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Author SHA1 Message Date
Danila Fedorin 7d2928ed81 Prove that the sign analysis is correct 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-05-10 22:31:47 -07:00
Danila Fedorin 5f946de5e8 Remove last remaining assumption for correctness 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-05-10 21:30:56 -07:00
Danila Fedorin 3d2a507f2f Almost prove correctness 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-05-09 22:49:53 -07:00
Danila Fedorin 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
Danila Fedorin 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
Danila Fedorin 794c04eee9 Prove the foldr-implies lemma 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-05-09 18:37:50 -07:00
Danila Fedorin 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
Danila Fedorin 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
Danila Fedorin f0b0d51b48 Add unproven lemma about fold implication 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-05-08 23:38:23 -07:00
Danila Fedorin 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
Danila Fedorin 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
Danila Fedorin 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
Danila Fedorin 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
Danila Fedorin 5837fdf19b Prove that 'updateAll' has preservation 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-05-08 22:29:36 -07:00
Danila Fedorin 4350919871 Add proof about setVariablesForState 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-05-08 22:09:56 -07:00
Danila Fedorin 7fe46b014c Slightly simplify evaluation code 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-05-08 22:05:50 -07:00
Danila Fedorin 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
Danila Fedorin 1b8bea8957 Use foldl in multi-statement evaluation 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-05-08 21:50:38 -07:00
Danila Fedorin 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
Danila Fedorin 8d0d87d2d9 Start on proofs of correctness 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-05-08 20:50:21 -07:00
Danila Fedorin 3859826293 Define interpretation of the sign lattice 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-04-30 21:58:41 -07:00
Danila Fedorin de956cdc6a Split the Language file into modules 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-04-13 18:39:38 -07:00
Danila Fedorin 44f04e4020 Get forward analysis working again 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-04-13 14:08:40 -07:00
Danila Fedorin 5d56a7ce2d Fix comments in Forward.agda 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-23 12:09:14 -07:00
Danila Fedorin 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
Danila Fedorin 1a7b2a1736 Adjust behavior of eval to not require constant 'k in vars' threading 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-22 17:15:40 -07:00
Danila Fedorin f0da9a9020 Move more code out of Sign and into Main 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-11 13:07:42 -07:00
Danila Fedorin 040c13caba Use instances to simplify printing code 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-11 12:50:05 -07:00
Danila Fedorin 3e88a64ed9 Add some debugging code to sign analysis to print the results 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-10 22:23:45 -07:00
Danila Fedorin 8a85c4497c Prove that evaluation is monotonic and complete sign analysis 
Other than monotonicity of plus and minus, god damn it.

Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-10 21:25:46 -07:00
Danila Fedorin 8964ba59a1 Prove monotonicity of eval 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-10 20:29:05 -07:00
Danila Fedorin 96f3ceaeb2 Use the previous join function directly in GeneralizedUpdate 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-10 19:41:02 -07:00
Danila Fedorin 237250cf72 Stop using modules in 'Sign' analysis 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-10 19:23:48 -07:00
Danila Fedorin 8515491327 Simplify AboveBelow a bit to avoid nested modules 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-10 18:43:10 -07:00
Danila Fedorin f21ebdcf46 Start working on the evaluation operation. 
Proving monotonicity is the main hurdle here.

Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-10 18:13:01 -07:00
Danila Fedorin 51accb6438 Define 'minus', too -- with no monotonicity proof. 
I'm still thinking about how this should be achieved most easily.

Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-10 16:40:49 -07:00
Danila Fedorin afe5bac2dc Commit result of (unsuccessfully) trying to prove monotonicity of plus. 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-10 13:54:19 -07:00
Danila Fedorin f84a1c923c Prove that the 'join' transformation is monotonic 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-09 23:06:47 -08:00
Danila Fedorin 1b1b80465c Use named modules to avoid having to pass redundant parameters 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-09 21:46:15 -08:00
Danila Fedorin 0c30f8be48 Start on sign analysis (mostly just imports) 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-09 14:00:10 -08:00