Commit Graph

70 Commits

Author SHA1 Message Date
8964ba59a1 Prove monotonicity of eval
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-03-10 20:29:05 -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
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
1b1b80465c Use named modules to avoid having to pass redundant parameters
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-03-09 21:46:15 -08:00
ca99e18184 Tweak exports from finite value bundle to avoid (some) redundant arguments
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-03-09 13:59:22 -08:00
702cf2c298 Expose more functionaity from the set lattice
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-03-09 13:58:40 -08:00
0c088ca2ae Prove multi-key access monotonicity in finite maps
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-03-09 13:58:07 -08:00
bc138d87f0 Prove things about key-based access in map
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-03-09 13:57:29 -08:00
311ed75186 Expose more helpers from 'Map'
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-03-09 13:57:02 -08:00
7905d106e2 Tweak signature of 'forget' to simplify proofs
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-03-07 20:04:33 -08:00
34203840c8 Use the new provenance function to clean up some proofs
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-03-07 19:59:14 -08:00
48983c55b1 Prove exercise 4.26 from the textbook
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-03-06 00:35:29 -08:00
2ddac38c3f Update with new changes to Agda
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-03-03 16:44:10 -08:00
f00dabfc93 More cleanup to FiniteValueMap
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-03-02 16:23:33 -08:00
01f4e02026 More cleanup to FiniteValueMap
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-03-02 16:05:42 -08:00
fbbcd72037 Some early refactors of FiniteValueMap
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-03-02 15:18:10 -08:00
03cdc65a7b Format AboveBelow a bit better (round two)
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-03-02 14:56:04 -08:00
ec2b1ec3ba Format FiniteMap a little bit better
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-03-02 14:54:44 -08:00
112dcb2208 Clean up AboveBelow slightly
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-03-02 14:34:15 -08:00
0774946211 Expose decidability from Map modules
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-03-01 23:27:49 -08:00
ae3e2c28b0 Create bundles and add a program to evaluate some code with finite maps
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-03-01 21:58:58 -08:00
97a4165b58 Expose bundles from FiniteValueMap
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-03-01 21:35:40 -08:00
754714d770 Restore bundles in IterProd
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-03-01 21:12:22 -08:00
ae09a27f64 Prove that finite value-maps are finite height
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-03-01 21:03:23 -08:00
ca90f6509c Re-write the IterProd proofs to couple lattice and finite height lattice
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-03-01 21:02:56 -08:00
29898e738b Clean up a bit
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-03-01 19:08:29 -08:00
52e7a7a208 Prove distributivity in the other direction, too
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-03-01 19:07:59 -08:00
8715d6d89c Finish proof of from distributivity
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-02-26 00:00:18 -08:00
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
3ad7db738a Prove that 'to' preserves equality
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-02-25 18:43:54 -08:00
53a08b8f79 Prove that 'first' presrves equality
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-02-25 18:08:03 -08:00
d6064ff752 Expose 'locate' and 'forget' from Map
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-02-25 18:07:50 -08:00
b96bac5518 Prove the other direction for inverses.
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-02-25 13:57:45 -08:00
99fc21cef2 Expose 'subset-impl' from Map
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-02-25 13:57:28 -08:00
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
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
486b552b59 Try to generalize universe levels where possible
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-02-19 12:36:46 -08:00
6384f7006e Make 'lattice' public
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-02-18 20:18:38 -08:00
b1c6b4c99a Expose bundles from Unit
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-02-11 21:20:05 -08:00
5420bb808e Expose bundles from 'Prod'
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-02-11 21:16:41 -08:00
4c0860f4c7 Expose bundle form MapSet
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-02-11 21:14:49 -08:00
e89418d600 Expose bundle form 'Map'
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-02-11 21:12:49 -08:00
bfb32092c2 Expose bundles and apply so renames to IterProd
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-02-11 21:10:51 -08:00
6e26aa1580 Add a bundle to FiniteMap
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-02-11 21:02:43 -08:00
27f40bd42e Add bundles to 'AboveBelow'
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-02-11 21:00:28 -08:00
08f3f49640 Rename some definitions in Nat and expose bundle
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-02-11 20:56:21 -08:00