feat(rt): add address allocation model for pointer-to-integer semantics

kmir/src/kmir/kdist/mir-semantics/rt/configuration.md

@@ -8,6 +8,7 @@ Essential parts of the configuration:
 * `currentFrame`, an unpacked version of the top of `stack`
 * the `functions` map to look up function bodies when they are called
 * the `memory` cell which abstracts allocated heap data
+* `addressMap`, `nextAddress`, and `exposedSet` for pointer-to-integer semantics
 
 The entire program's return value (`retVal`) is held in a separate cell.
 
@@ -19,6 +20,8 @@ requires "./value.md"
 module KMIR-CONFIGURATION
   imports INT-SYNTAX
   imports BOOL-SYNTAX
+  imports MAP
+  imports SET
   imports RT-VALUE-SYNTAX
 
   syntax RetVal ::= return( Value )
@@ -45,6 +48,10 @@ module KMIR-CONFIGURATION
                   </currentFrame>
                   // remaining call stack (without top frame)
                   <stack> .List </stack>
+                  // address allocation model for pointer-to-integer casts
+                  <addressMap> .Map </addressMap>
+                  <nextAddress> 4096 </nextAddress>
+                  <exposedSet> .Set </exposedSet>
                 </kmir>
 ```
 

kmir/src/kmir/kdist/mir-semantics/rt/data.md

@@ -18,6 +18,7 @@ module RT-DATA
   imports BYTES
   imports LIST
   imports MAP
+  imports SET
   imports K-EQUAL
 
   imports BODY
@@ -1615,6 +1616,105 @@ What can be supported without additional layout consideration is trivial casts b
       requires lookupTy(TY_SOURCE) ==K lookupTy(TY_TARGET)
 ```
 
+Transmuting a pointer to an integer discards provenance and reinterprets the pointer's
+address as a value of the target integer type.
+The address is computed from a lazily-assigned base address for the allocation plus the
+pointer offset within that allocation, following Miri's approach.
+
+An allocation key uniquely identifies a stack allocation by its stack depth and local index.
+
+```k
+  syntax AllocKey ::= allocKey ( Int , Local ) [symbol(allocKey)]
+  syntax AddrEntry ::= addrEntry ( Int , Int ) [symbol(addrEntry)]
+
+  syntax Int ::= #alignUp ( Int , Int ) [function, total]
+  rule #alignUp(ADDR, ALIGN) => ((ADDR +Int ALIGN -Int 1) /Int ALIGN) *Int ALIGN
+    requires ALIGN >Int 0
+    [preserves-definedness]
+  rule #alignUp(ADDR, _) => ADDR [owise]
+
+  syntax Int ::= #addrEntryBase ( AddrEntry ) [function, total]
+  rule #addrEntryBase(addrEntry(BASE, _)) => BASE
+
+  syntax Int ::= #ptrElemSize ( TypeInfo ) [function, total]
+  rule #ptrElemSize(TY_INFO) => #sizeOf(TY_INFO) requires #sizeOf(TY_INFO) >Int 0
+  rule #ptrElemSize(TY_INFO) => 1               requires #sizeOf(TY_INFO) ==Int 0 // ZST
+  rule #ptrElemSize(_)       => 1                [owise]
+
+  syntax KItem ::= #allocAddressFor ( Int , Local , Int , Int )
+  // #allocAddressFor(STACK_DEPTH, LOCAL, SIZE, ALIGN)
+  // Lazily assigns an aligned base address for the allocation (STACK_DEPTH, LOCAL).
+  rule <k> #allocAddressFor(STACK_DEPTH, LOCAL, SIZE, ALIGN)
+        => .K
+        ...
+       </k>
+       <addressMap>
+         MAP => MAP[allocKey(STACK_DEPTH, LOCAL) <- addrEntry(#alignUp(NEXT, ALIGN), SIZE)]
+       </addressMap>
+       <nextAddress>
+         NEXT => #alignUp(NEXT, ALIGN) +Int maxInt(SIZE, 1)
+       </nextAddress>
+    requires notBool allocKey(STACK_DEPTH, LOCAL) in_keys(MAP)
+
+  // Already allocated: no-op
+  rule <k> #allocAddressFor(STACK_DEPTH, LOCAL, _, _) => .K ... </k>
+       <addressMap> MAP </addressMap>
+    requires allocKey(STACK_DEPTH, LOCAL) in_keys(MAP)
+```
+
+Transmuting a `PtrLocal` to an integer type: look up or lazily assign the base address,
+then compute `base + byte_offset` where byte_offset comes from the pointer's metadata.
+
+```k
+  // Case 1: address already assigned — compute base + offset
+  rule <k> #cast(
+              PtrLocal(STACK_DEPTH, place(LOCAL, _PROJS), _MUT, metadata(_SIZE, PTR_OFFSET, _ORIGIN)),
+              castKindTransmute,
+              TY_SOURCE,
+              TY_TARGET
+            )
+          =>
+            #intAsType(
+              #addrEntryBase({MAP[allocKey(STACK_DEPTH, LOCAL)]}:>AddrEntry)
+                +Int PTR_OFFSET *Int #ptrElemSize(#lookupMaybeTy(pointeeTy(#lookupMaybeTy(TY_SOURCE)))),
+              64,
+              #numTypeOf(lookupTy(TY_TARGET))
+            )
+          ...
+        </k>
+        <addressMap> MAP </addressMap>
+      requires #isIntType(lookupTy(TY_TARGET))
+       andBool allocKey(STACK_DEPTH, LOCAL) in_keys(MAP)
+      [preserves-definedness]
+
+  // Case 2: address not yet assigned — allocate first, original #cast stays on <k>
+  rule <k> #cast(
+              PtrLocal(STACK_DEPTH, place(LOCAL, PROJS), MUT, META),
+              castKindTransmute,
+              TY_SOURCE,
+              TY_TARGET
+            )
+          =>
+            #allocAddressFor(
+              STACK_DEPTH,
+              LOCAL,
+              #sizeOf(#lookupMaybeTy(pointeeTy(#lookupMaybeTy(TY_SOURCE)))),
+              #alignOf(#lookupMaybeTy(pointeeTy(#lookupMaybeTy(TY_SOURCE))))
+            )
+          ~> #cast(
+              PtrLocal(STACK_DEPTH, place(LOCAL, PROJS), MUT, META),
+              castKindTransmute,
+              TY_SOURCE,
+              TY_TARGET
+            )
+          ...
+        </k>
+        <addressMap> MAP </addressMap>
+      requires #isIntType(lookupTy(TY_TARGET))
+       andBool notBool allocKey(STACK_DEPTH, LOCAL) in_keys(MAP)
+      [preserves-definedness]
+```
+
 Other `Transmute` casts that can be resolved are round-trip casts from type A to type B and then directly back from B to A.
 The first cast is reified as a `thunk`, the second one resolves it and eliminates the `thunk`:
 
@@ -1879,12 +1979,121 @@ the safety of this cast. The logic of the semantics and saftey of this cast for
 ```
 
 
+### Pointer provenance casts
+
+`PointerExposeAddress` converts a pointer to an integer (like `ptr as usize`), exposing
+the pointer's provenance so that a future `PointerWithExposedProvenance` cast can recover it.
+
+```k
+  // PointerExposeAddress for PtrLocal: compute address and expose provenance
+  rule <k> #cast(
+              PtrLocal(STACK_DEPTH, place(LOCAL, _PROJS), _MUT, metadata(_SIZE, PTR_OFFSET, _ORIGIN)),
+              castKindPointerExposeAddress,
+              TY_SOURCE,
+              TY_TARGET
+            )
+          =>
+            #intAsType(
+              #addrEntryBase({MAP[allocKey(STACK_DEPTH, LOCAL)]}:>AddrEntry)
+                +Int PTR_OFFSET *Int #ptrElemSize(#lookupMaybeTy(pointeeTy(#lookupMaybeTy(TY_SOURCE)))),
+              64,
+              #numTypeOf(lookupTy(TY_TARGET))
+            )
+          ...
+        </k>
+        <addressMap> MAP </addressMap>
+        <exposedSet> EXPOSED => EXPOSED |Set SetItem(allocKey(STACK_DEPTH, LOCAL)) </exposedSet>
+      requires #isIntType(lookupTy(TY_TARGET))
+       andBool allocKey(STACK_DEPTH, LOCAL) in_keys(MAP)
+      [preserves-definedness]
+
+  rule <k> #cast(
+              PtrLocal(STACK_DEPTH, place(LOCAL, PROJS), MUT, META),
+              castKindPointerExposeAddress,
+              TY_SOURCE,
+              TY_TARGET
+            )
+          =>
+            #allocAddressFor(
+              STACK_DEPTH,
+              LOCAL,
+              #sizeOf(#lookupMaybeTy(pointeeTy(#lookupMaybeTy(TY_SOURCE)))),
+              #alignOf(#lookupMaybeTy(pointeeTy(#lookupMaybeTy(TY_SOURCE))))
+            )
+          ~> #cast(
+              PtrLocal(STACK_DEPTH, place(LOCAL, PROJS), MUT, META),
+              castKindPointerExposeAddress,
+              TY_SOURCE,
+              TY_TARGET
+            )
+          ...
+        </k>
+        <addressMap> MAP </addressMap>
+      requires #isIntType(lookupTy(TY_TARGET))
+       andBool notBool allocKey(STACK_DEPTH, LOCAL) in_keys(MAP)
+      [preserves-definedness]
+
+  // PointerExposeAddress for Reference
+  rule <k> #cast(
+              Reference(STACK_DEPTH, place(LOCAL, _PROJS), _MUT, metadata(_SIZE, PTR_OFFSET, _ORIGIN)),
+              castKindPointerExposeAddress,
+              TY_SOURCE,
+              TY_TARGET
+            )
+          =>
+            #intAsType(
+              #addrEntryBase({MAP[allocKey(STACK_DEPTH, LOCAL)]}:>AddrEntry)
+                +Int PTR_OFFSET *Int #ptrElemSize(#lookupMaybeTy(pointeeTy(#lookupMaybeTy(TY_SOURCE)))),
+              64,
+              #numTypeOf(lookupTy(TY_TARGET))
+            )
+          ...
+        </k>
+        <addressMap> MAP </addressMap>
+        <exposedSet> EXPOSED => EXPOSED |Set SetItem(allocKey(STACK_DEPTH, LOCAL)) </exposedSet>
+      requires #isIntType(lookupTy(TY_TARGET))
+       andBool allocKey(STACK_DEPTH, LOCAL) in_keys(MAP)
+      [preserves-definedness]
+
+  rule <k> #cast(
+              Reference(STACK_DEPTH, place(LOCAL, PROJS), MUT, META),
+              castKindPointerExposeAddress,
+              TY_SOURCE,
+              TY_TARGET
+            )
+          =>
+            #allocAddressFor(
+              STACK_DEPTH,
+              LOCAL,
+              #sizeOf(#lookupMaybeTy(pointeeTy(#lookupMaybeTy(TY_SOURCE)))),
+              #alignOf(#lookupMaybeTy(pointeeTy(#lookupMaybeTy(TY_SOURCE))))
+            )
+          ~> #cast(
+              Reference(STACK_DEPTH, place(LOCAL, PROJS), MUT, META),
+              castKindPointerExposeAddress,
+              TY_SOURCE,
+              TY_TARGET
+            )
+          ...
+        </k>
+        <addressMap> MAP </addressMap>
+      requires #isIntType(lookupTy(TY_TARGET))
+       andBool notBool allocKey(STACK_DEPTH, LOCAL) in_keys(MAP)
+      [preserves-definedness]
+```
+
+`PointerWithExposedProvenance` converts an integer to a pointer (`ptr::with_exposed_provenance`),
+recovering the provenance that was previously exposed.
+
+```k
+  // TODO: PointerWithExposedProvenance requires searching the address map and exposed set
+  //       to recover the original allocation. This is left for future implementation.
+```
+
 ### Other casts involving pointers
 
 | CastKind                     | Description |
 |------------------------------|-------------|
-| PointerExposeAddress         |             |
-| PointerWithExposedProvenance |             |
 | FnPtrToPtr                   |             |
 
 ## Decoding constants from their bytes representation to values

kmir/src/tests/integration/data/prove-rs/ptr-transmute-nonzero.rs

@@ -0,0 +1,11 @@
+/// Test that a stack pointer transmuted to usize is non-zero.
+use std::mem::transmute;
+
+fn main() {
+    let x: u32 = 42;
+    let ptr: *const u32 = &x;
+    unsafe {
+        let addr: usize = transmute(ptr);
+        assert!(addr != 0);
+    }
+}

kmir/src/tests/integration/data/prove-rs/ptr-transmute-two-locals.rs

@@ -0,0 +1,14 @@
+/// Test that two different local pointers transmute to different addresses.
+use std::mem::transmute;
+
+fn main() {
+    let a: u32 = 42;
+    let b: u32 = 99;
+    let pa: *const u32 = &a;
+    let pb: *const u32 = &b;
+    unsafe {
+        let addr_a: usize = transmute(pa);
+        let addr_b: usize = transmute(pb);
+        assert!(addr_a != addr_b);
+    }
+}