Building a Universal Machine
Building a Universal Machine
A Hands-on Introduction to Computability
About the Book
A comprehensive, step-by-step guide to unraveling the intricacies of computer functionality, tracing its evolution from ancient logic to electronic circuits. This book is supposed to be engaging, with an emphasis on practical applications rather than dry mathematical concepts.
The hands-on approach ensures that readers grasp the fundamentals as they embark on the task of building a universal computer in JavaScript using only previously learned elements.
About the Author
Table of Contents
- About the Book
- I.Welcome to the Machine
- 1.In Pursuit of Mechanical Thought
- Logic
- Metamathematics
- Incompleteness
- Entscheidungsproblem
- Church–Turing Thesis
- Timeline
- 2.Everything Is a Number
- Numeral Systems
- Sets
- Numbers
- 3.Simple Machines
- Finite Automata
- Nondeterministic Finite Automata
- Regular Languages and Expressions
- Pushdown Automata
- Nondeterministic Pushdown Automata
- Probabilistic Automata
- Context-Free Languages
- Linear Bounded Automata
- Context-Sensitive Languages
- Finite Automata
- 4.Universal Machines
- Turing Machines
- Decidable Languages
- Subroutines
- Multitape
- Fixed-End Tape
- Nondeterministic Machines
- Restricted Alphabet
- Universal Turing Machines
- Input Encoding
- Virtual Tapes
- Design
- Implementation
- Testing
- Programming
- Rrr
- Self-Interpreter
- The Halting Problem
- Semi-Decidable Languages
- Turing Machines
- 5.Number Machines
- Register Machines
- Counter Machines
- Random-Access Machines
- Stored-Program Machines
- Universal Register Machine
- Recursive Functions
- Primitive recursion
- Partial Recursion
- Universal Recursive Function
- Simulating Recursive Functions
- Register Machines
- 6.Programming Machines
- Turing Completeness
- Structured Programming
- 7.Small Machines
- Minimal-State Turing Machines
- Wolfram 2,3
- Lambda Calculus
- Non-Halting Lambda Functions
- Syntactic Sugar
- Numbers
- Functional Programming
- Combinatory Logic
- Tag Systems
- Universal Tag Systems
- Cyclic Tag Systems
- Cellular Automata
- The Game of Life
- Universal Cells
- Rules
- One-Instruction Set Computers
- Minimal-State Turing Machines
- 8.Hyper Machines
- Quantum Computers
- Super-Recursive Algorithms
- Oracles
- Inductive Turing Machines
- Exotic Machines
- 9.Mechanical Machines
- Ancient Devices
- Medieval Inventions
- First Reckoners
- Pascaline
- Leibniz calculator
- Jacquard Loom
- Early Computers
- Analytical Engine
- Z3
- Mark I
- ENIAC
- EDVAC
- 10.Logic Machines
- Logic Gates
- NOT Gate
- AND Gate
- OR Gates
- XOR Gate
- NOR Gate
- NAND Gate
- Logic Circuits
- Arithmetics
- Multiplexers
- Storages
- Logic Gates
- 11.Electronic Machines
- Integrated Circuits
- Transistors
- 12.Computer Machines
- Clock
- Cache
- Memory
- Universal Computer
- Processor
- 13.Mind Machines
- Universality
- Computing the Universe
- Machines Like Us
- In Summary
- Appendix
- Examples of Turing Machines
- Copier
- Palindromes
- Hello World
- Universal Turing Machine
- Structured Universal Machine
- Structured Universal Machine (Extended)
- Universal Minsky Machine
- Universal Recursive Function in JavaScript
- Universal Tag System
- Lambda Calculus Generic Recursion
- Examples of Turing Machines
- References
- 1.In Pursuit of Mechanical Thought
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