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ModalSystem

Enum ModalSystem 

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pub enum ModalSystem {
    K,
    T,
    S4,
    S5,
    D,
    KD45,
    GL,
    B,
}
Expand description

Identifies a normal modal logic by its axiom schema name.

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K

K: the minimal normal modal logic

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T

T (= M): K + Axiom T (reflexivity)

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S4

S4: T + Axiom 4 (transitivity)

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S5

S5: S4 + Axiom B (symmetry)

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D

D: K + Axiom D (seriality, deontic)

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KD45

KD45: D + Axiom 4 + Axiom 5 (doxastic belief)

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GL

GL: K + Axiom Löb (provability)

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B

B: K + T + B (Brouwer)

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impl ModalSystem

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pub fn name(&self) -> &'static str

Return a human-readable name for the logic.

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pub fn frame_validates(&self, frame: &KripkeFrame, rel: usize) -> bool

Check whether the given frame satisfies the characteristic frame condition.

Trait Implementations§

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impl Clone for ModalSystem

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fn clone(&self) -> ModalSystem

Returns a duplicate of the value. Read more
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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl Debug for ModalSystem

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

Formats the value using the given formatter. Read more
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impl Hash for ModalSystem

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

Feeds this value into the given Hasher. Read more
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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
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impl PartialEq for ModalSystem

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

Tests for self and other values to be equal, and is used by ==.
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fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl Eq for ModalSystem

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impl StructuralPartialEq for ModalSystem

Auto Trait Implementations§

Blanket Implementations§

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

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fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
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impl<T> Borrow<T> for T
where T: ?Sized,

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fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
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impl<T> BorrowMut<T> for T
where T: ?Sized,

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

Mutably borrows from an owned value. Read more
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impl<T> CloneToUninit for T
where T: Clone,

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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
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impl<T> From<T> for T

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fn from(t: T) -> T

Returns the argument unchanged.

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

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fn into(self) -> U

Calls U::from(self).

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

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impl<T> Setoid for T
where T: PartialEq,

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fn equiv(&self, other: &T) -> bool

The equivalence relation.
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fn refl(&self) -> bool

Reflexivity of the equivalence.
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fn symm(&self, other: &Self) -> bool

Symmetry: if self ~ other then other ~ self.
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impl<T> ToOwned for T
where T: Clone,

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type Owned = T

The resulting type after obtaining ownership.
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fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more
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fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more
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impl<T, U> TryFrom<U> for T
where U: Into<T>,

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type Error = Infallible

The type returned in the event of a conversion error.
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fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
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impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

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

The type returned in the event of a conversion error.
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fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.