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PremiseVariables

Enum PremiseVariables 

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pub enum PremiseVariables {
    Schematic,
    Local,
}
Expand description

What a FREE VARIABLE in a knowledge-base equation means.

The chainer serves two callers with two different answers, and the answer is a property of where the knowledge base CAME FROM, not of the search:

  • Equations handed straight to BackwardChainer::add_axiom are a REWRITE SYSTEM. A Peano definition — Add(Zero, n) = n, Add(Succ k, n) = Succ(Add(k, n)) — says nothing at all unless it stands for every instance; read as facts about one fixed k and one fixed n, the pair does not compute 1 + 1. Nothing downstream re-checks such a search, and this is what a standalone chainer is for, so it is the default.
  • Premises of a THEOREM are KERNEL HYPOTHESES. The trust door registers each as a declaration h : P n whose type mentions n as a context LOCAL — Lean’s variable (n : Int) — and verify::close_over_context_locals closes the finished term over exactly those. An INSTANCE of such a hypothesis is a proposition the context does not carry, so no certificate can cite it. A layer whose success is re-checked must therefore read premises AS STATED: the step is not merely uncertifiable, it is not licensed.

Saying which reading is in force is what keeps the honesty invariant STRUCTURAL. The alternative — letting the search build the step and catching it downstream — is the one answer that is wrong either way: a tactic reports a proof and the trust door refuses it.

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Schematic

An equation stands for ALL its instances (a rewrite schema). The default.

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Local

An equation is about the fixed, arbitrary values its free variables name, so only the equation AS STATED is available. Set by every caller whose result the kernel re-checks.

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impl Clone for PremiseVariables

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fn clone(&self) -> PremiseVariables

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 PremiseVariables

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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 Default for PremiseVariables

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fn default() -> PremiseVariables

Returns the “default value” for a type. Read more
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impl PartialEq for PremiseVariables

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fn eq(&self, other: &PremiseVariables) -> 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 Copy for PremiseVariables

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impl Eq for PremiseVariables

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impl StructuralPartialEq for PremiseVariables

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> 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.