Complexity Analyzer
Analyze and compare time and space complexity of different computational models
Complexity Analyzer
Analyze and compare time and space complexity of different Turing Machine variants
Complexity Analyzer 📊
Analyze and compare time and space complexity of different Turing Machine variants interactively
Analysis Controls
Single-Tape TM
Classic Turing machine with one infinite tape
Complexity Measures:
Time: T(n)
Space: S(n)
Advantages:
Simple model
Easy to analyze
Universal computation
Limitations:
Can be inefficient
Quadratic slowdown for some problems
Example Problems
Palindrome Check
Check if string is palindrome
Time: O(n²)
Space: O(n)
Must scan back and forth, quadratic time
Addition
Add two unary numbers
Time: O(n)
Space: O(n)
Linear scan with constant extra space
Multiplication
Multiply two unary numbers
Time: O(n²)
Space: O(n²)
Repeated addition, quadratic in both dimensions
Complexity Growth Chart
Time complexity comparison for Palindrome Check
Single-tape
Multi-tape
Complexity Classes
P (Polynomial Time)
Problems solvable in polynomial time
Deterministic TM
NP (Nondeterministic P)
Problems verifiable in polynomial time
Nondeterministic TM
PSPACE
Problems using polynomial space
Space-bounded TM
BPP (Bounded-error PP)
Probabilistic polynomial time
Probabilistic TM