map<StateSet, State> *subset_map = nullptr)¶

Determinize automaton.

Parameters:

nft – [in] Automaton to determinize.
subset_map – [out] Map that maps sets of states of input automaton to states of determinized automaton.

Returns:

Determinized automaton.

Nft reduce(const Nft &aut, StateRenaming *state_renaming = nullptr, const ParameterMap &params = {{"algorithm", "simulation"}})¶

Reduce the size of the automaton.

Parameters:

aut – [in] Automaton to reduce.
state_renaming – [out] Mapping of original states to reduced states.
params – [in] Optional parameters to control the reduction algorithm:
- ”algorithm”: “simulation”.

Returns:

Reduced automaton.

bool is_included(const Nft &smaller, const Nft &bigger, Run *cex, const Alphabet *alphabet = nullptr, JumpMode jump_mode = JumpMode::RepeatSymbol, const ParameterMap &params = {{"algorithm", "antichains"}})¶

Checks inclusion of languages of two NFTs: smaller and bigger (smaller <= bigger).

Parameters:

smaller – [in] First automaton to concatenate.
bigger – [in] Second automaton to concatenate.
cex – [out] Counterexample for the inclusion.
alphabet – [in] Alphabet of both NFTs to compute with.
jump_mode – [in] Specifies if the symbol on a jump transition (a transition with a length greater than 1) is interpreted as a sequence repeating the same symbol or as a single instance of the symbol followed by a sequence of DONT_CARE symbols.
params – [in] Optional parameters to control the equivalence check algorithm:
- ”algorithm”: “naive”, “antichains” (Default: “antichains”)

Returns:

True if smaller is included in bigger, false otherwise.

inline bool is_included(const Nft &smaller, const Nft &bigger, const Alphabet *const alphabet = nullptr, JumpMode jump_mode = JumpMode::RepeatSymbol, const ParameterMap &params = {{"algorithm", "antichains"}})¶

Checks inclusion of languages of two NFTs: smaller and bigger (smaller <= bigger).

Parameters:

smaller – [in] First automaton to concatenate.
bigger – [in] Second automaton to concatenate.
alphabet – [in] Alphabet of both NFTs to compute with.
jump_mode – [in] Specifies if the symbol on a jump transition (a transition with a length greater than 1) is interpreted as a sequence repeating the same symbol or as a single instance of the symbol followed by a sequence of DONT_CARE symbols.
params – [in] Optional parameters to control the equivalence check algorithm:
- ”algorithm”: “naive”, “antichains” (Default: “antichains”)

Returns:

True if smaller is included in bigger, false otherwise.

bool are_equivalent(const Nft &lhs, const Nft &rhs, const Alphabet *alphabet, JumpMode jump_mode = JumpMode::RepeatSymbol, const ParameterMap &params = {{"algorithm", "antichains"}})¶

Perform equivalence check of two NFTs: lhs and rhs.

Parameters:

lhs – [in] First automaton to concatenate.
rhs – [in] Second automaton to concatenate.
alphabet – [in] Alphabet of both NFTs to compute with.
jump_mode – [in] Specifies if the symbol on a jump transition (a transition with a length greater than 1) is interpreted as a sequence repeating the same symbol or as a single instance of the symbol followed by a sequence of DONT_CARE symbols.
params[ – [in] Optional parameters to control the equivalence check algorithm:
- ”algorithm”: “naive”, “antichains” (Default: “antichains”)

Returns:

True if lhs and rhs are equivalent, false otherwise.

bool are_equivalent(const Nft &lhs, const Nft &rhs, JumpMode JumpMode = JumpMode::RepeatSymbol, const ParameterMap &params = {{"algorithm", "antichains"}})¶

Perform equivalence check of two NFTs: lhs and rhs.

The current implementation of Nft does not accept input alphabet. For this reason, an alphabet has to be created from all transitions each time an operation on alphabet is called. When calling this function, the alphabet has to be computed first.

Hence, this function is less efficient than its alternative taking already defined alphabet as its parameter. That way, alphabet has to be computed only once, as opposed to the current ad-hoc construction of the alphabet. The use of the alternative with defined alphabet should be preferred.

Parameters:

lhs – [in] First automaton to concatenate.
rhs – [in] Second automaton to concatenate.
jump_mode – [in] Specifies if the symbol on a jump transition (a transition with a length greater than 1) is interpreted as a sequence repeating the same symbol or as a single instance of the symbol followed by a sequence of DONT_CARE symbols.
params – [in] Optional parameters to control the equivalence check algorithm:
- ”algorithm”: “naive”, “antichains” (Default: “antichains”)

Returns:

True if lhs and rhs are equivalent, false otherwise.

Nft revert(const Nft &aut)¶

Nft fragile_revert(const Nft &aut)¶

Nft simple_revert(const Nft &aut)¶

Nft somewhat_simple_revert(const Nft &aut)¶

Nft invert_levels(const Nft &aut, JumpMode jump_mode = JumpMode::RepeatSymbol)¶

Inverts the levels of the given transducer aut.

The function inverts the levels of the transducer, i.e., the level 0 becomes the last level, level 1 becomes the second last level, and so on.

Parameters:

aut – [in] The transducer for inverting levels.
jump_mode – [in] Specifies if the symbol on a jump transition (a transition with a length greater than 1) is interpreted as a sequence repeating the same symbol or as a single instance of the symbol followed by a sequence of DONT_CARE symbols.

Returns:

A new transducer with inverted levels.

Nft remove_epsilon(const Nft &aut, Symbol epsilon = EPSILON)¶

Remove simple epsilon transitions.

Simple epsilon transitions are the transitions of the form q0 -epsilon-> q1 -epsilon-> q2 -epsilon-> … -epsilon-> qn where q0 and qn are level 0 states, the states in-between are states with level 1, 2, …, num_of_levels and for each qi, for 0 < i < n, there is only 1 transition going to qi (the transition qi-1 -epsilon-> qi) and only 1 transition going from qi (the transition qi -epsilon -> qi+1). This means that if there was some state p0 going with epsilon to q1, these to epsilon transitions would not be removed.

Furthermore, this assumes that the NFT aut does not have jump transitions.

The resulting automaton has the same number of states as aut, just the transitions can change. It is recommended to run trim() after this function.

Parameters:

aut – NFT without jump transitions
epsilon – symbol representing epsilon

Returns:

NFT whose language is same as aut but does not contain simple epsilon transitions

Nft project_out(const Nft &nft, const utils::OrdVector<Level> &levels_to_project, JumpMode jump_mode = JumpMode::RepeatSymbol)¶

Projects out specified levels levels_to_project in the given transducer nft.

Parameters:

nft – [in] The transducer for projection.
levels_to_project – [in] A non-empty ordered vector of levels to be projected out from the transducer. It must contain only values that are greater than or equal to 0 and smaller than num_of_levels.
jump_mode – [in] Specifies if the symbol on a jump transition (a transition with a length greater than 1) is interpreted as a sequence repeating the same symbol or as a single instance of the symbol followed by a sequence of DONT_CARE symbols.

Returns:

A new projected transducer.

Nft project_out(const Nft &nft, Level level_to_project, JumpMode jump_mode = JumpMode::RepeatSymbol)¶

Projects out specified level level_to_project in the given transducer nft.

Parameters:

nft – [in] The transducer for projection.
level_to_project – [in] A level that is going to be projected out from the transducer. It has to be greater than or equal to 0 and smaller than num_of_levels.
jump_mode – [in] Specifies if the symbol on a jump transition (a transition with a length greater than 1) is interpreted as a sequence repeating the same symbol or as a single instance of the symbol followed by a sequence of DONT_CARE symbols.

Returns:

A new projected transducer.

Nft project_to(const Nft &nft, const utils::OrdVector<Level> &levels_to_project, JumpMode jump_mode = JumpMode::RepeatSymbol)¶

Projects to specified levels levels_to_project in the given transducer nft.

Parameters:

nft – [in] The transducer for projection.
levels_to_project – [in] A non-empty ordered vector of levels the transducer is going to be projected to. It must contain only values greater than or equal to 0 and smaller than num_of_levels.
jump_mode – [in] Specifies if the symbol on a jump transition (a transition with a length greater than 1) is interpreted as a sequence repeating the same symbol or as a single instance of the symbol followed by a sequence of DONT_CARE symbols.

Returns:

A new projected transducer.

Nft project_to(const Nft &nft, Level level_to_project, JumpMode jump_mode = JumpMode::RepeatSymbol)¶

Projects to a specified level level_to_project in the given transducer nft.

Parameters:

nft – [in] The transducer for projection.
level_to_project – [in] A level the transducer is going to be projected to. It has to be greater than or equal to 0 and smaller than num_of_levels.
jump_mode – [in] Specifies if the symbol on a jump transition (a transition with a length greater than 1) is interpreted as a sequence repeating the same symbol or as a single instance of the symbol followed by a sequence of DONT_CARE symbols.

Returns:

A new projected transducer.

Nft insert_levels(const Nft &nft, const BoolVector &new_levels_mask, JumpMode jump_mode = JumpMode::RepeatSymbol)¶

Inserts new levels, as specified by the mask new_levels_mask, into the given transducer nft.

num_of_levels must be greater than 0. The vector new_levels_mask must be nonempty, its length must be greater than num_of_levels, and it must contain exactly num_of_levels occurrences of false.

Parameters:

nft – [in] The original transducer.
new_levels_mask – [in] A mask representing the old and new levels. The vector {1, 0, 1, 1, 0} indicates that one level is inserted before level 0 and two levels are inserted before level 1.
jump_mode – [in] Specifies whether the symbol on a jump transition (a transition with a length greater than 1) is interpreted as a sequence repeating the same symbol or as a single instance of the symbol followed by a sequence of DONT_CARE symbols.

Nft insert_level(const Nft &nft, Level new_level, JumpMode jump_mode = JumpMode::RepeatSymbol)¶

Inserts a new level new_level into the given transducer nft.

num_of_levels must be greater than 0.

Parameters:

nft – [in] The original transducer.
new_level – [in] Specifies the new level to be inserted into the transducer. If new_level is 0, then it is inserted before the 0-th level. If new_level is less than num_of_levels, then it is inserted before the level new_level-1. If new_level is greater than or equal to num_of_levels, then all levels from num_of_levels through new_level are appended after the last level.
jump_mode – [in] Specifies whether the symbol on a jump transition (a transition with a length greater than 1) is interpreted as a sequence repeating the same symbol or as a single instance of the symbol followed by a sequence of DONT_CARE symbols.

Run encode_word(const Alphabet *alphabet, const std::vector<std::string> &input)¶: Encodes a vector of strings (each corresponding to one symbol) into a Word instance.

template<bool...> struct bool_pack¶: #include <nft.hh>

Pack of bools for reasoning about a sequence of parameters.

class Nft : public Nfa

#include <nft.hh>

A class representing an NFT.

Public Functions

inline explicit Nft(Delta delta = {}, utils::SparseSet<State> initial_states = {}, utils::SparseSet<State> final_states = {}, Levels levels = {}, Alphabet *alphabet = nullptr): Key value store for additional attributes for the NFT. Keys are attribute names as strings and the value types are up to the user. For example, we can set up attributes such as “state_dict” for state dictionary attribute mapping states to their respective names, or “transition_dict” for transition dictionary adding a human-readable meaning to each transition.

inline explicit Nft(const size_t num_of_states, utils::SparseSet<State> initial_states = {}, utils::SparseSet<State> final_states = {}, Levels levels = {}, Alphabet *alphabet = nullptr)

Construct a new explicit NFT with num_of_states states and optionally set initial and final states.

Parameters:

num_of_states – [in] Number of states for which to preallocate Delta.
initial_states – Initial states of the NFT.
final_states – Final states of the NFT.
levels – Levels of the states.
alphabet – Alphabet of the NFT.

Nft(const Nft &other) = default: Construct a new explicit NFT from other NFT.

inline Nft(Nft &&other) noexcept¶

Nft &operator=(const Nft &other) = default¶

Nft &operator=(Nft &&other) noexcept¶

inline explicit Nft(const mata::nfa::Nfa &other, const size_t num_of_levels = 1, const Level default_level = DEFAULT_LEVEL)

Construct a new NFT with num_of_levels levels from NFA.

All states levels are set to the default_level. The transition function remains the same as in the NFA.

Note: Constructor functions with more options are available in mata::nft::builder.

Parameters:

other – NFA to be converted to NFT.
num_of_levels – Number of levels for the NFT. (default: 1)
default_level – Default level for the states. (default: 0)

inline explicit Nft(Nfa &&other, const size_t num_of_levels = 1, const Level default_level = DEFAULT_LEVEL)

Construct a new NFT with num_of_levels levels from NFA.

All states levels are set to the default_level. The transition function remains the same as in the NFA.

Note: Constructor functions with more options are available in mata::nft::builder.

Parameters:

other – NFA to be converted to NFT.
num_of_levels – Number of levels for the NFT. (default: 1)
default_level – Default level for the states. (default: 0)

inline explicit Nft(const Nfa &other, Levels levels)

Construct a new NFT with num_of_levels levels from NFA.

All states levels are set to the default_level. The transition function remains the same as in the NFA.

Note: Constructor functions with more options are available in mata::nft::builder.

Parameters:

other – NFA to be converted to NFT.
levels – Levels for the states of the NFA other.

inline explicit Nft(Nfa &&other, Levels levels)

Construct a new NFT with num_of_levels levels from NFA.

All states levels are set to the default_level. The transition function remains the same as in the NFA.

Note: Constructor functions with more options are available in mata::nft::builder.

Parameters:

other – NFA to be converted to NFT.
levels – Levels for the states of the NFA other.

Nft &operator=(const Nfa &other) noexcept¶

Nft &operator=(Nfa &&other) noexcept¶

State add_state()

Add a new (fresh) state to the automaton.

Returns:: The newly created state.

State add_state(State state)

Add state state to this if state is not in this yet.

Returns:: The requested state.

State add_state_with_level(Level level)

Add a new (fresh) state to the automaton with level level.

Returns:: The newly created state.

State add_state_with_level(State state, Level level)

Add state state to this with level level if state is not in this yet.

Returns:: The requested state.

size_t num_of_states_with_level(Level level) const

Get the number of states with level level.

Returns:: The number of states with level level.

State insert_word(State source, const Word &word, State target)

Inserts a word into the NFT from a source state source to a target state target.

Creates new states along the path of the word.

If the length of word is less than num_of_levels, then the last symbol of word will form a transition going directly from the last inner state to target.

Parameters:

source – The source state where the word begins. source must already exist.
word – The nonempty word to be inserted into the NFA.
target – The target state where the word ends. target must already exist.

Returns:

The state target where the inserted word ends.

State insert_word(State source, const Word &word)

Inserts a word into the NFT from a source state source to a newly created target state, creating new states along the path of the word.

If the length of word is less than num_of_levels, then the last symbol of word will form a transition going directly from the last inner state to the newly created target.

Parameters:

source – The source state where the word begins. source must already exist.
word – The nonempty word to be inserted into the NFA.

Returns:

The newly created target where the inserted word ends.

State add_transition(State source, const std::vector<Symbol> &symbols, State target)

Add a single NFT transition.

The transition leads from a source state source to a target state target, creating new inner states for all tapes.

If the length of symbols is less than num_of_levels, then the last symbol of symbols will form a jump transition going directly from the last inner state to target.

Parameters:

source – The source state where the NFT transition begins. source must already exist.
symbols – The nonempty set of symbols, one for each tape to be inserted into the NFT.
target – The target state where the NFT transition ends. target must already exist.

Returns:

The target state target.

State add_transition(State source, const std::vector<Symbol> &symbols)

Add a single NFT transition to the NFT from a source state source to a newly created target state, creating new inner states for all tapes.

If the length of symbols is less than num_of_levels, the last symbol of symbols will form a transition going directly from the last inner state to the newly created target.

Parameters:

source – The source state where the transition begins. source must already exist.
symbols – The nonempty set of symbols, one for each tape to be inserted into the NFT.

Returns:

The target state target.

State insert_word_by_parts(State source, const std::vector<Word> &word_parts_on_levels, State target)

Inserts a word, which is created by interleaving parts from word_parts_on_levels, into the NFT from a source state source to a target state target, creating new states along the path of word.

The length of the inserted word equals num_of_levels * the maximum word length in the vector word_parts_on_levels. At least one Word in word_parts_on_levels must be nonempty. The vector word_parts_on_levels must have a size equal to num_of_levels. Words shorter than the maximum word length are interpreted as words followed by a sequence of epsilons to match the maximum length.

Parameters:

source – The source state where the word begins. source must already exist and be of a level 0.
word_parts_on_levels – The vector of word parts, with each part corresponding to a different level.
target – The target state where the word ends. target must already exist and be of a level 0.

Returns:

The state target where the inserted word_parts_on_levels ends.

State insert_word_by_parts(State source, const std::vector<Word> &word_parts_on_levels)

Inserts a word, which is created by interleaving parts from word_parts_on_levels, into the NFT from a source state source to a target state target, creating new states along the path of word.

The length of the inserted word equals num_of_levels * the maximum word length in the vector word_parts_on_levels. At least one Word in word_parts_on_levels must be nonempty. The vector word_parts_on_levels must have a size equal to num_of_levels. Words shorter than the maximum word length are interpreted as words followed by a sequence of epsilons to match the maximum length.

Parameters:

source – The source state where the word begins. source must already exist be of a level 0.
word_parts_on_levels – The vector of word parts, with each part corresponding to a different level.

Returns:

The newly created target where the inserted word_parts_on_levels ends.

Nft &insert_identity(State state, const std::vector<Symbol> &symbols, JumpMode jump_mode = JumpMode::RepeatSymbol)

Inserts identity transitions into the NFT.

Parameters:

state – The state where the identity transition will be inserted. state server as both the source and target state.
symbols – The vector of symbols used for the identity transition. Identity will be created for each symbol in the vector.
jump_mode – Specifies if the symbol on a jump transition (a transition with a length greater than 1) is interpreted as a sequence repeating the same symbol or as a single instance of the symbol followed by a sequence of DONT_CARE symbols.

Returns:

Self with inserted identity.

Nft &insert_identity(State state, const Alphabet *alphabet, JumpMode jump_mode = JumpMode::RepeatSymbol)

Inserts identity transitions into the NFT.

Parameters:

state – The state where the identity transition will be inserted. state server as both the source and target state.
alpahbet – The alphabet with symbols used for the identity transition. Identity will be created for each symbol in the alphabet.
jump_mode – Specifies if the symbol on a jump transition (a transition with a length greater than 1) is interpreted as a sequence repeating the same symbol or as a single instance of the symbol followed by a sequence of DONT_CARE symbols.

Returns:

Self with inserted identity.

Nft &insert_identity(State state, Symbol symbol, JumpMode jump_mode = JumpMode::RepeatSymbol)

Inserts an identity transition into the NFT.

Parameters:

state – The state where the identity transition will be inserted. state server as both the source and target state.
symbol – The symbol used for the identity transition.
jump_mode – Specifies if the symbol on a jump transition (a transition with a length greater than 1) is interpreted as a sequence repeating the same symbol or as a single instance of the symbol followed by a sequence of DONT_CARE symbols.

Returns:

Self with inserted identity.

bool contains_jump_transitions() const: Checks if the transducer contains any jump transition.

void clear()

Clear the underlying NFT to a blank NFT.

The whole NFT is cleared, each member is set to its zero value.

bool is_identical(const Nft &aut) const

Check if this is exactly identical to aut.

This is exact equality of automata, including state numbering (so even stronger than isomorphism), essentially only useful for testing purposes.

Returns:: True if automata are exactly identical, false otherwise.

Nft &trim(StateRenaming *state_renaming = nullptr)

Remove inaccessible (unreachable) and not co-accessible (non-terminating) states in-place.

Remove states which are not accessible (unreachable; state is accessible when the state is the endpoint of a path starting from an initial state) or not co-accessible (non-terminating; state is co-accessible when the state is the starting point of a path ending in a final state).

Parameters:: state_renaming – [out] Mapping of trimmed states to new states.
Returns:: this after trimming.

void remove_epsilon(Symbol epsilon = EPSILON)

Remove simple epsilon transitions from the automaton.

File nft.hh¶

Mata

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