Software Foundations
The Software Foundations series is a broad introduction to the mathematical underpinnings of reliable software. The principal novelty of the series is that every detail is one hundred percent formalized and machine-checked: the entire text of each volume, including the exercises, is literally a "proof script" for the Coq proof assistant. The exposition is intended for a broad range of readers, fro
The Agda Wiki
Agda is a dependently typed functional programming language. It has inductive families, i.e., data types which depend on values, such as the type of vectors of a given length. It also has parametrised modules, mixfix operators, Unicode characters, and an interactive Emacs interface which can assist the programmer in writing the program. Agda is a proof assistant. It is an interactive system for wr
Agda 練習 - zyxwvの日記
あまりわかってないけど、とりあえずいくつか適当な関数を書いたのでメモ。依存型うける(気がする)。 agda2 の emacs モードが使いこなせないのと関数を実行する方法がわからんのが問題である。 module NList where data Nat : Set where zero : Nat succ : Nat -> Nat _+_ : Nat -> Nat -> Nat zero + n = n (succ m) + n = succ (m + n) _*_ : Nat -> Nat -> Nat zero * _ = zero (succ zero) * n = n (succ m) * n = m + (m * n) data List (A : Set) : Nat -> Set where [] : List A zero _::_ : {n : Nat} -> A ->
Welcome! | The Coq Proof Assistant
Coq is a formal proof management system. It provides a formal language to write mathematical definitions, executable algorithms and theorems together with an environment for semi-interactive development of machine-checked proofs. Typical applications include the certification of properties of programming languages (e.g. the CompCert compiler certification project, the Verified Software Toolchain f
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