|
|
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 |
|
|
|
d280f5afdf
|
Make auxillary definitions private
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
|
2024-02-25 14:06:45 -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 |
|
|
|
aafcb2683d
|
Prove the transport of 'height lattice' property given an isomorphism
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
|
2024-02-18 23:26:41 -08:00 |
|
|
|
8c9f39ac35
|
Add some additional 'equivalence' definitions to Equivalence
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
|
2024-02-18 21:46:42 -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 |
|
|
|
a920608bef
|
Tweak IterProd to expose more (including a bundle)
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
|
2024-02-11 20:45:14 -08:00 |
|
|
|
45f2babfa3
|
Fix typo in FixedHeightLattice definition
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
|
2024-02-11 15:37:00 -08:00 |
|
|
|
16c4d13242
|
Prove that iterated products are finite height
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
|
2024-02-11 15:36:12 -08:00 |
|
|
|
0ba4b46e16
|
Add proof of decidable equivalence for products
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
|
2024-02-11 15:35:50 -08:00 |
|
|
|
7e5cc1b316
|
Add an 'iterated product' lattice for A x A ... x A x B.
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
|
2024-02-11 14:19:41 -08:00 |
|
|
|
33b7bc37f0
|
Add a 'FiniteHeightLattice' bundle
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
|
2024-02-11 14:19:41 -08:00 |
|
|
|
6fe8dc2a02
|
Add an 'iterate' function to Utils
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
|
2024-02-11 14:19:41 -08:00 |
|
|
|
ec31333e9a
|
Add a 'Finite Map' lattice
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
|
2024-02-11 14:19:41 -08:00 |
|
|
|
ad26d20274
|
Add facts about equal-key maps
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
|
2024-02-11 12:45:43 -08:00 |
|
|
|
2b27e397b6
|
Add another utility proof
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
|
2024-02-11 12:45:33 -08:00 |
|
|
|
d718338759
|
Clean up 'Map' to hide implementation details, extract code
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
|
2024-02-10 16:51:43 -08:00 |
|
|
|
1b8c88b1a2
|
Expose only a 'public' "keys" function from Map
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
|
2024-02-10 16:35:21 -08:00 |
|
|
|
a55c786a51
|
Tentatively start working on a language to analyze
|
2024-02-07 22:51:08 -08:00 |
|
|
|
512cd22be5
|
Fix definition of 'less than' to not involve a third variable.
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
|
2024-02-07 21:04:13 -08:00 |
|
|
|
9646096c75
|
Fix uses of 'absurd' in Fixedpoint.agda
|
2023-11-23 14:15:40 -08:00 |
|
|
|
bf74b35c14
|
Add proof of Lattice preservation
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
|
2023-09-29 21:19:48 -07:00 |
|
|
|
7b24bae29a
|
Start on the homomorphism / isomorphism proofs
|
2023-09-29 20:45:13 -07:00 |
|
|
|
3c346dcd15
|
Add a 'set' lattice backed by maps
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
|
2023-09-23 17:12:12 -07:00 |
|
|
|
4a90a57388
|
Clean up imports a bit
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
|
2023-09-23 16:39:11 -07:00 |
|
|
|
6cd37a212f
|
Move the product instances into its own file
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
|
2023-09-23 16:34:30 -07:00 |
|
|
|
8eaec3facd
|
Provide a 'fixed height' predicate from Lattice for convenience
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
|
2023-09-23 16:20:58 -07:00 |
|
|
|
dce21b3696
|
Moved the Nat lattice instance into an actual file
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
|
2023-09-23 15:34:59 -07:00 |
|
|
|
5d54e62c3a
|
Move the lattice etc. instances into Lattice.Map
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
|
2023-09-23 15:08:04 -07:00 |
|
|
|
845a8a2236
|
Move the Map into Lattice/Map
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
|
2023-09-23 15:06:43 -07:00 |
|
|
|
f27dec8904
|
Add proof of fixed-height chain
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
|
2023-09-23 12:33:48 -07:00 |
|
|
|
fa7e2b5bb6
|
Add a proof that AboveBelow is a fixed-height lattice (phew!)
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
|
2023-09-18 22:34:58 -07:00 |
|
|
|
c0db2ccd46
|
Add a lattice instance for the AboveBelow type
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
|
2023-09-18 20:56:08 -07:00 |
|
|
|
d338241319
|
Add a meet operation, too
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
|
2023-09-17 20:01:32 -07:00 |
|
|
|
03c0b12a3c
|
Start formalizing the bottom/top lattice
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
|
2023-09-17 19:50:21 -07:00 |
|
