Chomsky Normal Form — Theory of Computation
🌱 What Is Chomsky Normal Form? A CFG is said to be in Chomsky Normal Form (CNF) when every production …
Context-Free Grammar That Verifies Addition
🌱 What Does It Mean to Verify Addition? Imagine you have a string like: We want a grammar that accepts …
Context-Free Grammar (CFG) for the Complement of a Non-Regular Language
Let’s explore this using a famous non-regular language, then see how to build a context-free grammar (CFG) for its complement. …
Context-Free Grammar for a Nonregular Language
🌱 The Classic Nonregular Language: L = { aⁿ bⁿ | n ≥ 0 } This language contains strings like: …
Properly Nested Parentheses — Context-Free Languages
🌱 What Does “Properly Nested” Mean? A string of parentheses is properly nested if: Here are examples: ✔ Proper: (), …
Context-Free Grammars — Context-Free Languages
🌱 What Is a Context-Free Language? A Context-Free Language is a set of strings that can be generated from a …
Context-Free Languages — Theory of Computation
🌱 What Is a Context-Free Language? A Context-Free Language (CFL) is a type of formal language that can be generated …
Proof of Higman’s Theorem — Theory of Computation
🌱 What We’re Trying to Prove We want to show: All strings built from a well-quasi-ordered alphabet are also well-quasi-ordered …
Dickson’s Theorem Theory of Computation
⭐ What Higman’s Theorem Says (in human words) Here is the gentle version: If your alphabet is nicely ordered, then …
Higman’s Theorem — Theory of Computation
🌱 what is the idea behind the theorem? Higman’s Theorem is about sequences (think: strings made from alphabets) and how …