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52e7a7a208
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Prove distributivity in the other direction, too
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-01 19:07:59 -08:00 |
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8715d6d89c
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Finish proof of from distributivity
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-02-26 00:00:18 -08:00 |
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b083561629
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Add most of the proof of from distributivity.
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-02-25 20:28:07 -08:00 |
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3ad7db738a
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Prove that 'to' preserves equality
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-02-25 18:43:54 -08:00 |
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53a08b8f79
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Prove that 'first' presrves equality
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-02-25 18:08:03 -08:00 |
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d6064ff752
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Expose 'locate' and 'forget' from Map
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-02-25 18:07:50 -08:00 |
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d280f5afdf
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Make auxillary definitions private
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-02-25 14:06:45 -08:00 |
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b96bac5518
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Prove the other direction for inverses.
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-02-25 13:57:45 -08:00 |
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99fc21cef2
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Expose 'subset-impl' from Map
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-02-25 13:57:28 -08:00 |
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2a06e6ae2d
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Adjust 'to' to make it easier to reason about
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-02-25 12:17:19 -08:00 |
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671ffc82df
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Define to-and-from functions from finite maps to tuples and prove one inverse direction
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-02-19 14:50:29 -08:00 |
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486b552b59
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Try to generalize universe levels where possible
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-02-19 12:36:46 -08:00 |
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aafcb2683d
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Prove the transport of 'height lattice' property given an isomorphism
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-02-18 23:26:41 -08:00 |
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8c9f39ac35
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Add some additional 'equivalence' definitions to Equivalence
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-02-18 21:46:42 -08:00 |
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6384f7006e
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Make 'lattice' public
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-02-18 20:18:38 -08:00 |
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b1c6b4c99a
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Expose bundles from Unit
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-02-11 21:20:05 -08:00 |
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5420bb808e
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Expose bundles from 'Prod'
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-02-11 21:16:41 -08:00 |
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4c0860f4c7
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Expose bundle form MapSet
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-02-11 21:14:49 -08:00 |
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e89418d600
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Expose bundle form 'Map'
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-02-11 21:12:49 -08:00 |
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bfb32092c2
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Expose bundles and apply so renames to IterProd
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-02-11 21:10:51 -08:00 |
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6e26aa1580
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Add a bundle to FiniteMap
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-02-11 21:02:43 -08:00 |
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27f40bd42e
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Add bundles to 'AboveBelow'
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-02-11 21:00:28 -08:00 |
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08f3f49640
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Rename some definitions in Nat and expose bundle
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-02-11 20:56:21 -08:00 |
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a920608bef
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Tweak IterProd to expose more (including a bundle)
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-02-11 20:45:14 -08:00 |
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45f2babfa3
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Fix typo in FixedHeightLattice definition
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-02-11 15:37:00 -08:00 |
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16c4d13242
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Prove that iterated products are finite height
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-02-11 15:36:12 -08:00 |
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0ba4b46e16
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Add proof of decidable equivalence for products
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-02-11 15:35:50 -08:00 |
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7e5cc1b316
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Add an 'iterated product' lattice for A x A ... x A x B.
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-02-11 14:19:41 -08:00 |
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33b7bc37f0
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Add a 'FiniteHeightLattice' bundle
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-02-11 14:19:41 -08:00 |
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6fe8dc2a02
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Add an 'iterate' function to Utils
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-02-11 14:19:41 -08:00 |
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ec31333e9a
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Add a 'Finite Map' lattice
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-02-11 14:19:41 -08:00 |
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ad26d20274
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Add facts about equal-key maps
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-02-11 12:45:43 -08:00 |
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2b27e397b6
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Add another utility proof
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-02-11 12:45:33 -08:00 |
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d718338759
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Clean up 'Map' to hide implementation details, extract code
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-02-10 16:51:43 -08:00 |
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1b8c88b1a2
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Expose only a 'public' "keys" function from Map
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-02-10 16:35:21 -08:00 |
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a55c786a51
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Tentatively start working on a language to analyze
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2024-02-07 22:51:08 -08:00 |
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512cd22be5
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Fix definition of 'less than' to not involve a third variable.
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-02-07 21:04:13 -08:00 |
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9646096c75
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Fix uses of 'absurd' in Fixedpoint.agda
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2023-11-23 14:15:40 -08:00 |
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bf74b35c14
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Add proof of Lattice preservation
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2023-09-29 21:19:48 -07:00 |
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7b24bae29a
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Start on the homomorphism / isomorphism proofs
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2023-09-29 20:45:13 -07:00 |
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3c346dcd15
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Add a 'set' lattice backed by maps
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2023-09-23 17:12:12 -07:00 |
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4a90a57388
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Clean up imports a bit
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2023-09-23 16:39:11 -07:00 |
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6cd37a212f
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Move the product instances into its own file
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2023-09-23 16:34:30 -07:00 |
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8eaec3facd
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Provide a 'fixed height' predicate from Lattice for convenience
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2023-09-23 16:20:58 -07:00 |
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dce21b3696
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Moved the Nat lattice instance into an actual file
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2023-09-23 15:34:59 -07:00 |
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5d54e62c3a
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Move the lattice etc. instances into Lattice.Map
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2023-09-23 15:08:04 -07:00 |
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845a8a2236
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Move the Map into Lattice/Map
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2023-09-23 15:06:43 -07:00 |
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f27dec8904
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Add proof of fixed-height chain
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2023-09-23 12:33:48 -07:00 |
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fa7e2b5bb6
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Add a proof that AboveBelow is a fixed-height lattice (phew!)
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2023-09-18 22:34:58 -07:00 |
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c0db2ccd46
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Add a lattice instance for the AboveBelow type
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2023-09-18 20:56:08 -07:00 |
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