Commit Graph

32 Commits

Author SHA1 Message Date
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
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
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
fdc40632bf Add a way to retrieve the code for a particular state
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-03-09 23:09:50 -08:00
f84a1c923c Prove that the 'join' transformation is monotonic
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-03-09 23:06:47 -08:00
75f981cb75 Define simple sequential-only programs
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-03-09 13:59:48 -08:00
a55c786a51 Tentatively start working on a language to analyze 2024-02-07 22:51:08 -08:00