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0c088ca2ae
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Prove multi-key access monotonicity in finite maps
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-09 13:58:07 -08:00 |
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bc138d87f0
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Prove things about key-based access in map
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-09 13:57:29 -08:00 |
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311ed75186
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Expose more helpers from 'Map'
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-09 13:57:02 -08:00 |
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7905d106e2
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Tweak signature of 'forget' to simplify proofs
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-07 20:04:33 -08:00 |
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34203840c8
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Use the new provenance function to clean up some proofs
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-07 19:59:14 -08:00 |
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48983c55b1
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Prove exercise 4.26 from the textbook
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-06 00:35:29 -08:00 |
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2ddac38c3f
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Update with new changes to Agda
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-03 16:44:10 -08:00 |
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f00dabfc93
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More cleanup to FiniteValueMap
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-02 16:23:33 -08:00 |
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01f4e02026
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More cleanup to FiniteValueMap
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-02 16:05:42 -08:00 |
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fbbcd72037
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Some early refactors of FiniteValueMap
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-02 15:18:10 -08:00 |
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03cdc65a7b
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Format AboveBelow a bit better (round two)
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-02 14:56:04 -08:00 |
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ec2b1ec3ba
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Format FiniteMap a little bit better
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-02 14:54:44 -08:00 |
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112dcb2208
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Clean up AboveBelow slightly
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-02 14:34:15 -08:00 |
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0774946211
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Expose decidability from Map modules
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-01 23:27:49 -08:00 |
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ae3e2c28b0
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Create bundles and add a program to evaluate some code with finite maps
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-01 21:58:58 -08:00 |
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97a4165b58
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Expose bundles from FiniteValueMap
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-01 21:35:40 -08:00 |
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754714d770
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Restore bundles in IterProd
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-01 21:12:22 -08:00 |
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ae09a27f64
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Prove that finite value-maps are finite height
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-01 21:03:23 -08:00 |
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ca90f6509c
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Re-write the IterProd proofs to couple lattice and finite height lattice
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-01 21:02:56 -08:00 |
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29898e738b
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Clean up a bit
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2024-03-01 19:08:29 -08:00 |
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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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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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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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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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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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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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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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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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