DanilaFe/agda-spa
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Author SHA1 Message Date
Danila Fedorin
0705df708e Prove that variables in a program all come from the program's code 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-10 16:41:21 -07:00
Danila Fedorin
51accb6438 Define 'minus', too -- with no monotonicity proof. 
I'm still thinking about how this should be achieved most easily.

Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-10 16:40:49 -07:00
Danila Fedorin
afe5bac2dc Commit result of (unsuccessfully) trying to prove monotonicity of plus. 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-10 13:54:19 -07:00
Danila Fedorin
fdc40632bf Add a way to retrieve the code for a particular state 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-09 23:09:50 -08:00
Danila Fedorin
f84a1c923c Prove that the 'join' transformation is monotonic 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-09 23:06:47 -08:00
Danila Fedorin
1b1b80465c Use named modules to avoid having to pass redundant parameters 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-09 21:46:15 -08:00
Danila Fedorin
56c72e1388 Delete unused homomorphism proof that was broken by an Agda update. 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-09 14:07:56 -08:00
Danila Fedorin
0c30f8be48 Start on sign analysis (mostly just imports) 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-09 14:00:10 -08:00
Danila Fedorin
75f981cb75 Define simple sequential-only programs 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-09 13:59:48 -08:00
Danila Fedorin
ca99e18184 Tweak exports from finite value bundle to avoid (some) redundant arguments 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-09 13:59:22 -08:00
Danila Fedorin
702cf2c298 Expose more functionaity from the set lattice 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-09 13:58:40 -08:00
Danila Fedorin
0c088ca2ae Prove multi-key access monotonicity in finite maps 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-09 13:58:07 -08:00
Danila Fedorin
bc138d87f0 Prove things about key-based access in map 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-09 13:57:29 -08:00
Danila Fedorin
311ed75186 Expose more helpers from 'Map' 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-09 13:57:02 -08:00
Danila Fedorin
1ccc6f08e5 Add more properties of uniqueness 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-09 13:54:01 -08:00
Danila Fedorin
332b7616cf Prove that foldr is monotonic when input lists are pairwise monotonic 
This should help prove that "join" is monotonic

Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-07 21:53:45 -08:00
Danila Fedorin
7905d106e2 Tweak signature of 'forget' to simplify proofs 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-07 20:04:33 -08:00
Danila Fedorin
34203840c8 Use the new provenance function to clean up some proofs 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-07 19:59:14 -08:00
Danila Fedorin
48983c55b1 Prove exercise 4.26 from the textbook 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-06 00:35:29 -08:00
Danila Fedorin
fa0282ff6f Prove that the identity function is monotonic 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-06 00:35:06 -08:00
Danila Fedorin
164fc3636f Prove that constant functions are monotonic 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-03 17:23:57 -08:00
Danila Fedorin
c932210d37 Re-expert monotonicity from Lattice 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-03 17:04:18 -08:00
Danila Fedorin
a8d26b1c48 Prove that join is monotonic in both arguments 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-03 16:51:57 -08:00
Danila Fedorin
2ddac38c3f Update with new changes to Agda 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-03 16:44:10 -08:00
Danila Fedorin
f00dabfc93 More cleanup to FiniteValueMap 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-02 16:23:33 -08:00
Danila Fedorin
01f4e02026 More cleanup to FiniteValueMap 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-02 16:05:42 -08:00
Danila Fedorin
fbbcd72037 Some early refactors of FiniteValueMap 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-02 15:18:10 -08:00
Danila Fedorin
03cdc65a7b Format AboveBelow a bit better (round two) 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-02 14:56:04 -08:00
Danila Fedorin
ec2b1ec3ba Format FiniteMap a little bit better 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-02 14:54:44 -08:00
Danila Fedorin
112dcb2208 Clean up AboveBelow slightly 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-02 14:34:15 -08:00
Danila Fedorin
8516f58b1d Remove helper comment. 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-02 14:13:02 -08:00
Danila Fedorin
6cb6281bc2 Make main run the fixed point algorithm 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-01 23:42:10 -08:00
Danila Fedorin
0774946211 Expose decidability from Map modules 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-01 23:27:49 -08:00
Danila Fedorin
65d1590358 Prove monotonicity of lub in one argument 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-01 23:26:25 -08:00
Danila Fedorin
ae3e2c28b0 Create bundles and add a program to evaluate some code with finite maps 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-01 21:58:58 -08:00
Danila Fedorin
97a4165b58 Expose bundles from FiniteValueMap 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-01 21:35:40 -08:00
Danila Fedorin
754714d770 Restore bundles in IterProd 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-01 21:12:22 -08:00
Danila Fedorin
ae09a27f64 Prove that finite value-maps are finite height 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-01 21:03:23 -08:00
Danila Fedorin
ca90f6509c Re-write the IterProd proofs to couple lattice and finite height lattice 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-01 21:02:56 -08:00
Danila Fedorin
29898e738b Clean up a bit 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-01 19:08:29 -08:00
Danila Fedorin
3a537f54ba Add a helpful utility function 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-01 19:08:11 -08:00
Danila Fedorin
52e7a7a208 Prove distributivity in the other direction, too 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-01 19:07:59 -08:00
Danila Fedorin
8715d6d89c Finish proof of from distributivity 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-02-26 00:00:18 -08:00
Danila Fedorin
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
Danila Fedorin
3ad7db738a Prove that 'to' preserves equality 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-02-25 18:43:54 -08:00
Danila Fedorin
53a08b8f79 Prove that 'first' presrves equality 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-02-25 18:08:03 -08:00
Danila Fedorin
d6064ff752 Expose 'locate' and 'forget' from Map 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-02-25 18:07:50 -08:00
Danila Fedorin
d280f5afdf Make auxillary definitions private 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-02-25 14:06:45 -08:00
Danila Fedorin
b96bac5518 Prove the other direction for inverses. 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-02-25 13:57:45 -08:00
Danila Fedorin
99fc21cef2 Expose 'subset-impl' from Map 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-02-25 13:57:28 -08:00