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ce3fa182fe
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Start formalizing monotonic function predicates
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-04-12 23:49:33 -07:00 |
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71cb97ad8c
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Reorder some definitions
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-04-12 23:27:17 -07:00 |
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57606636a7
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Slightly format some code
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-04-12 23:22:31 -07:00 |
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da2f7f51d7
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Get Language typechecking again, finally
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-04-12 23:21:05 -07:00 |
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2db11dcfc7
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Use concatenation to represent adding new nodes
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-04-12 22:04:43 -07:00 |
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3e2719d45f
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Turn old proof into a hole to clean up later.
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-04-08 22:45:04 -07:00 |
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78252b6c9e
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Add proof of node preservation for adding edges.
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-04-08 22:43:07 -07:00 |
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85fdf544b9
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Translate informal proof of (node) transitivity into formal one.
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-04-08 20:57:08 -07:00 |
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4f14a7b765
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Successfully prove that monotonic updates preserve existing indices
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-04-08 00:24:52 -07:00 |
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bc5b4b7d9e
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Explicitly write metas for missing functions
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-04-08 00:16:10 -07:00 |
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520b2b514c
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Clear up vector reindexing
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-04-08 00:12:50 -07:00 |
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f7ac22257e
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Beat head against the vector-cast wall.
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-04-07 23:44:35 -07:00 |
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b72ad070ba
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Try using index-based comparisons
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-04-07 23:18:46 -07:00 |
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195537fe15
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Implement graph construction using <*>, map, and update.
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-04-07 20:26:38 -07:00 |
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d4b0796715
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Intermediate commit. Switch to *-based definition of <=.
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-04-07 19:51:59 -07:00 |
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b505063771
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Start working on proofs of Graph-related things
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-04-04 20:34:28 -07:00 |
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844c99336a
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Intermediate commit: add while loops and start trying to formalize them.
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2024-04-03 22:31:23 -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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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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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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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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