Action

vstd_extra::state_machine::action

Struct Action 

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pub struct Action<State, Input, Output> {
    pub precondition: FnSpec<(Input, State), bool>,
    pub transition: FnSpec<(Input, State), (State, Output)>,
}

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§precondition: FnSpec<(Input, State), bool>§transition: FnSpec<(Input, State), (State, Output)>

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impl<State, Input, Output> Action<State, Input, Output>

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pub open spec fn pre(self, input: Input) -> StatePred<State>

{ StatePred::new(|s: State| (self.precondition)(input, s)) }
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pub open spec fn forward(self, input: Input) -> ActionPred<State>

{
    ActionPred::new(|s: State, s_prime: State| {
        &&& (self.precondition)(input, s)
        &&& s_prime == (self.transition)(input, s).0

    })
}
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pub open spec fn weak_fairness(self, input: Input) -> TempPred<State>

{ always(lift_state(self.pre(input))).leads_to(lift_action(self.forward(input))) }
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pub proof fn wf1( self, input: Input, spec: TempPred<State>, next: ActionPred<State>, pre: StatePred<State>, post: StatePred<State>, )

requires
forall |s, s_prime: State| {
    pre.apply(s) && #[trigger] next.apply(s, s_prime)
        ==> pre.apply(s_prime) || post.apply(s_prime)
},
forall |s, s_prime: State| {
    pre.apply(s) && #[trigger] next.apply(s, s_prime)
        && self.forward(input).apply(s, s_prime) ==> post.apply(s_prime)
},
spec.entails(always(lift_action(next))),
spec.entails(always(lift_state(pre).implies(lift_state(self.pre(input))))),
spec.entails(self.weak_fairness(input)),
ensures
spec.entails(lift_state(pre).leads_to(lift_state(post))),
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pub proof fn lemma_statisfy_pre_implies_enabled(self, input: Input, state: State)

requires
self.pre(input).apply(state),
ensures
enabled(self.forward(input)).apply(state),

Auto Trait Implementations§

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impl<State, Input, Output> Freeze for Action<State, Input, Output>

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impl<State, Input, Output> RefUnwindSafe for Action<State, Input, Output>
where Input: RefUnwindSafe, State: RefUnwindSafe, Output: RefUnwindSafe,

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impl<State, Input, Output> Send for Action<State, Input, Output>
where Input: Send, State: Send, Output: Send,

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impl<State, Input, Output> Sync for Action<State, Input, Output>
where Input: Sync, State: Sync, Output: Sync,

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impl<State, Input, Output> Unpin for Action<State, Input, Output>
where Input: Unpin, State: Unpin, Output: Unpin,

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impl<State, Input, Output> UnwindSafe for Action<State, Input, Output>
where Input: UnwindSafe, State: UnwindSafe, Output: UnwindSafe,

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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> From<T> for T

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fn from(t: T) -> T

Returns the argument unchanged.

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impl<T, VERUS_SPEC__A> FromSpec<T> for VERUS_SPEC__A
where VERUS_SPEC__A: From<T>,

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fn obeys_from_spec() -> bool

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fn from_spec(v: T) -> VERUS_SPEC__A

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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, VERUS_SPEC__A> IntoSpec<T> for VERUS_SPEC__A
where VERUS_SPEC__A: Into<T>,

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fn obeys_into_spec() -> bool

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fn into_spec(self) -> T

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

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fn obeys_into_spec() -> bool

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fn into_spec(self) -> U

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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, VERUS_SPEC__A> TryFromSpec<T> for VERUS_SPEC__A
where VERUS_SPEC__A: TryFrom<T>,

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fn obeys_try_from_spec() -> bool

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fn try_from_spec( v: T, ) -> Result<VERUS_SPEC__A, <VERUS_SPEC__A as TryFrom<T>>::Error>

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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.
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impl<T, VERUS_SPEC__A> TryIntoSpec<T> for VERUS_SPEC__A
where VERUS_SPEC__A: TryInto<T>,

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fn obeys_try_into_spec() -> bool

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fn try_into_spec(self) -> Result<T, <VERUS_SPEC__A as TryInto<T>>::Error>

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

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fn obeys_try_into_spec() -> bool

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