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7d2928ed81
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Prove that the sign analysis is correct
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-05-10 22:31:47 -07:00 |
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5f946de5e8
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Remove last remaining assumption for correctness
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-05-10 21:30:56 -07:00 |
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3d2a507f2f
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Almost prove correctness
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-05-09 22:49:53 -07:00 |
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16fa4cd1d8
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Use records rather than nested pairs to represent 'fixed height'
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-05-09 20:11:04 -07:00 |
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f4392b32c0
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Finish the last proof obligation for trace walking
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-05-09 19:01:36 -07:00 |
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794c04eee9
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Prove the foldr-implies lemma
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-05-09 18:37:50 -07:00 |
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80069e76e6
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Prove the recursive step of trace walking
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-05-09 17:56:47 -07:00 |
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20dc99ba1f
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Re-indent some code to take up less horizontal space
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-05-09 16:57:03 -07:00 |
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f0b0d51b48
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Add unproven lemma about fold implication
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-05-08 23:38:23 -07:00 |
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8ff88f9f9e
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Move helper code into separate function
I'll need to reuse it.
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-05-08 23:35:02 -07:00 |
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838aaf9c58
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Start end-to-end proof of correctness
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-05-08 23:30:03 -07:00 |
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4ac9dffa9b
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Prove that the var->lattice maps respect equality
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-05-08 22:53:21 -07:00 |
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3f5551d70c
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Add a lemma about the effect of joinAll
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-05-08 22:34:02 -07:00 |
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5837fdf19b
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Prove that 'updateAll' has preservation
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-05-08 22:29:36 -07:00 |
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4350919871
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Add proof about setVariablesForState
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-05-08 22:09:56 -07:00 |
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7fe46b014c
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Slightly simplify evaluation code
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-05-08 22:05:50 -07:00 |
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66d229c493
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Prove that multi-statement evaluation "preserves" the validity of the analysis
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-05-08 21:51:53 -07:00 |
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1b8bea8957
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Use foldl in multi-statement evaluation
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-05-08 21:50:38 -07:00 |
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ad4592d4d2
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Switch to using implicit arguments where needed
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-05-08 21:34:17 -07:00 |
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8d0d87d2d9
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Start on proofs of correctness
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-05-08 20:50:21 -07:00 |
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3859826293
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Define interpretation of the sign lattice
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-04-30 21:58:41 -07:00 |
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de956cdc6a
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Split the Language file into modules
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-04-13 18:39:38 -07:00 |
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44f04e4020
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Get forward analysis working again
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-04-13 14:08:40 -07:00 |
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5d56a7ce2d
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Fix comments in Forward.agda
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-23 12:09:14 -07:00 |
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2e096bd64e
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Extract common parts of forward analyses into Forward.agda
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-22 17:50:29 -07:00 |
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1a7b2a1736
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Adjust behavior of eval to not require constant 'k in vars' threading
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-22 17:15:40 -07:00 |
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f0da9a9020
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Move more code out of Sign and into Main
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-11 13:07:42 -07:00 |
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040c13caba
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Use instances to simplify printing code
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-11 12:50:05 -07:00 |
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3e88a64ed9
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Add some debugging code to sign analysis to print the results
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-10 22:23:45 -07:00 |
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8a85c4497c
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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>
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2024-03-10 21:25:46 -07:00 |
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8964ba59a1
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Prove monotonicity of eval
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-10 20:29:05 -07:00 |
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96f3ceaeb2
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Use the previous join function directly in GeneralizedUpdate
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-10 19:41:02 -07:00 |
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237250cf72
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Stop using modules in 'Sign' analysis
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-10 19:23:48 -07:00 |
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8515491327
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Simplify AboveBelow a bit to avoid nested modules
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-10 18:43:10 -07:00 |
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f21ebdcf46
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Start working on the evaluation operation.
Proving monotonicity is the main hurdle here.
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-10 18:13:01 -07:00 |
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51accb6438
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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>
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2024-03-10 16:40:49 -07:00 |
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afe5bac2dc
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Commit result of (unsuccessfully) trying to prove monotonicity of plus.
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-10 13:54:19 -07:00 |
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f84a1c923c
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Prove that the 'join' transformation is monotonic
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-09 23:06:47 -08:00 |
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1b1b80465c
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Use named modules to avoid having to pass redundant parameters
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-09 21:46:15 -08:00 |
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0c30f8be48
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Start on sign analysis (mostly just imports)
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-09 14:00:10 -08:00 |
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