Skip to main content

Algebra

Enum Algebra 

Source
pub enum Algebra {
    Kleene,
    Lukasiewicz,
    Bochvar,
}
Expand description

三值逻辑的语义体系。

Variants§

§

Kleene

Kleene 强三值逻辑:X 表示“不知道”,运算在不确定时产出 X。

§

Lukasiewicz

Łukasiewicz 三值模糊逻辑:X 是 0 与 1 之间的不确定值。

§

Bochvar

Bochvar 弱三值逻辑:X 是“毒值”,沾上 X 即为 X。

Implementations§

Source§

impl Algebra

Source

pub const ALL: [Self; 3]

全部语义体系。

Source

pub const fn as_str(self) -> &'static str

语义体系的稳定短名,用于 CLI 与序列化。

Source

pub fn parse(s: &str) -> Option<Self>

解析语义名称,接受 kleene / k3、lukasiewicz / l3 / luk / bochvar / b3。

Source

pub const fn is_poisonous(self) -> bool

该语义下 X 是否是吸收元(Bochvar 毒值语义)。

Source

pub const fn not(self, a: Ternary) -> Ternary

逻辑否定 ¬。三种语义一致:¬X = X。

Source

pub const fn and(self, a: Ternary, b: Ternary) -> Ternary

逻辑与 ∧。

K3 / Ł3:格序 min(X 是中间元)。B3:X 吸收。

Source

pub const fn or(self, a: Ternary, b: Ternary) -> Ternary

逻辑或 ∨。

K3 / Ł3:格序 max(X 是中间元)。B3:X 吸收。

Source

pub const fn strong_add(self, a: Ternary, b: Ternary) -> Ternary

强加法 ⊕。

  • Łukasiewicz:min(1, a + b),X ⊕ X = 1。
  • Kleene:0/1 上为 max(0, a + b - 1),X 传播为 X。
  • Bochvar:X 是毒值,沾上即 X。
Source

pub const fn strong_and(self, a: Ternary, b: Ternary) -> Ternary

强合取 ⊗。

  • Łukasiewicz:max(0, a + b - 1),X ⊗ X = 0。
  • Kleene / Bochvar:X 传播为 X。
Source

pub const fn implies(self, a: Ternary, b: Ternary) -> Ternary

蕴含 ⇒。

  • Kleene:材料蕴含 ¬a ∨ b。
  • Łukasiewicz:MV 蕴含 min(1, 1 - a + b),故 X ⇒ X = 1。
  • Bochvar:X 是毒值,沾上即 X。
Source

pub const fn equiv(self, a: Ternary, b: Ternary) -> Ternary

等价 ≡:(a ⇒ b) ∧ (b ⇒ a)。

Trait Implementations§

Source§

impl Clone for Algebra

Source§

fn clone(&self) -> Self

Returns a duplicate of the value. Read more
1.0.0 (const: unstable) · Source§

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
Source§

impl Copy for Algebra

Source§

impl Debug for Algebra

Source§

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter. Read more
Source§

impl<'de> Deserialize<'de> for Algebra

Source§

fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>
where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer. Read more
Source§

impl Display for Algebra

Source§

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter. Read more
Source§

impl Eq for Algebra

Source§

impl Hash for Algebra

Source§

fn hash<__H: Hasher>(&self, state: &mut __H)

Feeds this value into the given Hasher. Read more
1.3.0 · Source§

fn hash_slice<H>(data: &[Self], state: &mut H)
where H: Hasher, Self: Sized,

Feeds a slice of this type into the given Hasher. Read more
Source§

impl PartialEq for Algebra

Source§

fn eq(&self, other: &Self) -> bool

Equality operator ==. Read more
1.0.0 (const: unstable) · Source§

fn ne(&self, other: &Rhs) -> bool

Inequality operator !=. Read more
Source§

impl Serialize for Algebra

Source§

fn serialize<__S>(&self, __serializer: __S) -> Result<__S::Ok, __S::Error>
where __S: Serializer,

Serialize this value into the given Serde serializer. Read more
Source§

impl StructuralPartialEq for Algebra

Auto Trait Implementations§

Blanket Implementations§

Source§

impl<T> Any for T
where T: 'static + ?Sized,

Source§

fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
Source§

impl<T> Borrow<T> for T
where T: ?Sized,

Source§

fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
Source§

impl<T> BorrowMut<T> for T
where T: ?Sized,

Source§

fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more
Source§

impl<T> CloneToUninit for T
where T: Clone,

Source§

unsafe fn clone_to_uninit(&self, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dest. Read more
Source§

impl<T> DeserializeOwned for T
where T: for<'de> Deserialize<'de>,

Source§

impl<T> From<T> for T

Source§

fn from(t: T) -> T

Returns the argument unchanged.

Source§

impl<T, U> Into<U> for T
where U: From<T>,

Source§

fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

Source§

impl<T> ToOwned for T
where T: Clone,

Source§

type Owned = T

The resulting type after obtaining ownership.
Source§

fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more
Source§

fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more
Source§

impl<T> ToString for T
where T: Display + ?Sized,

Source§

fn to_string(&self) -> String

Converts the given value to a String. Read more
Source§

impl<T, U> TryFrom<U> for T
where U: Into<T>,

Source§

type Error = !

The type returned in the event of a conversion error.
Source§

fn try_from(value: U) -> Result<T, !>

Performs the conversion.
Source§

impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

Source§

type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.
Source§

fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.