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f3e0d5f2e3
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Use 'data' instead of aliases to prove reasoning properties
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-04-20 19:31:13 -07:00 |
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855bf3f56c
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Add functions to reason about the 'monotonic state' operations
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-04-20 18:09:01 -07:00 |
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2f91ca113e
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Make 'MonotonicPredicate' into another typeclass
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-04-13 20:56:56 -07:00 |
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7571cb7451
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Extract 'monotonic state' into its own module
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-04-13 20:46:30 -07:00 |
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fc27b045d3
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Remove nested module from Graphs
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-04-13 19:33:58 -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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7ed7f20227
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Add missing edge
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-04-13 15:30:07 -07:00 |
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163108b9b3
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Add precedence to some language constructs
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-04-13 15:29:50 -07:00 |
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8dc5c40eae
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Get everything compiling
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-04-13 14:13:44 -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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4fe0d147fa
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Adjust 'Program' to have a graph and basic blocks
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-04-13 13:39:15 -07:00 |
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ba1c9b3ec8
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Remove sketch if proof since the proof is done
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-04-13 12:31:04 -07:00 |
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b6e357787f
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Add proof about 'both' and pairing
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-04-13 12:25:59 -07:00 |
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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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