DanilaFe/agda-spa
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ca375976b7
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52 Commits

Author SHA1 Message Date
Danila Fedorin
ca375976b7 Re-export members of isLattice together with the record where needed 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2025-01-04 22:43:13 -08:00
Danila Fedorin
c0238fea25 Clean up how proofs of fixed height are imported 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2025-01-04 22:34:49 -08:00
Danila Fedorin
1432dfa669 Clean up FiniteMap module structure a bit 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2025-01-04 22:28:47 -08:00
Danila Fedorin
ffe9d193d9 Parameterize FiniteMap by its keys right away 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2025-01-04 22:19:02 -08:00
Danila Fedorin
70847d51db Swich AboveBelow to using instances 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2025-01-04 21:23:07 -08:00
Danila Fedorin
d96eb97b69 Switch maps (and consequently most of the code) to using instances 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2025-01-04 21:16:22 -08:00
Danila Fedorin
b0488c9cc6 Make 'IsDecidable' into a record to aid instance search 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2025-01-04 18:58:56 -08:00
Danila Fedorin
4da9b6d3cd Fuse 'FiniteMap' and 'FiniteValueMap' 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-12-31 19:21:23 -08:00
Danila Fedorin
c2c04e3ecd Rewrite Forward analysis to use statement-based evaluators. 
To keep old (expression-based) analyses working, switch to using
instance search and provide "adapters" that auto-construct statement
analyzers from expression analyzers.

Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-12-31 17:31:01 -08:00
Danila Fedorin
f01df5af4b Slightly tweak module style in Forward.agda 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-12-31 12:55:29 -08:00
Danila Fedorin
b28994e1d2 Tighten exported definitions in Forward.agda 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-12-31 00:29:39 -08:00
Danila Fedorin
10332351ea Use instance search to avoid multiply-nested modules 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-12-31 00:21:10 -08:00
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