Skip to main content

HeylandAlgebra

oxilean_std::constructive_mathematics::types

Struct HeylandAlgebra 

Source 
pub struct HeylandAlgebra {
    pub carrier: Vec<String>,
}
Expand description

A Heyting algebra: a lattice with a relative pseudo-complement (→).

Fields§

§carrier: Vec<String>

The carrier elements (represented as strings).

Implementations§

Source§

impl HeylandAlgebra

Source

pub fn new(carrier: Vec<String>) -> Self

Create a new HeylandAlgebra.

Source

pub fn is_heyting_algebra(&self) -> bool

Check that this carrier can form a Heyting algebra (non-empty and closed).

Source

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

Heyting algebras provide the algebraic semantics for intuitionistic propositional logic (IPL / IPC).

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

Source§

type Error = Infallible

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

fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

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.