DanilaFe/agda-spa
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83 Commits

Author SHA1 Message Date
Danila Fedorin
69d1ecebae Prove that the bottom map's valyes are all bottoms 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-05-09 20:48:32 -07:00
Danila Fedorin
b78cb91f2a Strengthen lemma about IterProd bottom to definition equality 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-05-09 20:20:11 -07:00
Danila Fedorin
16fa4cd1d8 Use records rather than nested pairs to represent 'fixed height' 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-05-09 20:11:04 -07:00
Danila Fedorin
95669b2c65 Prove that the iterated product is made from iterated bottom elements 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-05-09 19:45:15 -07:00
Danila Fedorin
6857f60465 Rename the min/max elements top bottom and top in Prod 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-05-09 19:08:46 -07:00
Danila Fedorin
f4392b32c0 Finish the last proof obligation for trace walking 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-05-09 19:01:36 -07:00
Danila Fedorin
794c04eee9 Prove the foldr-implies lemma 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-05-09 18:37:50 -07:00
Danila Fedorin
a22c0c9252 Prove a property of multi-key lookup 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-05-09 17:56:26 -07:00
Danila Fedorin
cfa3375de5 Expose more functions from FiniteMap 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-05-08 20:50:05 -07:00
Danila Fedorin
6b116ed960 Forward some map function to Finite{,Value}Map 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-05-08 20:34:15 -07:00
Danila Fedorin
1a7b2a1736 Adjust behavior of eval to not require constant 'k in vars' threading 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-22 17:15:40 -07:00
Danila Fedorin
040c13caba Use instances to simplify printing code 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-11 12:50:05 -07:00
Danila Fedorin
56da61b339 Delete the bundles since they did not turn out all that useful 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-11 12:14:53 -07:00
Danila Fedorin
8964ba59a1 Prove monotonicity of eval 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-10 20:29:05 -07:00
Danila Fedorin
237250cf72 Stop using modules in 'Sign' analysis 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-10 19:23:48 -07:00
Danila Fedorin
8515491327 Simplify AboveBelow a bit to avoid nested modules 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-10 18:43:10 -07:00
Danila Fedorin
3305de4710 Remove need for explicit arguments in map derivatives 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-10 18:35:29 -07:00
Danila Fedorin
f21ebdcf46 Start working on the evaluation operation. 
Proving monotonicity is the main hurdle here.

Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-03-10 18:13:01 -07:00
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
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
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
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
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
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
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
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
b96bac5518 Prove the other direction for inverses. 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
 2024-02-25 13:57:45 -08:00