forum: https://internals.rust-lang.org/t/a-formal-look-at-pinning/7236
---
-Recently, a new API for "pinned references" has [landed as a new unstable feature](https://github.com/rust-lang/rust/pull/49058) in the standard library.
+Recently, a new [API for "pinned references"](https://github.com/rust-lang/rfcs/blob/master/text/2349-pin.md) has [landed as a new unstable feature](https://github.com/rust-lang/rust/pull/49058) in the standard library.
The purpose of these references is to express that the data at the memory it points to will not, ever, be moved elsewhere.
-Others have [written](https://boats.gitlab.io/blog/post/2018-03-20-async-vi/) about why this is important in the context of async IO.
-The purpose of this post is to take a closer, more formal look at that API: We are going to take a stab at extending the RustBelt model of types with support for pinning.
+@withoutboats has written about how this [solves](https://boats.gitlab.io/blog/post/2018-03-20-async-vi/) a [problem in the context of async IO](https://boats.gitlab.io/blog/post/2018-01-25-async-i-self-referential-structs/).
+In this post, we take a closer, more formal look at that API: We are going to take a stab at extending the RustBelt model of types with support for pinning.
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borrowed('a, exists |bytes| ptr.points_to_owned(bytes) && T.own(bytes))
-> T.shr('a, ptr)
```
-I am using the usual mathematical quantifiers, with a Rust-y syntax (`forall |var| P` and `exists |var| P`), and `->` for implication.
+This is a formal statement that we have to prove whenever we define `T.own` and `T.shr` for our own type `T`.
+It says that for all lifetimes `'a` and pointers `ptr`, if `borrowed('a, ...)` holds, then `T.shr('a, ptr)` holds.
+I am using the usual mathematical quantifiers, with a Rust-y syntax (`forall |var| ...` and `exists |var| ...`), and `->` for implication.
For disjunction (`||`) and conjunction (`&&`), I follow Rust.
-We also need some way to talk about ownership and contents of memory:
-I will write `ptr.points_to_owned_bytes(bytes)` (where `ptr: Pointer` and `bytes: List<Byte>`) to express that `ptr` points to `bytes.len()` many bytes of memory containing the given `bytes` of data, and that moreover, we *own* that memory.
-Ownership here means that we are free to read, write and deallocate that memory.
+Because Rust types are a lot about pointers and what they point to, we also need some way to talk about memory:
+`ptr.points_to_owned(bytes)` (where `ptr: Pointer` and `bytes: List<Byte>`) means that `ptr` points to `bytes.len()` many bytes of memory containing the given `bytes` of data, and that moreover, we *own* that memory.
+*Ownership* here means that we are free to read, write and deallocate that memory, and that we are the only party that can do so.
-Frequently, it is more convenient to not talk about raw lists of bytes but about some higher-level representation of the bytes, and not care about how exactly that data is laid out in memory.
-For example, we might want to say that `ptr` points to `42` of type `i32` by saying `ptr.points_to_owned(42i32)`.
-We can define a suitable `points_to_owned` as
-```
-ptr.points_to_owned(data: U) where List<Bytes>: TryInto<U> :=
- exists |bytes| bytes.try_into() == Ok(data) && ptr.points_to_owned_bytes(bytes)
-```
-Here, we (ab)use the `TryInto` trait to convert a properly laid out list of bytes into something of type `U`.
-The conversion fails, in particular, if the list does not have exactly the right length.
-If `U == List<Bytes>`, this is just the same as `ptr.points_to_owned_bytes`.
-
-**Update:** In a previous version I called these predicates `mem_own_bytes` and `mem_own`. I decided that `points_to_owned` was actually easier to understand, and it also matches the standard terminology in the literature, so I switched to using that term instead. **/Update**
+**Update:** In a previous version I called this predicate `mem_own`. I decided that `points_to_owned` was actually easier to understand, and it also matches the standard terminology in the literature, so I switched to using that term instead. **/Update**
Finally, `borrowed('a, P)` says that `P` is only temporarily owned, i.e., borrowed, for lifetime `'a`.
-`P` here is a *proposition* or *assertion*, i.e., a statement about what we expect to own. The axiom above is a proposition, as is `ptr.points_to_owned(42i32)`.
-You can think of propositions as a fancy version of `bool` where we can use things like quantifiers or borrowing, and talk about memory and ownership.
+`P` here is a *proposition* or *assertion*, i.e., a statement about what we expect to own. The axiom above is a proposition, as is `ptr.points_to_owned([0, 0])`.
+You can think of propositions as a fancy version of `bool` where we can use things like quantifiers and borrowing, and talk about memory and ownership.
Let us see how we can define the owned typestate of `Box` and mutable reference using this notation:
exists |inner_bytes| ptr.points_to_owned(inner_bytes) && T.own(inner_bytes))
```
-It turns out that using `try_into` like we do above is actually a common pattern.
-We usually do not want to talk directly about the `List<Byte>` but convert them to some higher-level representation first.
+The `:=` means "is defined as"; this is a lot like a function definition in Rust where the part after the `:=` is the function body.
+Notice how we use `try_into` to try to convert a sequence of bytes into a higher-level representation, namely a pointer.
+This relies in `TryInto<U>` being implemented for `List<Byte>`.
+The conversion fails, in particular, if the list of bytes does not have exactly the right length.
+
+It turns out that using `try_into` like we do above is actually a common pattern:
+Often, when we define a predicate on bytes, we do not want to talk directly about the `List<Byte>` but convert them to some higher-level representation first.
To facilitate this, we will typically define `T.own(data: U)` for some `U` such that `List<Byte>: TryInto<U>`, the idea being that the raw list of bytes is first converted to a `U` and the predicate can then directly access the higher-level data in `U`.
This could look as follows:
```
With this choice, it is easy to justify that `read_ref` is safe to execute: When the function begins, we can rely on `SelfReferential.pin(self)`.
If the closure in `self_ref.map` runs, we are in the `Some` case of the `match` so the deref of the pointer obtained from `self_ref` is fine.
+Before we go on, I have to explain what I did with `points_to_owned` above.
+Before I said that this predicate operates on `List<Byte>`, but now I am using it on a pair of an `i32` and an `Option`.
+Again this is an instance of using a higher-level view of memory than a raw list of bytes.
+For example, we might want to say that `ptr` points to `42` of type `i32` by saying `ptr.points_to_owned(42i32)`, without worrying about how to turn that value into a sequence of bytes.
+It turns out that we can define `points_to_owned` in terms of a lower-level `points_to_owned_bytes` that operates on `List<Byte>` as follows:
+```
+ptr.points_to_owned(data: U) where List<Bytes>: TryInto<U> :=
+ exists |bytes| bytes.try_into() == Ok(data) && ptr.points_to_owned_bytes(bytes)
+```
+Just like before, we (ab)use the `TryInto` trait to convert a properly laid out list of bytes into something of type `U`.
+
## Verifying the Pin API
With our notion of types extended with a pinned typestate, we can now justify the `Pin` and `PinBox` API.
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