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Quantales

Struct Quantales 

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pub struct Quantales {
    pub quantale: String,
}
Expand description

A quantale: a complete lattice with an associative binary operation that distributes over arbitrary joins. Quantales model substructural logics.

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§quantale: String

Name of the quantale.

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impl Quantales

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pub fn new(quantale: impl Into<String>) -> Self

Create a new quantale.

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pub fn is_linear_category(&self) -> bool

Check if this quantale is a model of linear logic (a *-autonomous quantale).

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pub fn star_autonomous(&self) -> String

Check if this is a *-autonomous (star-autonomous) category.

A *-autonomous category is a symmetric monoidal category with a dualizing object, giving models of classical linear logic (MLL).

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pub fn free_star_autonomous(atoms: &[&str]) -> Self

The free *-autonomous category on a set of atoms.

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pub fn phase_space_quantale(monoid: &str) -> Self

The phase space quantale over a monoid.

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pub fn chu_construction(&self, k: &str) -> String

The Chu construction: a way to build *-autonomous categories.

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pub fn dualizing_object(&self) -> String

The dualizing object (bottom element in MLL models).

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impl Clone for Quantales

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fn clone(&self) -> Quantales

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 Quantales

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

Formats the value using the given formatter. Read more

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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> 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.