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278 Commits

Author SHA1 Message Date
Danila Fedorin 6b51cd4050 Reorganize a bit and start on provenance 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2023-07-25 19:56:47 -07:00
Danila Fedorin 88a712fa98 Implement the more powerful Map-functional theorem 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2023-07-25 18:22:24 -07:00
Danila Fedorin c9ab1152c4 Minor cleanup of Map module 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2023-07-25 00:10:57 -07:00
Danila Fedorin 850984ec15 Do away with implicit arguments in some places where they can't be inferred 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2023-07-24 23:58:14 -07:00
Danila Fedorin 4aea9a0358 Migrate Maps to including a uniqueness proof 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2023-07-24 23:55:09 -07:00
Danila Fedorin c2bc1c5421 Move the implementation details into a private module 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2023-07-24 23:12:04 -07:00
Danila Fedorin 232bd65809 Add uniqueness preservation proof for merge 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2023-07-24 23:02:43 -07:00
Danila Fedorin 87a476ab9e Add proofs of uniqueness preservation for map insert 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2023-07-24 22:51:40 -07:00
Danila Fedorin c50195942d 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>
 2023-07-24 20:38:34 -07:00
Danila Fedorin f2e72b54ce Define unique as a data type to match stdlib All and Any 2023-07-23 21:34:24 -07:00
Danila Fedorin d9c18fe483 Prove that maps are functional assuming uniqueness 2023-07-23 17:50:25 -07:00
Danila Fedorin ab7ed2039a Add a generic Map module and prove its induced equivalence relation 2023-07-23 00:51:34 -07:00
Danila Fedorin 8febffc8e3 Add an equivalence constraint on lattice relations. 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2023-07-15 15:16:51 -07:00
Danila Fedorin 971d75bb2b Parameterize by equivalence type 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2023-07-15 14:40:11 -07:00
Danila Fedorin 46ff4465f2 Git rid of the bundles (for now) use IsWhatever 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2023-07-15 13:12:21 -07:00
Danila Fedorin 7b993827bf Delete the unneeded <= relation from instances 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2023-07-15 12:18:50 -07:00
Danila Fedorin 09d2125aea Add note to self 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2023-07-14 22:45:17 -07:00
Danila Fedorin cdca2528e9 Add a lattice instance for products 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2023-07-14 21:49:47 -07:00
Danila Fedorin 3b29ee0f74 Add a Semilattice isntance for Products. 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2023-07-14 21:20:16 -07:00
Danila Fedorin 1ee6682c1a Factor the Semilattice instances for Nat into their own module 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2023-07-14 19:59:07 -07:00
Danila Fedorin c9b514e9af Add a preorder instance for product 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2023-07-14 19:42:29 -07:00
Danila Fedorin 2b3d429631 Get started on a semilattice instances for products 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2023-07-14 18:42:29 -07:00
Danila Fedorin bac68b95f1 Add a Lattice instance for natural numbers. 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2023-07-14 18:18:17 -07:00
Danila Fedorin c6dddb177e Get started on a lattice instance for naturals. 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2023-07-13 23:22:29 -07:00
Danila Fedorin 422ea93edb Finish up the Nat semilattices 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2023-07-13 21:55:51 -07:00
Danila Fedorin 97a3f25fd2 [WIP] Start lattice and semilattice proofs for Nat 2023-04-06 23:08:49 -07:00
Danila Fedorin 8b805be9d3 Add a map from natural numbers for use as a lattice transformer 2023-04-04 21:08:41 -07:00
Danila Fedorin 27eeead350 Add typeclasses for (semi)lattices and order 2023-04-04 21:08:31 -07:00