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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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3305de4710
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Remove need for explicit arguments in map derivatives
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-10 18:35:29 -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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0705df708e
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Prove that variables in a program all come from the program's code
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-10 16:41:21 -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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fdc40632bf
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Add a way to retrieve the code for a particular state
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-09 23:09:50 -08:00 |
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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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56c72e1388
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Delete unused homomorphism proof that was broken by an Agda update.
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-09 14:07:56 -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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75f981cb75
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Define simple sequential-only programs
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-09 13:59:48 -08:00 |
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ca99e18184
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Tweak exports from finite value bundle to avoid (some) redundant arguments
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-09 13:59:22 -08:00 |
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702cf2c298
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Expose more functionaity from the set lattice
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-09 13:58:40 -08:00 |
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0c088ca2ae
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Prove multi-key access monotonicity in finite maps
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-09 13:58:07 -08:00 |
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bc138d87f0
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Prove things about key-based access in map
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-09 13:57:29 -08:00 |
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311ed75186
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Expose more helpers from 'Map'
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-09 13:57:02 -08:00 |
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1ccc6f08e5
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Add more properties of uniqueness
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-09 13:54:01 -08:00 |
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332b7616cf
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Prove that foldr is monotonic when input lists are pairwise monotonic
This should help prove that "join" is monotonic
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-07 21:53:45 -08:00 |
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7905d106e2
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Tweak signature of 'forget' to simplify proofs
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-07 20:04:33 -08:00 |
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34203840c8
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Use the new provenance function to clean up some proofs
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-07 19:59:14 -08:00 |
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48983c55b1
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Prove exercise 4.26 from the textbook
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-06 00:35:29 -08:00 |
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fa0282ff6f
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Prove that the identity function is monotonic
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-06 00:35:06 -08:00 |
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164fc3636f
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Prove that constant functions are monotonic
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-03 17:23:57 -08:00 |
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c932210d37
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Re-expert monotonicity from Lattice
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-03 17:04:18 -08:00 |
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a8d26b1c48
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Prove that join is monotonic in both arguments
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-03 16:51:57 -08:00 |
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2ddac38c3f
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Update with new changes to Agda
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-03 16:44:10 -08:00 |
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f00dabfc93
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More cleanup to FiniteValueMap
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-02 16:23:33 -08:00 |
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01f4e02026
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More cleanup to FiniteValueMap
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-02 16:05:42 -08:00 |
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fbbcd72037
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Some early refactors of FiniteValueMap
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-02 15:18:10 -08:00 |
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03cdc65a7b
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Format AboveBelow a bit better (round two)
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-02 14:56:04 -08:00 |
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ec2b1ec3ba
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Format FiniteMap a little bit better
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-02 14:54:44 -08:00 |
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112dcb2208
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Clean up AboveBelow slightly
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-02 14:34:15 -08:00 |
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8516f58b1d
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Remove helper comment.
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-02 14:13:02 -08:00 |
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6cb6281bc2
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Make main run the fixed point algorithm
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-01 23:42:10 -08:00 |
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0774946211
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Expose decidability from Map modules
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-01 23:27:49 -08:00 |
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65d1590358
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Prove monotonicity of lub in one argument
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-01 23:26:25 -08:00 |
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ae3e2c28b0
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Create bundles and add a program to evaluate some code with finite maps
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-01 21:58:58 -08:00 |
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97a4165b58
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Expose bundles from FiniteValueMap
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-01 21:35:40 -08:00 |
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754714d770
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Restore bundles in IterProd
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-01 21:12:22 -08:00 |
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ae09a27f64
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Prove that finite value-maps are finite height
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-01 21:03:23 -08:00 |
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ca90f6509c
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Re-write the IterProd proofs to couple lattice and finite height lattice
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-01 21:02:56 -08:00 |
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29898e738b
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Clean up a bit
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-01 19:08:29 -08:00 |
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3a537f54ba
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Add a helpful utility function
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-01 19:08:11 -08:00 |
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52e7a7a208
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Prove distributivity in the other direction, too
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-01 19:07:59 -08:00 |
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8715d6d89c
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Finish proof of from distributivity
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-02-26 00:00:18 -08:00 |
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