TuringMachines - TuringMachines Chapter3.1 1 Plan...

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Turing Machines Chapter 3.1 1
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Plan Turing Machines(TMs) Alan Turing  Church-Turing Thesis Definitions Computation Configuration Recognizable vs. Decidable Examples Simulator 2
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Alan Turing Alan Turing was one of the founding fathers of CS. His computer model the  Turing Machine (1936)   was the inspiration for the electronic computer  that came two decades later Was instrumental in cracking the Nazi Enigma  cryptosystem in WWII Invented the “Turing Test” used in AI The Turing Award.  Pre-eminent award in  Theoretical CS (called the “Nobel Prize” of CS) 3
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Church-Turing Thesis Thesis-  Every effectively calculable  function is a computable function Everything that is computable is  computable by a Turing machine The thesis remains a hypothesis Despite the fact that it cannot be formally  proven the Church–Turing thesis now has  near-universal acceptance. 4
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Turing Machine Most powerful machine so far… Similar to a finite automata  1. Uses infinite tape as memory 2. Can both read from and write to the tape 3. Read/write head can move left/right 4. Accept/reject take affect immediately  Cannot solve all problems
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Comparison with Previous  Models 6 Device Separate  Input? Read/Write Data  Structure Deterministic  by default? FA Yes None Yes PDA Yes LIFO Stack No TM No 1-way infinite  tape.  1 cell  access per step. Yes
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Formal Definition of a TM 7
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Successor Program Sample Rules: 1. If read 1, write 0, go right, repeat.
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