Commit Graph

23 Commits

Author SHA1 Message Date
5f946de5e8 Remove last remaining assumption for correctness
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-10 21:30:56 -07:00
3d2a507f2f Almost prove correctness
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-09 22:49:53 -07:00
16fa4cd1d8 Use records rather than nested pairs to represent 'fixed height'
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-09 20:11:04 -07:00
f4392b32c0 Finish the last proof obligation for trace walking
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-09 19:01:36 -07:00
794c04eee9 Prove the foldr-implies lemma
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-09 18:37:50 -07:00
80069e76e6 Prove the recursive step of trace walking
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-09 17:56:47 -07:00
20dc99ba1f Re-indent some code to take up less horizontal space
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-09 16:57:03 -07:00
f0b0d51b48 Add unproven lemma about fold implication
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-08 23:38:23 -07:00
8ff88f9f9e Move helper code into separate function
I'll need to reuse it.

Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-08 23:35:02 -07:00
838aaf9c58 Start end-to-end proof of correctness
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-08 23:30:03 -07:00
4ac9dffa9b Prove that the var->lattice maps respect equality
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-08 22:53:21 -07:00
3f5551d70c Add a lemma about the effect of joinAll
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-08 22:34:02 -07:00
5837fdf19b Prove that 'updateAll' has preservation
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-08 22:29:36 -07:00
4350919871 Add proof about setVariablesForState
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-08 22:09:56 -07:00
7fe46b014c Slightly simplify evaluation code
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-08 22:05:50 -07:00
66d229c493 Prove that multi-statement evaluation "preserves" the validity of the analysis
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-08 21:51:53 -07:00
1b8bea8957 Use foldl in multi-statement evaluation
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-08 21:50:38 -07:00
ad4592d4d2 Switch to using implicit arguments where needed
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-08 21:34:17 -07:00
8d0d87d2d9 Start on proofs of correctness
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-08 20:50:21 -07:00
de956cdc6a Split the Language file into modules
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-04-13 18:39:38 -07:00
44f04e4020 Get forward analysis working again
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-04-13 14:08:40 -07:00
5d56a7ce2d Fix comments in Forward.agda
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-03-23 12:09:14 -07:00
2e096bd64e Extract common parts of forward analyses into Forward.agda
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-03-22 17:50:29 -07:00