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      "permlink": "starcash-nukeproof-a-non-interactive-zero-knowledge-implementation-of-bulletproofs-on-top-of-starcash-unforkable-realtime",
      "title": "Starcash Nukeproofs: A non-interactive zero-knowledge implementation of Bulletproofs on top of Starcash unforkable realtime blockchain federation for powering infinitely-scalable general-purpose secure MPC applications",
      "body": "We hereby describe Nukeproofs, an implementation of Bulletproofs[BP], a non-interactive zero-knowledge proof\nprotocol with very short proofs and without a trusted setup to enable secure multiparty-computation(MPC) on top of Starcash unforkable realtime blockchain of Orch Network. Besides enabling MPC it would secure p2p decentralized design, engineering, testing and distribution of non-clonable orchized software applications and components as well as an instantaneous reply-back search engine for distributed cyber-physical systems such as mobile and industrial cobots, IoT sensors & actuators, autonomous machines/platforms and tokenized hardware.\nWe call this efficient and fast zero-knowledge layer Nukeproofs. And non-clonable software applications and\ncomponents as nukeproof software apps and components.\n\n\nIntroduction\n\nOrch team busy implementing Starcash earlier made an attempt to incorporate ZKSTARK as its zero-knowledge layer without a trusted setup. But we were stuck with the size of proofs and computational inefficiency of ZKSTARK soon. Then few months ago Benedick Bunz et al released their work on efficient zero-knowledge proof systems Bulletproofs.\n\nAfter realizing it’ s the best replacement for ZKSTARK we have quickly decided to implement it for Starcash.\nThe efficiency of Bulletproofs is stunning in comparison to there ZK systems. A Bulletproof for knowing a 384-bit\nPedersen hash preimage is about 1 KB and takes 61 ms to verify. The marginal cost of verifying an additional proof is 2.1 ms. The SHA256 preimage proof is 1.4 KB and takes 750 ms to verify. The marginal cost of verifying additional\nproofs is 41.5 ms. The proving and verification time grow linearly. The batch verification first grows logarithmically and then linearly. For small circuits the logarithmic number of exponentiations dominate the cost while for larger\ncircuits the linear scalar operations do.\n\nTechnology\n\nAn important assumption is Proofs=Programs. This non-trivial result is the Curry-Howard isomorphism. But unlike\nTauchain, we can implement Turing-completeness in Nukeproofs due to bounded nature of NIZK proofs and presence of Star Power, a form of gas price similar to Ethereum Gas to pay for on-chain computing any complex smart contract or code or a program.Proof-Program equivalence aka Curry-Howard isomorphism is implemented in all functional programming languagese.g. Haskell. \n\n![photo_2019-01-21_17-08-53.jpg](https://cdn.steemitimages.com/DQmTJcUvmDGkVBaNYwMVsaxNGKvH3y67k689wohDmkYf21G/photo_2019-01-21_17-08-53.jpg)\n\nThen we extend it to computational Trinitarianism known as Curry-Howard-Lambek isomorphism by establishing one-to-one correspondence between proofs/programs with Category theory, modern foundation of mathematics(older was Set-theoretic). The software requirements specifications(SRS) of Orchized blockchain software and software components will be written in a Category theoretic Petrinets and its algebraic symmetry [SPN].\n\n![photo_2019-01-21_17-09-02.jpg](https://cdn.steemitimages.com/DQmVMYKVefUhx6NvHkFPghRWxav7cbW4VXyakYnuSCQTg6E/photo_2019-01-21_17-09-02.jpg)\n\nApplications\n\nHere is a practical use case of a group of freelance developers or a small software company Team09 teamed up to\ndeliver a software project prosted by a bonafide corporation Client Corp88 on Orch DevFac peer-to-peer software\ndesign, engineering and distribution platform.\n\nCorp88 posted the SRS of the software it wants to get delivered within a predetermined deadline in Nukeproofs\ncategory theoretic Pretrinets codenamed CatModels. And they have transferred USD550K toward the commitment\ndeposit to DevFac as per the Standard Contract Terms(SCT). Now Team09 bids for the contract and takes it up. They\ncommit to deliver the debugged software along with source code and runtime execution trace of its test runs within 100 days(deadline).\n\n![photo_2019-01-21_17-08-53.jpg](https://cdn.steemitimages.com/DQmTJcUvmDGkVBaNYwMVsaxNGKvH3y67k689wohDmkYf21G/photo_2019-01-21_17-08-53.jpg)\n\nNow on or before 100th day, Team09 safely and securely delivers the software, code and its runtime execution trace\nlogs and its test runs of Starcash Blockchain Virtual Machine(BVM). And Corp88 securely transferred funds via time-locked-deposit to Team09 without exposing themselves(either party) to any undue mutual counterparty risks of non-payments, bankruptcies, unfixed bugs, hidden malicious code and outright frauds.\n\nNukeproofs guarantees not only complete anonymity of all parties and confidentiality of all transactions,\nbut also that of all data, source code, binary/runtime code and voice/audio/video stored and processed on\nOrch Network and Orch-powered platforms, dapps/apps and software components. Nukeproofs in\nconjunction with BlakeB SHA512 will guarantee freedom to one and all.\n\nReferences\n\n[BP] Bulletproofs: Short Proofs for Confidential Transactions and More\nBenedikt Bunz,Jonathan Bootle, Dan Boneh, Andrew Poelstra, Pieter Wuille and Greg Maxwell\nStanford University\nUniversity College London\nBlockstream\n[SPN] About Tauchain, Ohad Asor\n[OYP] Orch Yellow Paper URL: https://orch.network/static/docs/starcash.pdf\n\n\n\nhttps://t.me/Orch_Network/124531",
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      "body": "Congratulations @orch! You have completed the following achievement on the Steem blockchain and have been rewarded with new badge(s) :\n\n<table><tr><td>https://steemitimages.com/60x70/http://steemitboard.com/@orch/comments.png?201901212022</td><td>You made more than 50 comments. Your next target is to reach 100 comments.</td></tr>\n</table>\n\n<sub>_[Click here to view your Board](https://steemitboard.com/@orch)_</sub>\n<sub>_If you no longer want to receive notifications, reply to this comment with the word_ `STOP`</sub>\n\n\nTo support your work, I also upvoted your post!\n\n\n> Support [SteemitBoard's project](https://steemit.com/@steemitboard)! **[Vote for its witness](https://v2.steemconnect.com/sign/account-witness-vote?witness=steemitboard&approve=1)** and **get one more award**!",
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      "title": "Starcash Nukeproof: A non-interactive zero-knowledge implementation of Bulletproofs on top of Starcash unforkable realtime blockchain federation for powering infinitely-scalable general-purpose secure MPC applications",
      "body": "We hereby describe Nukeproofs, an implementation of Bulletproofs[BP], a non-interactive zero-knowledge proof\nprotocol with very short proofs and without a trusted setup to enable secure multiparty-computation(MPC) on top of Starcash unforkable realtime blockchain of Orch Network. Besides enabling MPC it would secure p2p decentralized design, engineering, testing and distribution of non-clonable orchized software applications and components as well as an instantaneous reply-back search engine for distributed cyber-physical systems such as mobile and industrial cobots, IoT sensors & actuators, autonomous machines/platforms and tokenized hardware.\nWe call this efficient and fast zero-knowledge layer Nukeproofs. And non-clonable software applications and\ncomponents as nukeproof software apps and components.\n\n\nIntroduction\n\nOrch team busy implementing Starcash earlier made an attempt to incorporate ZKSTARK as its zero-knowledge layer without a trusted setup. But we were stuck with the size of proofs and computational inefficiency of ZKSTARK soon. Then few months ago Benedick Bunz et al released their work on efficient zero-knowledge proof systems Bulletproofs.\n\nAfter realizing it’ s the best replacement for ZKSTARK we have quickly decided to implement it for Starcash.\nThe efficiency of Bulletproofs is stunning in comparison to there ZK systems. A Bulletproof for knowing a 384-bit\nPedersen hash preimage is about 1 KB and takes 61 ms to verify. The marginal cost of verifying an additional proof is 2.1 ms. The SHA256 preimage proof is 1.4 KB and takes 750 ms to verify. The marginal cost of verifying additional\nproofs is 41.5 ms. The proving and verification time grow linearly. The batch verification first grows logarithmically and then linearly. For small circuits the logarithmic number of exponentiations dominate the cost while for larger\ncircuits the linear scalar operations do.\n\nTechnology\n\nAn important assumption is Proofs=Programs. This non-trivial result is the Curry-Howard isomorphism. But unlike\nTauchain, we can implement Turing-completeness in Nukeproofs due to bounded nature of NIZK proofs and presence of Star Power, a form of gas price similar to Ethereum Gas to pay for on-chain computing any complex smart contract or code or a program.Proof-Program equivalence aka Curry-Howard isomorphism is implemented in all functional programming languagese.g. Haskell. \n\n![photo_2019-01-21_17-08-53.jpg](https://cdn.steemitimages.com/DQmTJcUvmDGkVBaNYwMVsaxNGKvH3y67k689wohDmkYf21G/photo_2019-01-21_17-08-53.jpg)\n\nThen we extend it to computational Trinitarianism known as Curry-Howard-Lambek isomorphism by establishing one-to-one correspondence between proofs/programs with Category theory, modern foundation of mathematics(older was Set-theoretic). The software requirements specifications(SRS) of Orchized blockchain software and software components will be written in a Category theoretic Petrinets and its algebraic symmetry [SPN].\n\n![photo_2019-01-21_17-09-02.jpg](https://cdn.steemitimages.com/DQmVMYKVefUhx6NvHkFPghRWxav7cbW4VXyakYnuSCQTg6E/photo_2019-01-21_17-09-02.jpg)\n\nApplications\n\nHere is a practical use case of a group of freelance developers or a small software company Team09 teamed up to\ndeliver a software project prosted by a bonafide corporation Client Corp88 on Orch DevFac peer-to-peer software\ndesign, engineering and distribution platform.\n\nCorp88 posted the SRS of the software it wants to get delivered within a predetermined deadline in Nukeproofs\ncategory theoretic Pretrinets codenamed CatModels. And they have transferred USD550K toward the commitment\ndeposit to DevFac as per the Standard Contract Terms(SCT). Now Team09 bids for the contract and takes it up. They\ncommit to deliver the debugged software along with source code and runtime execution trace of its test runs within 100 days(deadline).\n\n![photo_2019-01-21_17-08-53.jpg](https://cdn.steemitimages.com/DQmTJcUvmDGkVBaNYwMVsaxNGKvH3y67k689wohDmkYf21G/photo_2019-01-21_17-08-53.jpg)\n\nNow on or before 100th day, Team09 safely and securely delivers the software, code and its runtime execution trace\nlogs and its test runs of Starcash Blockchain Virtual Machine(BVM). And Corp88 securely transferred funds via time-locked-deposit to Team09 without exposing themselves(either party) to any undue mutual counterparty risks of non-payments, bankruptcies, unfixed bugs, hidden malicious code and outright frauds.\n\nNukeproofs guarantees not only complete anonymity of all parties and confidentiality of all transactions,\nbut also that of all data, source code, binary/runtime code and voice/audio/video stored and processed on\nOrch Network and Orch-powered platforms, dapps/apps and software components. Nukeproofs in\nconjunction with BlakeB SHA512 will guarantee freedom to one and all.\n\nReferences\n\n[BP] Bulletproofs: Short Proofs for Confidential Transactions and More\nBenedikt Bunz,Jonathan Bootle, Dan Boneh, Andrew Poelstra, Pieter Wuille and Greg Maxwell\nStanford University\nUniversity College London\nBlockstream\n[SPN] About Tauchain, Ohad Asor\n[OYP] Orch Yellow Paper URL: https://orch.network/static/docs/starcash.pdf\n\n\n\nhttps://t.me/Orch_Network/124531",
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      "memo": "Hey there @orch, we just wanted to congratulate you on powering up some STEEM and celebrate your growth with you! Thank you for investing in STEEM and seizing this opportunity! If you are also interested in earning a lucrative revenue with your Steempower, then we've got something for you. We are offering multiple risk-free & effective ways to invest your Steempower. For more info, feel free to visit our website: https://smartsteem.com. Warm regards, Team Smartsteem"
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