Study
CS-311 route
Unit 3 · Lesson 5 of 5 13 min

Closure and Decision Properties of Regular Languages

Combine two regular languages almost any way you like and the result is still regular, and that fact is a tool for proofs.

What this unit covers

Unit 3: Regular Expressions and Regular Languages

  1. 1 Regular Expressions and Regular SetsA one-line pattern that names a whole infinite language, and the algebra that lets you simplify it. · 12 min
  2. 2 Conversion of Regular Expressions to Finite AutomataSnap together tiny machines like Lego bricks, one per symbol and one per operator, and the whole pattern becomes an automaton. · 12 min
  3. 3 Conversion of Finite Automata to Regular ExpressionsRemove the states one by one, writing what each one did onto the arrows, until only the pattern is left. · 13 min
  4. 4 The Pumping Lemma for Regular LanguagesA machine with p rooms that walks p steps must enter some room twice, and that one fact proves which languages no automaton can recognise. · 14 min
  5. 5 Closure and Decision Properties of Regular LanguagesCombine two regular languages almost any way you like and the result is still regular, and that fact is a tool for proofs. · 13 min