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#lambda-calculus

Programming Language Fundamentals in Agda

Lobsters Hottest ↗ · 6d ago Cached

Programming Language Foundations in Agda (PLFA) 是一本使用证明助手 Agda 讲解编程语言理论的开源教材,涵盖逻辑基础、操作语义与指称语义,并列出了多门采用该书授课的高校课程。

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#lambda-calculus

Lambda MicroEgg

Lobsters Hottest ↗ · 2026-09-20 Cached

Lambda MicroEgg is a tool implementing an e-graph with support for well-scoped alpha-aware binders and higher-order Miller patterns for program synthesis and rewriting.

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#lambda-calculus

Intuitionistic Type Theory (2024)

Lobsters Hottest ↗ · 2026-09-18 Cached

This article provides an overview of intuitionistic type theory, a logical framework based on dependent types and lambda calculus, originating from Brouwer's intuitionism and Russell's type theory, with applications in proof assistants and constructive mathematics.

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#lambda-calculus

Principia Mathematica is modern and insightful

Hacker News Top ↗ · 2026-08-12 Cached

A blog post arguing that Principia Mathematica anticipated modern programming language concepts such as lambda calculus, types, and referential transparency.

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#lambda-calculus

Extraordinary Ordinals

Lobsters Hottest ↗ · 2026-05-12 Cached

An academic exploration of various encodings for ordinal numbers within lambda calculus, comparing Linear, Affine, and Non-Linear systems including Mackie and Parigot encodings.

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#lambda-calculus

7 lines of code, 3 minutes: Implement a programming language (2010)

Hacker News Top ↗ · 2026-05-11 Cached

This article presents a minimalist 7-line interpreter for a Turing-equivalent functional language based on lambda calculus, demonstrating the eval/apply design pattern.

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#lambda-calculus

An Algorithmic Reconstruction of Normalisation by Evaluation

Lobsters Hottest ↗ · 2026-04-22 Cached

The article presents an algorithmic reconstruction of normalisation by evaluation (NbE) for untyped lambda calculus, showing step-by-step optimizations that yield an asymptotically faster normaliser than standard NbE implementations.

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#lambda-calculus

@hbouammar: Maybe long-context reasoning should stop relying on models writing their own recursive control code. We open-sourced λ-…

X AI KOLs Timeline ↗ · 2026-04-22 Cached

Researchers release λ-RLM, an open-source typed λ-calculus runtime that replaces self-written recursive control code with pre-verified combinators, boosting long-context reasoning accuracy by up to 21.9% and winning 29/36 trials.

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