From dbcaee88c55f7ab0b85eb2c419018745bb394c7a Mon Sep 17 00:00:00 2001 From: medusa Date: Wed, 6 Aug 2025 09:13:29 -0500 Subject: [PATCH] Update tech_docs/CUE_your_new_friend.md --- tech_docs/CUE_your_new_friend.md | 37 +++++++++++++++++++++++++++++++- 1 file changed, 36 insertions(+), 1 deletion(-) diff --git a/tech_docs/CUE_your_new_friend.md b/tech_docs/CUE_your_new_friend.md index 7219e4b..a4c18c6 100644 --- a/tech_docs/CUE_your_new_friend.md +++ b/tech_docs/CUE_your_new_friend.md @@ -282,4 +282,39 @@ graph TD %% Examples I["Example:\nname: string & =~'^[A-Z]'"] --> D J["Example:\nrole: 'admin' | 'user'"] --> G -``` \ No newline at end of file +``` + +--- + +It looks like you're describing concepts related to type systems or constraint solving in programming languages. Let's break down each term and how they might be used in such a context: + +### 1. Top (\(_\)) +- **Definition**: The "Top" value is a universal type or constraint that can accept any value. It represents the most general or unrestricted type. +- **Example**: In a type system, the "Top" type might be something like `Any` or `Object`, which can hold any kind of value (e.g., strings, integers, objects, etc.). + +### 2. Bottom (\(_|\_\)) +- **Definition**: The "Bottom" value represents an invalid or conflicting state. It is often used to indicate an error or an impossible condition. +- **Example**: In a type system, the "Bottom" type might be something like `Never` or `Void`, which represents a type that can never be instantiated. It is used to signal errors or contradictions. + +### 3. Unification (\(&\)) +- **Definition**: Unification combines constraints in a way that is similar to a logical AND. It finds the most specific type or constraint that satisfies all given constraints. +- **Example**: If you have two constraints \(A\) and \(B\), \(A \& B\) will result in a new constraint that is the intersection of \(A\) and \(B\). For example, if \(A\) is `int` and \(B\) is `number`, \(A \& B\) might result in `int` because `int` is a more specific type of `number`. + +### 4. Disjunction (\(|\)) +- **Definition**: Disjunction allows alternatives, similar to a logical OR. It represents a type or constraint that can be one of several possible values. +- **Example**: If you have two constraints \(A\) and \(B\), \(A | B\) will result in a new constraint that can be either \(A\) or \(B\). For example, if \(A\) is `int` and \(B\) is `string`, \(A | B\) represents a type that can be either an `int` or a `string`. + +### Example in Practice +Let's consider a simple example in a hypothetical type system: + +```plaintext +Type A = int +Type B = string +Type C = A & B +Type D = A | B +``` + +- **Type C**: Since `int` and `string` are incompatible types, \(A \& B\) would result in the "Bottom" type (\(_|\_\)), indicating an error or conflict. +- **Type D**: \(A | B\) would result in a type that can be either `int` or `string`. + +These concepts are fundamental in type inference and constraint solving in programming languages, particularly in statically typed languages like TypeScript, OCaml, or Haskell. \ No newline at end of file