Linear Logic for Constructive Mathematics | The n-Category Café
Linear Logic for Constructive Mathematics Posted by Mike Shulman Intuitionistic logic, i.e. logic without the principle of excluded middle (P∨¬PP \vee \neg P), is important for many reasons. One is that it arises naturally as the internal logic of toposes and more general categories. Another is that it is the logic traditionally used by constructive mathematicians — mathematicians following Brouwe
15-816 Linear Logic / Schedule
15-816 Linear Logic Schedule Lectures are Monday and Wednesday, 12:00-1:20 EST, GHC 4303. We provide live streaming video during lecture The class notes provide additional reading material. They complement, but do not replace the lecture. The schedule is subject to change throughout the semester. Date Lecture Notes Additional Reading Video Due
linear types · Wiki · Glasgow Haskell Compiler / GHC · GitLab
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Session Types in a Linearly Typed Multi-Threaded Lambda-Calculus
We present a formalization of session types in a multi-threaded lambda-calculus (MTLC) equipped with a linear type system, establishing for the MTLC both type preservation and global progress. The latter (global progress) implies that the evaluation of a well-typed program in the MTLC can never reach a deadlock. As this formulated MTLC can be readily embedded into ATS, a full-fledged language with
[pdf]線形論理の誕生
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論理学の考え方でつくられた、LLプログラミング言語 obake - Qiita
論理学の考え方で、 関数型プログラミング言語の定義＆実装の仕方の例に触発されて、 深夜アニメを見ながら OCamlでつくられた、 脱関数型プログラミング言語 obake (おばけ)を紹介します。 関数型言語とかは前世紀に置いていって、21世紀は論理学を基にした新しいプログラミングパラダイムで脱関数型言語しましょう！ break world 「Hello, world!」を書こうと思ったのですが、あまりに難しいので最初はすぐ停止するプログラムです。プログラムは「命令」からできていて、命令は２つの要素、「値」と「計算」の組み合わせです。 「命令」 = 「値」 + 「計算」 breakは組み込み「計算」になります。これだけでは「命令」にはならないので、プログラム起動時に自動的に「現実世界」という「値」が設定されて、「命令」が作られます。値を組み合わせることによって
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Chu construction on linear logic
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Programming Interactive Worlds with Linear Logic | Hacker News
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