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77b8b6fad9
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Finally prove the provenance properties of merge.
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2023-07-26 20:58:41 -07:00 |
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461732244a
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Finish all in/not-in proofs.
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2023-07-26 20:40:28 -07:00 |
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12217e6928
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Reformat the code to roughly fit into 80 columns.
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2023-07-26 17:31:09 -07:00 |
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489b0532df
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Add intermediate state for insertion proofs
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2023-07-25 22:58:42 -07:00 |
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6b51cd4050
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Reorganize a bit and start on provenance
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2023-07-25 19:56:47 -07:00 |
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88a712fa98
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Implement the more powerful Map-functional theorem
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2023-07-25 18:22:24 -07:00 |
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c9ab1152c4
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Minor cleanup of Map module
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2023-07-25 00:10:57 -07:00 |
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850984ec15
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Do away with implicit arguments in some places where they can't be inferred
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2023-07-24 23:58:14 -07:00 |
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4aea9a0358
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Migrate Maps to including a uniqueness proof
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2023-07-24 23:55:09 -07:00 |
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c2bc1c5421
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Move the implementation details into a private module
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2023-07-24 23:12:04 -07:00 |
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232bd65809
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Add uniqueness preservation proof for merge
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2023-07-24 23:02:43 -07:00 |
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87a476ab9e
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Add proofs of uniqueness preservation for map insert
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2023-07-24 22:51:40 -07:00 |
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c50195942d
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Start moving away from purely list-based maps.
The eventual goal is to make a map be a list and a proof
that all the keys are unique.
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2023-07-24 20:38:34 -07:00 |
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f2e72b54ce
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Define unique as a data type to match stdlib All and Any
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2023-07-23 21:34:24 -07:00 |
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d9c18fe483
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Prove that maps are functional assuming uniqueness
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2023-07-23 17:50:25 -07:00 |
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ab7ed2039a
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Add a generic Map module and prove its induced equivalence relation
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2023-07-23 00:51:34 -07:00 |
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8febffc8e3
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Add an equivalence constraint on lattice relations.
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2023-07-15 15:16:51 -07:00 |
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971d75bb2b
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Parameterize by equivalence type
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2023-07-15 14:40:11 -07:00 |
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46ff4465f2
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Git rid of the bundles (for now) use IsWhatever
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2023-07-15 13:12:21 -07:00 |
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7b993827bf
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Delete the unneeded <= relation from instances
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2023-07-15 12:18:50 -07:00 |
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09d2125aea
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Add note to self
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2023-07-14 22:45:17 -07:00 |
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cdca2528e9
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Add a lattice instance for products
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2023-07-14 21:49:47 -07:00 |
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3b29ee0f74
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Add a Semilattice isntance for Products.
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2023-07-14 21:20:16 -07:00 |
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1ee6682c1a
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Factor the Semilattice instances for Nat into their own module
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2023-07-14 19:59:07 -07:00 |
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c9b514e9af
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Add a preorder instance for product
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2023-07-14 19:42:29 -07:00 |
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2b3d429631
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Get started on a semilattice instances for products
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2023-07-14 18:42:29 -07:00 |
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bac68b95f1
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Add a Lattice instance for natural numbers.
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2023-07-14 18:18:17 -07:00 |
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c6dddb177e
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Get started on a lattice instance for naturals.
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2023-07-13 23:22:29 -07:00 |
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422ea93edb
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Finish up the Nat semilattices
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2023-07-13 21:55:51 -07:00 |
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97a3f25fd2
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[WIP] Start lattice and semilattice proofs for Nat
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2023-04-06 23:08:49 -07:00 |
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8b805be9d3
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Add a map from natural numbers for use as a lattice transformer
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2023-04-04 21:08:41 -07:00 |
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27eeead350
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Add typeclasses for (semi)lattices and order
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2023-04-04 21:08:31 -07:00 |
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