Commit Graph

269 Commits

Author SHA1 Message Date
b134c143ca Start working on proving 'sufficiency'
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-04-20 21:37:28 -07:00
e218d1b7a3 Add formalization of 'traces through graph'
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-04-20 21:36:58 -07:00
6e3f06ca5d Add a new 'properties' module
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-04-20 20:25:40 -07:00
54b11d21b0 Start working on proving facts about graph construction
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-04-20 19:31:47 -07:00
f3e0d5f2e3 Use 'data' instead of aliases to prove reasoning properties
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-04-20 19:31:13 -07:00
855bf3f56c Add functions to reason about the 'monotonic state' operations
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-04-20 18:09:01 -07:00
2f91ca113e Make 'MonotonicPredicate' into another typeclass
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-04-13 20:56:56 -07:00
7571cb7451 Extract 'monotonic state' into its own module
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-04-13 20:46:30 -07:00
fc27b045d3 Remove nested module from Graphs
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-04-13 19:33:58 -07:00
de956cdc6a Split the Language file into modules
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-04-13 18:39:38 -07:00
7ed7f20227 Add missing edge
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-04-13 15:30:07 -07:00
163108b9b3 Add precedence to some language constructs
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-04-13 15:29:50 -07:00
8dc5c40eae Get everything compiling
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-04-13 14:13:44 -07:00
44f04e4020 Get forward analysis working again
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-04-13 14:08:40 -07:00
4fe0d147fa Adjust 'Program' to have a graph and basic blocks
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-04-13 13:39:15 -07:00
ba1c9b3ec8 Remove sketch if proof since the proof is done
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-04-13 12:31:04 -07:00
b6e357787f Add proof about 'both' and pairing
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-04-13 12:25:59 -07:00
ce3fa182fe Start formalizing monotonic function predicates
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-04-12 23:49:33 -07:00
71cb97ad8c Reorder some definitions
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-04-12 23:27:17 -07:00
57606636a7 Slightly format some code
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-04-12 23:22:31 -07:00
da2f7f51d7 Get Language typechecking again, finally
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-04-12 23:21:05 -07:00
2db11dcfc7 Use concatenation to represent adding new nodes
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-04-12 22:04:43 -07:00
3e2719d45f Turn old proof into a hole to clean up later.
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-04-08 22:45:04 -07:00
78252b6c9e Add proof of node preservation for adding edges.
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-04-08 22:43:07 -07:00
85fdf544b9 Translate informal proof of (node) transitivity into formal one.
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-04-08 20:57:08 -07:00
4f14a7b765 Successfully prove that monotonic updates preserve existing indices
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-04-08 00:24:52 -07:00
bc5b4b7d9e Explicitly write metas for missing functions
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-04-08 00:16:10 -07:00
520b2b514c Clear up vector reindexing
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-04-08 00:12:50 -07:00
f7ac22257e Beat head against the vector-cast wall.
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-04-07 23:44:35 -07:00
b72ad070ba Try using index-based comparisons
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-04-07 23:18:46 -07:00
195537fe15 Implement graph construction using <*>, map, and update.
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-04-07 20:26:38 -07:00
d4b0796715 Intermediate commit. Switch to *-based definition of <=.
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-04-07 19:51:59 -07:00
b505063771 Start working on proofs of Graph-related things
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-04-04 20:34:28 -07:00
844c99336a Intermediate commit: add while loops and start trying to formalize them. 2024-04-03 22:31:23 -07:00
5d56a7ce2d Fix comments in Forward.agda
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-03-23 12:09:14 -07:00
2e096bd64e Extract common parts of forward analyses into Forward.agda
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-03-22 17:50:29 -07:00
1a7b2a1736 Adjust behavior of eval to not require constant 'k in vars' threading
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-03-22 17:15:40 -07:00
f0da9a9020 Move more code out of Sign and into Main
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-03-11 13:07:42 -07:00
040c13caba Use instances to simplify printing code
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-03-11 12:50:05 -07:00
56da61b339 Delete the bundles since they did not turn out all that useful
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-03-11 12:14:53 -07:00
3e88a64ed9 Add some debugging code to sign analysis to print the results
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-03-10 22:23:45 -07:00
8a85c4497c 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>
2024-03-10 21:25:46 -07:00
8964ba59a1 Prove monotonicity of eval
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-03-10 20:29:05 -07:00
96f3ceaeb2 Use the previous join function directly in GeneralizedUpdate
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-03-10 19:41:02 -07:00
237250cf72 Stop using modules in 'Sign' analysis
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-03-10 19:23:48 -07:00
8515491327 Simplify AboveBelow a bit to avoid nested modules
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-03-10 18:43:10 -07:00
3305de4710 Remove need for explicit arguments in map derivatives
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-03-10 18:35:29 -07:00
f21ebdcf46 Start working on the evaluation operation.
Proving monotonicity is the main hurdle here.

Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-03-10 18:13:01 -07:00
0705df708e Prove that variables in a program all come from the program's code
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-03-10 16:41:21 -07:00
51accb6438 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>
2024-03-10 16:40:49 -07:00