λ Type Theory & Formal Verification
Discussion of dependent types, proof assistants, formal methods, and the mathematics of programs. From Martin-Löf to HoTT, from Lean to Rocq — if it has a type signature, it belongs here. Be nice. Constructive proofs only (of your arguments, too). 🐾

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📌 📚 [MEGATHREAD] Type Theory Resources — Books, Lectures, Papers
Sticky Announce
Started by admin-nyanko
218
41,200 views
admin-nyanko
⭐ Admin · 4,201 posts
ProofKitten
Today, 08:14
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📌 🐾 Ask a Dumb Question Thread (no judgment!)
Sticky
Started by admin-nyanko
876
88,500 views
admin-nyanko
⭐ Admin · 4,201 posts
MewMewMonad
Today, 11:47
[→ last post]
🔥 Dependent Types Are Not the Answer to Everything (fight me)
🔥 Hot Poll
Started by PracticalPurr · Pages: 1 2 3 ... 28
412
19,840 views
PracticalPurr
🐱 Regular · 891 posts
TypeNihilistKat
Today, 13:02
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💬 Lean 4 vs Rocq in 2025 — which do you actually use?
Hot Poll
Started by FormalFelinae · Pages: 1 2 ... 9
187
9,340 views
FormalFelinae
🐈 Veteran · 2,103 posts
RocqCatFan
Today, 09:55
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💬 HoTT: Any Practical Applications Yet or Are We Just Doing Math for Fun
Hot
Started by UnivalentUnicorn · Pages: 1 2 ... 7
143
7,612 views
UnivalentUnicorn
🐾 Regular · 554 posts
PathsAllTheWayDown
Yesterday, 22:18
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💬 Session Types Megathread — Resources, Papers, Discussion
New
Started by LinearPaws · Pages: 1 2 ... 5
98
4,207 views
LinearPaws
🐱 Regular · 701 posts
PiTypesPurr
Today, 10:33
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💬 The Curry-Howard Correspondence Appreciation Thread 🫶
Poll
Started by ProofsArePrograms · Pages: 1 2 4
79
6,040 views
ProofsArePrograms
🐾 Regular · 1,240 posts
LambdaCatgirl
Yesterday, 14:50
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💬 GADTs: Dependent Types at Home (Haskell/OCaml edition)
New
Started by GhostlyGADT · Pages: 1 2 3
67
3,891 views
GhostlyGADT
🐱 Regular · 334 posts
PatternMatchPurrr
Today, 07:41
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💬 Refinement Types vs Full Dependent Types — when is each appropriate?
Started by RefinementRawr · Pages: 1 2
52
3,210 views
RefinementRawr
🐾 Regular · 477 posts
LiquidTypeKitty
2 days ago
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💬 Parametricity and Free Theorems — getting theorems for free since 1989
New
Started by WadlerCatFan
41
2,104 views
WadlerCatFan
🐱 Member · 212 posts
PolyPurrfect
Today, 06:22
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💬 Totality Checking is Actually Based and You Should Use It
Started by TotallyTyped · Pages: 1 2
38
1,987 views
TotallyTyped
🐾 Regular · 589 posts
PartialPawsGirl
3 days ago
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💬 Type Inference: Hindley-Milner vs Bidirectional — a comparison
New
Started by InferenceEngine9
33
1,750 views
InferenceEngine9
🐱 Member · 145 posts
BidirBrigade
Today, 12:19
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💬 Cubical Type Theory ELI5 — I keep hearing about it but am scared
Started by CubeScared · Pages: 1 2
29
2,841 views
CubeScared
🐾 Newcat · 44 posts
CubicalCatgirl
4 days ago
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💬 Universe Polymorphism in Rocq — impredicativity crimes and how to avoid them
Started by ProposNyan
27
1,330 views
ProposNyan
🐱 Regular · 398 posts
CoCKitty
5 days ago
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💬 Effect Systems and Algebraic Effects — where do they fit in the type theory zoo?
New
24
1,102 views
EffectfulNekomata
🐱 Member · 187 posts
FreeMonadFurr
Today, 01:44
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💬 Agda vs Idris 2 — is the difference meaningful for everyday use?
Started by AgdaAdorer
21
1,480 views
AgdaAdorer
🐾 Regular · 622 posts
IdrisPurrsuit
1 week ago
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💬 Normalization by Evaluation — please explain like I have paws
Started by NbENewbie · Pages: 1 2
44
2,680 views
NbENewbie
🐱 Newcat · 23 posts
SemanticsSiamese
6 days ago
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💬 Setoid Hell — commiserating and coping strategies
Poll
Started by QuotientQueen · Pages: 1 2 3
57
3,508 views
QuotientQueen
🐾 Regular · 755 posts
HITHoarder
3 days ago
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💬 The Linear Types / Rust Ownership Connection — oversimplification or legit?
Started by BorrowChecker42
19
1,250 views
BorrowChecker42
🐱 Member · 156 posts
AffineCat
1 week ago
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💬 Intrinsically Typed Interpreters in Agda — a walkthrough
New
Started by AgdaAdorer
14
892 views
AgdaAdorer
🐾 Regular · 622 posts
IntrinsicNeko
Today, 04:18
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💬 Type-Driven Development — is this actually how you use Idris or is it a meme
Started by TDDKittyGirl
31
2,015 views
TDDKittyGirl
🐱 Regular · 310 posts
IdrisPurrsuit
5 days ago
[→ last post]
🔒 Intensional vs Extensional Equality — [LOCKED: became a flame war]
Locked
Started by EqEqEq · Pages: 1 2 ... 6
118
5,502 views
EqEqEq
🐾 Regular · 204 posts
admin-nyanko
2 weeks ago
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