Top Tweets for #turingcompleteness
Before you ask —
Yes, the Tritium Nanobot Collective is Turing complete.
#TritiumNanobotCollective #TuringCompleteness #Gurkistan
The Radiant Tube! 👍👍👍
Mint your #MineableCoin
#Tokenize your #DigitalAssets
#NFT, #DigitalArts capability fully #Allonchain
#BuildYourDream apps on #Turingcompleteness
#Web3, #BlockchainApp on #BlockchainSecurity
#Layer1, #UTXO/Account Hybrid, #PoW, #SHA512/256
#InductionProofs free from #BacktoGenesis problem
#TrulyDecentralized protocol, #PublicBlockchain
#NextBitcoin refined for #L1-#Scalability, #Micropayment & all #BlockchainUtilities & #DigitalUtilities
#AnotherBitcoin, #BeyondBitcoin
#Radiant will change the way #BlockchainIndustry is
$RXD, Future is #Radiant ✨
Mint Your Own Coins, NFTs with Photonics Wallet:
https://t.co/3aVEyctEfL
Glyphs Swap / P2P Onchain Swaps RXD20:
https://t.co/ux0FYg1cyF
Glyphs Guide / Mining RXD20:
https://t.co/X1musrsvrd
Radiant Whitepaper / A Peer-to-Peer Digital Asset System:
https://t.co/Iees4eS1kO
Radiant Foundation
https://t.co/X61gwqKkIP
Radiant Blockchain:
https://t.co/TTGed9sdzQ
*Thanks to the artist who contributed this beautiful drawing!
@RXDMaximalist https://t.co/1l3IDANoUJ
Mint your #MineableCoin
#Tokenize your #DigitalAssets
#NFT, #DigitalArts capability fully #Allonchain
#BuildYourDream apps on #Turingcompleteness
#Web3, #BlockchainApp on #BlockchainSecurity
#Layer1, #UTXO/Account Hybrid, #PoW, #SHA512/256
#InductionProofs free from #BacktoGenesis problem
#TrulyDecentralized protocol, #PublicBlockchain
#NextBitcoin refined for #L1-#Scalability, #Micropayment & all #BlockchainUtilities & #DigitalUtilities
#AnotherBitcoin, #BeyondBitcoin
#Radiant will change the way #BlockchainIndustry is
$RXD, Future is #Radiant ✨
Mint Your Own Coins, NFTs with Photonics Wallet:
https://t.co/3aVEyctEfL
Glyphs Swap / P2P Onchain Swaps RXD20:
https://t.co/ux0FYg1cyF
Glyphs Guide / Mining RXD20:
https://t.co/X1musrsvrd
Radiant Whitepaper / A Peer-to-Peer Digital Asset System:
https://t.co/Iees4eS1kO
Radiant Foundation
https://t.co/X61gwqKkIP
Radiant Blockchain:
https://t.co/TTGed9sdzQ
*Thanks to the artist who contributed this beautiful drawing!
$RXD, Future is #Radiant! ✨
Mint your #MineableCoin
#Tokenize your #DigitalAssets
#NFT, #DigitalArts capability fully #Allonchain
#BuildYourDream apps on #Turingcompleteness
#Web3, #BlockchainApp on #BlockchainSecurity
#Layer1, #UTXO/Account Hybrid, #PoW, #SHA512/256
#InductionProofs free from #BacktoGenesis problem
#TrulyDecentralized protocol, #PublicBlockchain
#NextBitcoin refined for #L1-#Scalability, #Micropayment & all #BlockchainUtilities & #DigitalUtilities
#AnotherBitcoin, #BeyondBitcoin
#Radiant will change the way #BlockchainIndustry is
Mint Your Own Coins, NFTs with Photonics Wallet:
https://t.co/3aVEyctEfL
Glyphs Swap / P2P Onchain Swaps RXD20:
https://t.co/ux0FYg1cyF
Glyphs Guide / Mining RXD20:
https://t.co/X1musrsvrd
Radiant Whitepaper / A Peer-to-Peer Digital Asset System:
https://t.co/Iees4eS1kO
Radiant Blockchain:
https://t.co/TTGed9sdzQ
When i realized that radiant have no creator, I understood the same thing about creator authority.
And I became extremely #bullish
Well if you think asking it on X will list on Binance, why not all? All coins should be traded on all exchanges, right 😊😊
Mint your #MineableCoin
#Tokenize your #DigitalAssets
#NFT, #DigitalArts capability fully #Allonchain
#BuildYourDream apps on #Turingcompleteness
#Web3, #BlockchainApp on #BlockchainSecurity
#Layer1, #UTXO/Account Hybrid, #PoW, #SHA512/256
#InductionProofs free from #BacktoGenesis problem
#TrulyDecentralized protocol, #PublicBlockchain
#NextBitcoin refined for #L1-#Scalability, #Micropayment & all #BlockchainUtilities & #DigitalUtilities
#AnotherBitcoin, #BeyondBitcoin
#Radiant will change the way #BlockchainIndustry is
$RXD, Future is #Radiant ✨
Mint Your Own Coins, NFTs with Photonics Wallet:
https://t.co/3aVEyctEfL
Glyphs Swap / P2P Onchain Swaps RXD20:
https://t.co/ux0FYg1cyF
Glyphs Guide / Mining RXD20:
https://t.co/X1musrsvrd
Radiant Whitepaper / A Peer-to-Peer Digital Asset System:
https://t.co/Iees4eS1kO
Radiant Blockchain:
https://t.co/TTGed9sdzQ
$RXD, #Radiant, the #PublicBlockchain
Mint your #MineableCoin
#Tokenize your #DigitalAssets
#NFT, #DigitalArts capability fully #Allonchain
#BuildYourDream apps on #Turingcompleteness
#Web3, #BlockchainApp on #BlockchainSecurity
#Layer1, #UTXO/Account Hybrid, #PoW, #SHA512/256
#InductionProofs free from #BacktoGenesis problem
#TrulyDecentralized protocol
#NextBitcoin refined for #L1-#Scalability, #Micropayment & all #BlockchainUtilities & #DigitalUtilities
#AnotherBitcoin, #BeyondBitcoin
#Radiant will change the way #BlockchainIndustry is
$RXD, Future is #Radiant ✨
Mint Your Own Coins, NFTs with Photonics Wallet:
https://t.co/3aVEyctEfL
Glyphs Swap / P2P Onchain Swaps RXD20:
https://t.co/ux0FYg1cyF
Glyphs Guide / Mining RXD20:
https://t.co/X1musrsvrd
Radiant Whitepaper / A Peer-to-Peer Digital Asset System:
https://t.co/Iees4eS1kO
Radiant Blockchain:
https://t.co/TTGed9sdzQ
Can totally see this coming! ☺️
Mint your #MineableCoin
#Tokenize your #DigitalAssets
#NFT, #DigitalArts capability fully #Allonchain
#BuildYourDream apps on #Turingcompleteness
#Web3, #BlockchainApp on #BlockchainSecurity
#Layer1, #UTXO/Account Hybrid, #PoW, #SHA512/256
#InductionProofs free from #BacktoGenesis problem
#TrulyDecentralized protocol
#NextBitcoin refined for #L1-#Scalability, #Micropayment & all #BlockchainUtilities & #DigitalUtilities
#AnotherBitcoin, #BeyondBitcoin
#Radiant will change the way #BlockchainIndustry is
$RXD, Future is #Radiant ✨
Mint Your Own Coins, NFTs with Photonics Wallet:
https://t.co/3aVEyctEfL
Glyphs Swap / P2P Onchain Swaps RXD20:
https://t.co/ux0FYg1cyF
Glyphs Guide / Mining RXD20:
https://t.co/X1musrsvrd
Radiant Whitepaper / A Peer-to-Peer Digital Asset System:
https://t.co/Iees4eS1kO
Radiant Blockchain:
https://t.co/TTGed9sdzQ
Zoe, how do you enjoy seeing your kids interacting with #DigitalAssets?
Just letting them be buyers, or having them be creators of those?
Mint your #MineableCoin
#Tokenize your #DigitalAssets
#NFT capability fully #Onchain
#BuildYourDream apps on #Turingcompleteness
#Web3, #BlockchainApp on #BlockchainSecurity
#Layer1, #UTXO/Account Hybrid, #PoW, #SHA512/256
#InductionProofs free from #BacktoGenesis problem
#TrulyDecentralized protocol
#NextBitcoin refined for #L1-#Scalability, #Micropayment & all #BlockchainUtilities & #DigitalUtilities
#AnotherBitcoin, #BeyondBitcoin
$RXD, Future is #Radiant ✨
Radiant Whitepaper: A Peer-to-Peer Digital Asset System
https://t.co/Iees4eS1kO
https://t.co/TTGed9sdzQ
*Thanks to the artist who contributed this beautiful drawing!
Turing completeness & Halting Problem
If we say the native Bitcoin scripting language is Turing complete, many people will criticize us.
#TuringCompleteness refers to a programming language that can implement any computation a Turing machine is capable of. This concept comes from Alan #Turing, who proposed the #TuringMachine model. It’s an abstract machine that performs calculations by reading and writing symbols on an infinitely long tape.
If a programming language is Turing complete, it means it can simulate all computational functions of a Turing machine. Typically, this requires the language to support conditional branching (like if/else statements) and loops (or recursion) to make decisions based on data and repeatedly perform certain actions until a specific condition is met.
Is it reasonable that a program in an infinite loop could run indefinitely on an infinitely long tape? Is it reasonable to say that a program that can implement an infinite loop is Turing complete?
In fact, simple infinite loops can be implemented with a very basic set of instructions, but if there's insufficient control structure (like conditional branches) and data handling capabilities, such systems cannot be considered Turing complete. Turing completeness requires the ability to express any complex algorithmic logic, including but not limited to loop structures. Furthermore, infinite loops introduce another issue: the Halting Problem.
The #HaltingProblem, proposed by Alan Turing in the 1930s, is a well-known problem in computation theory. It explores whether there exists an algorithm that can determine whether any given program and its input will eventually stop executing.
Turing proved the Halting Problem is unsolvable. Turing-complete systems can express and execute all possible programs, including those that never halt. The unsolvability of the Halting Problem arises directly from the capabilities of these systems. In short, the robust computational power of Turing-complete systems introduces uncertainty because we cannot predict in advance whether a program will stop in all cases.
Now let’s see why some claim Bitcoin's script is not Turing complete. Because it lacks loop commands in its opcode, some argue it's not Turing complete. However, assembly language also lacks loop commands, yet no one disputes its Turing completeness. Assembly language provides the necessary tools to implement loops primarily through conditional jump instructions. Bitcoin script is similar to assembly in that loops can be unrolled. For example, to sum from 1 to 100, you could keep adding: 1+2=3, 3+3=6, 6+4=10, and so on until 100. This approach has a benefit—it addresses the Halting Problem. We know that Bitcoin transactions and blocks are limited in size, from 1MB to 4MB, potentially larger. Therefore, an unrolled script will eventually hit this size limit and force the program to stop.
One might say: Bitcoin script language is Turing complete and also solves the Halting Problem.
In Ethereum, the Halting Problem is addressed by charging a fee (gas) for each operation. Theoretically, a wealthy Ethereum user could pay to run a program for a year, potentially clogging the EVM.
However, on #Bitcoin , no amount of money can infinitely increase block size, ensuring programs must stop. This is part of the consensus.
In the computing field, there’s an important principle: the KISS principle (Keep It Simple, Stupid). #Satoshi #Nakamoto adhered to this principle.
Maintaining simplicity in a system is a crucial consideration for designers. In environments like @NoteProtocol, script size is still controlled, currently providing about 2.5K of script JSON storage space. In the future, it could expand to between 1MB and 4MB.
Follow me to learn about #BitcoinPrinciples and the advanced Bitcoin scripting language at @scryptplatform for @NoteProtocol
This means that #Ethereum can boast #TuringCompleteness (can simulate any Turing machine and is able to recognize or decide other data-manipulation rule sets) via the use of these opcodes, giving it a grand potential indeed.
8/x
@AdamBowcutt @RealCoinGeek @kurtwuckertjr Dogebsv #uponly! #BSV "We test in prod"
do support us, Follow @DUponly
Join Telegram https://t.co/Ba4xhP4V4i
visit our Website https://t.co/I14tit7112
#TuringCompleteness
@BitcoinSV_AUS Dogebsv #uponly! #BSV "We test in prod"
do support us, Follow @DUponly
Join Telegram https://t.co/Ba4xhP4V4i
visit our Website https://t.co/I14tit7112
#TuringCompleteness
@WilliamShatner then if you really wanna find the truth about who satoshi is, take another look at bitcoinsv and whats happening and you will see.
its the hottest thing in crypto. #TULIPTRUST #CSW #SCALING #TURINGCOMPLETENESS #PATENTS
https://t.co/EqxEOdmP4q
Google Cloud Partners With Enterprise Blockchain Platform Cypherium #blockchain #dltsolutions #turingcompleteness #virtualmachine #javaprogramminglanguage #bitsmart https://t.co/gQ8eQ8FaCI
"Mathematics, rightly viewed, possesses not only truth but supreme beauty, a beauty cold and austere like that of sculpture." R.I.P #Turing, father of the Turing Complete Machine. #Manchester @CoinFestUK @CrownPlatform #turingcompleteness
I'll just leave this here: https://t.co/ObJxZDenbf
@LamdenTau @stuartrfarmer #turing #church #cryptography #turingcompleteness #crypto #cryptocurrency #smartcontracts #cybersecurity
كم حاسب آلي في حاسبك الآلي؟ | https://t.co/d2zwixjpBn
https://t.co/HMTumyYpyS
ما أقول إلا الله يعين من يعمل في أمن المعلومات :-)
#TuringCompleteness #Security
What makes a language Turing-complete? https://t.co/BKO9gon0Qv #turingcompleteness
What does it mean that Ethereum is "turing complete" https://t.co/o9f4ZBIpBR #ethereum #blockchain #turingcompleteness
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