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95669b2c65
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Prove that the iterated product is made from iterated bottom elements
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-05-09 19:45:15 -07:00 |
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6857f60465
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Rename the min/max elements top bottom and top in Prod
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-05-09 19:08:46 -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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a22c0c9252
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Prove a property of multi-key lookup
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-05-09 17:56:26 -07:00 |
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cfa3375de5
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Expose more functions from FiniteMap
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-05-08 20:50:05 -07:00 |
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6b116ed960
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Forward some map function to Finite{,Value}Map
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-05-08 20:34:15 -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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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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56da61b339
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Delete the bundles since they did not turn out all that useful
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-11 12:14:53 -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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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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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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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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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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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
|
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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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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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
|
Clean up a bit
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
|
2024-03-01 19:08:29 -08:00 |
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52e7a7a208
|
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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b083561629
|
Add most of the proof of from distributivity.
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
|
2024-02-25 20:28:07 -08:00 |
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3ad7db738a
|
Prove that 'to' preserves equality
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
|
2024-02-25 18:43:54 -08:00 |
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53a08b8f79
|
Prove that 'first' presrves equality
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
|
2024-02-25 18:08:03 -08:00 |
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d6064ff752
|
Expose 'locate' and 'forget' from Map
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
|
2024-02-25 18:07:50 -08:00 |
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b96bac5518
|
Prove the other direction for inverses.
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
|
2024-02-25 13:57:45 -08:00 |
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99fc21cef2
|
Expose 'subset-impl' from Map
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
|
2024-02-25 13:57:28 -08:00 |
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2a06e6ae2d
|
Adjust 'to' to make it easier to reason about
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
|
2024-02-25 12:17:19 -08:00 |
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671ffc82df
|
Define to-and-from functions from finite maps to tuples and prove one inverse direction
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
|
2024-02-19 14:50:29 -08:00 |
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