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# Iron: Managing Obligations in Higher-Order Concurrent Separation Logic
This repository contains the Iron logic, as described in the POPL'19 paper
"Iron: Managing Obligations in Higher-Order Concurrent Separation Logic" by
"[Iron: Managing Obligations in Higher-Order Concurrent Separation Logic](https://iris-project.org/pdfs/2018-iron.pdf)" by
Aleš Bizjak, Daniel Gratzer, Robbert Krebbers, and Lars Birkedal.
## Building Iron
......@@ -163,71 +163,71 @@ are also defined using the fancy update modality. They may be found in
## A Correspondence of Theorems, Definitions, and Examples in the Paper to the Formalization
While the correspondence between the contents of the paper and the
formalization is discussed above, we have provided an explicit table
for convenience.
The format of the table is as follows: Name of
Theorem/Rule/Definition/Proposition, the name in the formalization,
and the file in the formalization.
- The language definition in Section 2, `expr`, `theories/heap_lang/lang.v`
- `e` and `↦`, `perm` and `↦`, `theories/heap_lang/heap.v`
- Trackable invariants, `fcinv`, `theories/iron_logic/fcinv.v`
- `OPerm(-, -)`, `fcinv_own`, `theories/iron_logic/fcinv.v`
- `DPerm(-, -)`, `fcinv_cancel_own`, `theories/iron_logic/fcinv.v`
- `HOARE-FRAME`, `hoare_frame_r`, `iris-coq/theories/program_logic/hoare.v`
- `HOARE-VAL`, `ht_val`, `iris-coq/theories/program_logic/hoare.v`
- `HOARE-λ`, `pure_rec`, `theories/heap_lang/lifting.v`
- `HOARE-BIND`, `ht_bind`, `iris-coq/theories/program_logic/hoare.v`
- `EMP-SPLIT`, `perm_split`, `theories/heap_lang/heap.v`
- `PT-SPLIT`, `mapsto_uniform`, `theories/heap_lang/heap.v`
- `PT-DISJ`, `mapsto_valid_2`, `theories/heap_lang/heap.v`
- `HOARE-ALLOC`, `wp_alloc`, `theories/heap_lang/lifting.v`
- `HOARE-FREE`, `wp_free`, `theories/heap_lang/lifting.v`
- `HOARE-LOAD`, `wp_load`, `theories/heap_lang/lifting.v`
- `HOARE-STORE`, `wp_store`, `theories/heap_lang/lifting.v`
- `HOARE-FORK-EMP`/`HOARE-FORK-TRUE`, `wp_fork`, `theories/heap_lang/lifting.v`
- `INV-DUP`, `inv_persistent`, `theories/heap_lang/lifting.v`
- `INV-ALLOC`, `inv_alloc`, `iris-coq/theories/base_logic/lib/invariants.v`
- `INV-OPEN`, `inv_open`, `iris-coq/theories/base_logic/lib/invariants.v`
- `TINV-SPLIT`, `fcinv_own_fractional`, `theories/iron_logic/fcinv.v`
- `TINV-DUP`, `fcinv_persistent`, `theories/iron_logic/fcinv.v`
- `TINV-ALLOC`, `fcinv_alloc_named`, `theories/iron_logic/fcinv.v`
- `TINV-OPEN`, `fcinv_open`, `theories/iron_logic/fcinv.v`
- `TINV-DEALLOC`, `fcinv_cancel`, `theories/iron_logic/fcinv.v`
- Uniform with respect to fractions, `Uniform`, `theories/iron_logic/iron.v`
- `HOARE-CONS`, `ht_vs`, `iris-coq/theories/program_logic/hoare.v`
- The rules from Figure 4, `head_step`, `theories/heap_lang/lang.v`
- Theorem 2.1, `heap_adequacy`, `theories/heap_lang/adequacy.v`
- Theorem 2.2, `heap_strong_adequacy`, `theories/heap_lang/adequacy.v`
- `HOARE-PAR`, `par_spec`, `theories/heap_lang/lib/par.v`
- The example from 3.1, `transfer_works1`, `theories/heap_lang/lib/resource_tranfer_par.v`
- The example from 3.2, `transfer_works1`, `theories/heap_lang/lib/resource_tranfer_fork.v`
- The example from 3.3, Several theorems, `theories/heap_lang/lib/message_passing.v`
- The example from 3.4, `program_spec`, `theories/heap_lang/lib/message_passing_example.v`
- The example from 3.5, Several theorems, `theories/heap_lang/lib/{spawn, par}.v`
- Definitions of lifted connectives, Several definitions, `theories/bi/fracpred.v`
- Definition of lifted `↦`, `↦`, `theories/heap_lang/heap.v`
- `LHOARE-FRAME`, `iron_wp_frame_r`, `iris-coq/theories/program_logic/hoare.v`
- `LHOARE-VAL`, `iron_wp_val`, `iris-coq/theories/program_logic/hoare.v`
- `LHOARE-λ`, `pure_rec`, `theories/heap_lang/lifting.v`
- `LHOARE-BIND`, `iron_wp_bind`, `iris-coq/theories/program_logic/hoare.v`
- `LPT-DISJ`, `mapsto_valid_2`, `theories/heap_lang/heap.v`
- `LHOARE-ALLOC`, `iron_wp_alloc`, `theories/heap_lang/lifting.v`
- `LHOARE-FREE`, `iron_wp_free`, `theories/heap_lang/lifting.v`
- `LHOARE-LOAD`, `iron_wp_load`, `theories/heap_lang/lifting.v`
- `LHOARE-STORE`, `iron_wp_store`, `theories/heap_lang/lifting.v`
- `LHOARE-FORK`, `iron_wp_fork`, `theories/heap_lang/lifting.v`
- `LTINV-SPLIT`, `fcinv_own_fractional`, `theories/iron_logic/fcinv.v`
- `LTINV-DUP`, `fcinv_persistent`, `theories/iron_logic/fcinv.v`
- `LTINV-ALLOC`, `fcinv_alloc_named`, `theories/iron_logic/fcinv.v`
- `LTINV-OPEN`, `fcinv_open`, `theories/iron_logic/fcinv.v`
- `LTINV-DEALLOC`, `fcinv_cancel`, `theories/iron_logic/fcinv.v`
- Definition of Hoare triples, `iron_wp`, `theories/iron_logic/weakestpre.v`
- Theorem 4.1, `heap_adequacy`, `theories/heap_lang/adequacy.v`
- Theorem 4.2, `heap_strong_adequacy`, `theories/heap_lang/adequacy.v`
- Definition of WP in Section 5, `wp_def`, `iris-coq/theories/program_logic/weakestpre.v`
- Definition of state interp from Section 5, `heap_ctx`, `theories/heap_lang/heap.v`
- Theorem 5.1, `wp_strong_all_adequacy`, `iris-coq/theories/program_logic/adequacy.v`
While the correspondence between the contents of the paper and the formalization
is discussed above, we also provide an explicit table for convenience.
| Paper definition or theorem | Coq definition or theorem | File |
|-------|--------|---------|
| The language definition in Sec. 3 | `expr` | `iron/theories/heap_lang/lang.v` |
| `𝖊` and `↪` | `perm` and `↦` | `iron/theories/heap_lang/heap.v` |
| Trackable invariants | `fcinv` | `iron/theories/iron_logic/fcinv.v` |
| `OPerm(-, -)` | `fcinv_own` | `iron/theories/iron_logic/fcinv.v` |
| `DPerm(-, -)` | `fcinv_cancel_own` | `iron/theories/iron_logic/fcinv.v` |
| `HOARE-FRAME` | `hoare_frame_r` | `iris-coq/theories/program_logic/hoare.v` |
| `HOARE-VAL` | `ht_val` | `iris-coq/theories/program_logic/hoare.v` |
| `HOARE-λ` | `pure_rec` | `iron/theories/heap_lang/lifting.v` |
| `HOARE-BIND` | `ht_bind` | `iris-coq/theories/program_logic/hoare.v` |
| `EMP-SPLIT` | `perm_split` | `iron/theories/heap_lang/heap.v` |
| `PT-SPLIT` | `mapsto_uniform` | `iron/theories/heap_lang/heap.v` |
| `PT-DISJ` | `mapsto_valid_2` | `iron/theories/heap_lang/heap.v` |
| `HOARE-ALLOC` | `wp_alloc` | `iron/theories/heap_lang/lifting.v` |
| `HOARE-FREE` | `wp_free` | `iron/theories/heap_lang/lifting.v` |
| `HOARE-LOAD` | `wp_load` | `iron/theories/heap_lang/lifting.v` |
| `HOARE-STORE` | `wp_store` | `iron/theories/heap_lang/lifting.v` |
| `HOARE-FORK-EMP`/`HOARE-FORK-TRUE` | `wp_fork` | `iron/theories/heap_lang/lifting.v` |
| `INV-DUP` | `inv_persistent` | `iron/theories/heap_lang/lifting.v` |
| `INV-ALLOC` | `inv_alloc` | `iris-coq/theories/base_logic/lib/invariants.v` |
| `INV-OPEN` | `inv_open` | `iris-coq/theories/base_logic/lib/invariants.v` |
| `TINV-SPLIT` | `fcinv_own_fractional` | `iron/theories/iron_logic/fcinv.v` |
| `TINV-DUP` | `fcinv_persistent` | `iron/theories/iron_logic/fcinv.v` |
| `TINV-ALLOC` | `fcinv_alloc_named` | `iron/theories/iron_logic/fcinv.v` |
| `TINV-OPEN` | `fcinv_open` | `iron/theories/iron_logic/fcinv.v` |
| `TINV-DEALLOC` | `fcinv_cancel` | `iron/theories/iron_logic/fcinv.v` |
| Uniform with respect to fractions | `Uniform` | `iron/theories/iron_logic/iron.v` |
| `HOARE-CONS` | `ht_vs` | `iris-coq/theories/program_logic/hoare.v` |
| The rules from Figure 5 | `head_step` | `iron/theories/heap_lang/lang.v` |
| Theorem 3.1 | `heap_basic_adequacy` | `iron/theories/heap_lang/adequacy.v` |
| Theorem 3.2 | `heap_all_adequacy` | `iron/theories/heap_lang/adequacy.v` |
| `HOARE-PAR` | `par_spec` | `iron/theories/heap_lang/lib/par.v` |
| The example from 4.1 | `transfer_works1` | `iron/theories/heap_lang/lib/resource_transfer_par.v` |
| The rules from Figure 6 | Several theorems | `iron/theories/heap_lang/lib/resource_transfer_sts.v` |
| The example from 4.2 | `transfer_works1` | `iron/theories/heap_lang/lib/resource_transfer_fork.v` |
| The example from 4.3 | Several theorems | `iron/theories/heap_lang/lib/message_passing.v` |
| The queue specifications from 4.3 | Several theorems in Section `queue_bag_spec` | `iron/theories/heap_lang/lib/queue.v` |
| The example from 4.4 | `program_spec` | `iron/theories/heap_lang/lib/message_passing_example.v` |
| The example from 4.5 | Several theorems | `iron/theories/heap_lang/lib/{spawn,par}.v` |
| Definitions of lifted connectives | Several definitions | `iron/theories/bi/fracpred.v` |
| Definition of lifted `↦` | `↦` | `iron/theories/heap_lang/heap.v` |
| `LHOARE-FRAME` | `iron_wp_frame_r` | `iris-coq/theories/program_logic/hoare.v` |
| `LHOARE-VAL` | `iron_wp_val` | `iris-coq/theories/program_logic/hoare.v` |
| `LHOARE-λ` | `pure_rec` | `iron/theories/heap_lang/lifting.v` |
| `LHOARE-BIND` | `iron_wp_bind` | `iris-coq/theories/program_logic/hoare.v` |
| `LPT-DISJ` | `mapsto_valid_2` | `iron/theories/heap_lang/heap.v` |
| `LHOARE-ALLOC` | `iron_wp_alloc` | `iron/theories/heap_lang/lifting.v` |
| `LHOARE-FREE` | `iron_wp_free` | `iron/theories/heap_lang/lifting.v` |
| `LHOARE-LOAD` | `iron_wp_load` | `iron/theories/heap_lang/lifting.v` |
| `LHOARE-STORE` | `iron_wp_store` | `iron/theories/heap_lang/lifting.v` |
| `LHOARE-FORK` | `iron_wp_fork` | `iron/theories/heap_lang/lifting.v` |
| `LTINV-SPLIT` | `fcinv_own_fractional` | `iron/theories/iron_logic/fcinv.v` |
| `LTINV-DUP` | `fcinv_persistent` | `iron/theories/iron_logic/fcinv.v` |
| `LTINV-ALLOC` | `fcinv_alloc_named` | `iron/theories/iron_logic/fcinv.v` |
| `LTINV-OPEN` | `fcinv_open` | `iron/theories/iron_logic/fcinv.v` |
| `LTINV-DEALLOC` | `fcinv_cancel` | `iron/theories/iron_logic/fcinv.v` |
| Definition of Hoare triples | `iron_wp` | `iron/theories/iron_logic/weakestpre.v` |
| Theorem 5.1 | `heap_basic_adequacy` | `iron/theories/heap_lang/adequacy.v` |
| Theorem 5.2 | `heap_all_adequacy` | `iron/theories/heap_lang/adequacy.v` |
| Definition of WP in Section 6 | `wp_def` | `iris-coq/theories/program_logic/weakestpre.v` |
| Definition of state interpretation from Section 6 | `heap_ctx` | `iron/theories/heap_lang/heap.v` |
| Theorem 6.1 | `wp_strong_all_adequacy` | `iris-coq/theories/program_logic/adequacy.v` |
| The lock specifications | Several theorems | `iron/theories/heap_lang/lib/spin_lock_track.v` |
| Adequacy for the lock | `lock_always_freed` | `iron/theories/heap_lang/lib/spin_lock_track.v` |
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