ca375976b7
Re-export members of isLattice together with the record where needed
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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2025-01-04 22:43:13 -08:00
c0238fea25
Clean up how proofs of fixed height are imported
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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2025-01-04 22:34:49 -08:00
1432dfa669
Clean up FiniteMap module structure a bit
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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2025-01-04 22:28:47 -08:00
ffe9d193d9
Parameterize FiniteMap by its keys right away
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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2025-01-04 22:19:02 -08:00
cf824dc744
Switch product to using instances
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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2025-01-04 21:33:59 -08:00
70847d51db
Swich AboveBelow to using instances
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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2025-01-04 21:23:07 -08:00
d96eb97b69
Switch maps (and consequently most of the code) to using instances
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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2025-01-04 21:16:22 -08:00
d90b544436
Use binary operator for decidable equality consistently
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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2025-01-04 19:08:28 -08:00
b0488c9cc6
Make 'IsDecidable' into a record to aid instance search
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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2025-01-04 18:58:56 -08:00
8abf6f8670
Make 'isLattice' for simple types be an instance
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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2025-01-04 17:27:38 -08:00
4da9b6d3cd
Fuse 'FiniteMap' and 'FiniteValueMap'
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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-12-31 19:21:23 -08:00
c2c04e3ecd
Rewrite Forward analysis to use statement-based evaluators.
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To keep old (expression-based) analyses working, switch to using
instance search and provide "adapters" that auto-construct statement
analyzers from expression analyzers.
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-12-31 17:31:01 -08:00
f01df5af4b
Slightly tweak module style in Forward.agda
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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-12-31 12:55:29 -08:00
b28994e1d2
Tighten exported definitions in Forward.agda
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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-12-31 00:29:39 -08:00
10332351ea
Use instance search to avoid multiply-nested modules
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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-12-31 00:21:10 -08:00
9131214880
Slightly clean up import for in-dec for Graph edges
2024-11-16 15:15:42 -08:00
4fba1fe79a
Remove unused 'singleton' calls for if/else CFGs
2024-11-16 14:42:16 -08:00
828b652d3b
Rename 'a' to 'b' in fixedpoint algorithm proof
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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-08-18 10:28:45 -10:00
12971450e3
Add guardedness to Main directly
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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-08-08 13:28:25 -07:00
7d2928ed81
Prove that the sign analysis is correct
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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-10 22:31:47 -07:00
5f946de5e8
Remove last remaining assumption for correctness
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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-10 21:30:56 -07:00
04bafb2d55
Prove that the inputs to wrap are empty
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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-10 21:25:40 -07:00
e0248397b7
Prove that predecessors imply edges
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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-09 23:18:51 -07:00
41ada43047
Move predecessor code into Graphs
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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-09 23:13:49 -07:00
a081edb881
Add a proof about filter's distributivity
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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-09 23:06:49 -07:00
3d2a507f2f
Almost prove correctness
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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-09 22:49:53 -07:00
82027ecd04
Move predecessor computation into Graphs
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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-09 21:26:32 -07:00
734e82ff6d
Wrap generated graphs to ensure entry and exit nodes have no extra edges
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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-09 21:08:32 -07:00
69d1ecebae
Prove that the bottom map's valyes are all bottoms
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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-09 20:48:32 -07:00
b78cb91f2a
Strengthen lemma about IterProd bottom to definition equality
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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-09 20:20:11 -07:00
16fa4cd1d8
Use records rather than nested pairs to represent 'fixed height'
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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-09 20:11:04 -07:00
95669b2c65
Prove that the iterated product is made from iterated bottom elements
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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-09 19:45:15 -07:00
6857f60465
Rename the min/max elements top bottom and top in Prod
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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-09 19:08:46 -07:00
f4392b32c0
Finish the last proof obligation for trace walking
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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-09 19:01:36 -07:00
794c04eee9
Prove the foldr-implies lemma
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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-09 18:37:50 -07:00
80069e76e6
Prove the recursive step of trace walking
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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-09 17:56:47 -07:00
a22c0c9252
Prove a property of multi-key lookup
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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-09 17:56:26 -07:00
20dc99ba1f
Re-indent some code to take up less horizontal space
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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-09 16:57:03 -07:00
b3a62da1fb
Add a proof that edges lead to 'incoming' inclusion
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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-09 16:56:45 -07:00
f0b0d51b48
Add unproven lemma about fold implication
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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-08 23:38:23 -07:00
8ff88f9f9e
Move helper code into separate function
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I'll need to reuse it.
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-08 23:35:02 -07:00
c1581075d3
Add more test programs
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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-08 23:30:23 -07:00
838aaf9c58
Start end-to-end proof of correctness
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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-08 23:30:03 -07:00
4ac9dffa9b
Prove that the var->lattice maps respect equality
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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-08 22:53:21 -07:00
3f5551d70c
Add a lemma about the effect of joinAll
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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-08 22:34:02 -07:00
5837fdf19b
Prove that 'updateAll' has preservation
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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-08 22:29:36 -07:00
4350919871
Add proof about setVariablesForState
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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-08 22:09:56 -07:00
7fe46b014c
Slightly simplify evaluation code
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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-08 22:05:50 -07:00
66d229c493
Prove that multi-statement evaluation "preserves" the validity of the analysis
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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-08 21:51:53 -07:00
1b8bea8957
Use foldl in multi-statement evaluation
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Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
2024-05-08 21:50:38 -07:00
