abstract-algebra

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Finding a bug in Dummit and Foote's Abstract Algebra

Hacker News Top · 2026-09-04 Cached

A blog post detailing how the author found a bug in Dummit and Foote's Abstract Algebra textbook while formalizing it in Rocq, specifically that a proposition about injective functions and left inverses is false for empty sets.

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#abstract-algebra

Data types à la carte (2008)

Lobsters Hottest · 2026-05-30 Cached

This paper presents a technique for composing data types and functions from independent components, and extends the approach to combine free monads, enabling a modular structuring of Haskell's IO monad.

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