# Arbitrary Computational Integrity ⎊ Area ⎊ Greeks.live --- ## What is the Algorithm of Arbitrary Computational Integrity? Arbitrary Computational Integrity, within decentralized systems, represents the reliance on deterministic code execution as a foundational element for trustless operation, particularly relevant in environments like cryptocurrency and derivatives. This integrity isn’t predicated on a central authority but rather on the predictable and verifiable nature of the underlying computational processes, ensuring consistent outcomes regardless of the executing node. The robustness of these algorithms directly impacts the security and reliability of smart contracts and decentralized applications, influencing market stability and participant confidence. Consequently, vulnerabilities within the algorithm can introduce systemic risk, necessitating rigorous auditing and formal verification techniques. ## What is the Context of Arbitrary Computational Integrity? In financial derivatives and cryptocurrency markets, Arbitrary Computational Integrity is crucial for accurate pricing models, order execution, and settlement processes, especially with the increasing complexity of decentralized finance (DeFi) protocols. The absence of this integrity can lead to manipulation, front-running, or incorrect valuation of assets, undermining the fairness and efficiency of trading. Maintaining this integrity requires careful consideration of oracle reliability, data feeds, and the potential for external interference, all of which can compromise the deterministic nature of computations. Effective risk management strategies must account for the potential failures in computational integrity, incorporating safeguards against unforeseen consequences. ## What is the Consequence of Arbitrary Computational Integrity? A breach of Arbitrary Computational Integrity in these systems can result in substantial financial losses, erosion of market trust, and regulatory scrutiny, impacting the broader adoption of decentralized technologies. The immutability of blockchain records amplifies the impact of errors, making remediation challenging and potentially irreversible. Therefore, continuous monitoring, proactive security measures, and robust fallback mechanisms are essential to mitigate the risks associated with compromised computational integrity, safeguarding the stability and credibility of the ecosystem. --- ## [Succinct Validity Proofs](https://term.greeks.live/term/succinct-validity-proofs/) Meaning ⎊ Succinct validity proofs enable trustless, scalable financial settlement by cryptographically guaranteeing the correctness of complex state transitions. ⎊ Term ## [Computational Cost of ZK-Proofs](https://term.greeks.live/definition/computational-cost-of-zk-proofs/) The resources, time, and energy required to generate and verify complex zero-knowledge proofs for financial data. ⎊ Term ## [Computational Anonymity](https://term.greeks.live/definition/computational-anonymity/) Hiding identities or data through complex math that is too difficult or expensive to break with current computing power. ⎊ Term ## [Computational Complexity Thresholds](https://term.greeks.live/definition/computational-complexity-thresholds/) Defined limits on the logic complexity per transaction, ensuring predictable execution and preventing network resource exhaustion. ⎊ Term ## [Computational Cost of ZKPs](https://term.greeks.live/term/computational-cost-of-zkps/) Meaning ⎊ Computational Cost of ZKPs dictates the scalability and economic viability of private, high-frequency decentralized financial derivatives. ⎊ Term ## [Computational Finance](https://term.greeks.live/term/computational-finance/) Meaning ⎊ Computational Finance serves as the quantitative foundation for pricing risk and managing derivatives within the decentralized digital asset landscape. ⎊ Term ## [Arbitrary Code Execution Risks](https://term.greeks.live/definition/arbitrary-code-execution-risks/) Vulnerabilities allowing attackers to run unauthorized code within a contract's execution environment. ⎊ Term ## [Computational Cost of Privacy](https://term.greeks.live/definition/computational-cost-of-privacy/) The performance and economic penalty of implementing privacy-preserving features compared to transparent transactions. ⎊ Term ## [Arbitrary Precision Arithmetic](https://term.greeks.live/definition/arbitrary-precision-arithmetic/) Computational methods providing unlimited precision for calculations by dynamically allocating memory for numerical digits. ⎊ Term ## [Computational Resource Pricing](https://term.greeks.live/term/computational-resource-pricing/) Meaning ⎊ Computational Resource Pricing establishes the market-based valuation and distribution mechanism for decentralized processing power and storage capacity. ⎊ Term ## [Computational Cost Optimization Techniques](https://term.greeks.live/term/computational-cost-optimization-techniques/) Meaning ⎊ Computational cost optimization enables the efficient execution of complex derivative logic by minimizing on-chain resource consumption. ⎊ Term ## [Computational Cost Optimization Implementation](https://term.greeks.live/term/computational-cost-optimization-implementation/) Meaning ⎊ Computational Cost Optimization Implementation reduces resource expenditure to ensure the scalability and economic viability of decentralized derivatives. ⎊ Term ## [Computational Offloading](https://term.greeks.live/definition/computational-offloading/) Moving demanding tasks from the main CPU to specialized hardware to improve overall system responsiveness and speed. ⎊ Term ## [Order Book Computational Drag](https://term.greeks.live/term/order-book-computational-drag/) Meaning ⎊ Order Book Computational Drag represents the performance friction that causes execution delays and liquidity staleness in decentralized derivative markets. ⎊ Term ## [Computational Proof Overhead](https://term.greeks.live/definition/computational-proof-overhead/) Excessive computational resources needed to generate and verify proofs beyond standard transaction processing costs. ⎊ Term ## [Computational Finance Algorithms](https://term.greeks.live/definition/computational-finance-algorithms/) The software logic and numerical methods used to execute financial models, pricing, and risk management in real time. ⎊ Term ## [Computational Complexity Reduction](https://term.greeks.live/definition/computational-complexity-reduction/) The optimization of smart contract logic and data structures to minimize the processing resources required for execution. ⎊ Term ## [Computational Resource Allocation](https://term.greeks.live/term/computational-resource-allocation/) Meaning ⎊ Computational Resource Allocation governs the velocity and economic feasibility of decentralized derivative settlement by managing finite compute capacity. ⎊ Term ## [Computational Difficulty](https://term.greeks.live/definition/computational-difficulty/) A dynamic metric in proof-of-work that maintains steady block production by adjusting the effort required for mining. ⎊ Term ## [Computational Complexity Analysis](https://term.greeks.live/definition/computational-complexity-analysis/) Evaluating the resource requirements of algorithms to ensure they scale efficiently within the blockchain gas limits. ⎊ Term ## [Computational Complexity Cost](https://term.greeks.live/term/computational-complexity-cost/) Meaning ⎊ Computational Complexity Cost defines the financial resource burden of executing derivative logic within the constraints of decentralized ledgers. ⎊ Term ## [Computational Security](https://term.greeks.live/definition/computational-security/) Security based on the practical difficulty of solving hard mathematical problems. ⎊ Term ## [Arbitrary Code Execution](https://term.greeks.live/definition/arbitrary-code-execution/) Vulnerability allowing attackers to execute unauthorized logic by controlling the target of external contract calls. ⎊ Term ## [Computational Overhead Challenges](https://term.greeks.live/definition/computational-overhead-challenges/) The high resource demands of advanced cryptography that can cause latency and limit network throughput. ⎊ Term ## [Computational Complexity in Pricing](https://term.greeks.live/definition/computational-complexity-in-pricing/) The measure of time and resources needed to calculate the price of a derivative, impacting real-time trading capability. ⎊ Term ## [Computational Efficiency Trade-Offs](https://term.greeks.live/term/computational-efficiency-trade-offs/) Meaning ⎊ Computational efficiency defines the limit of decentralized derivatives, balancing cryptographic security against the speed required for market liquidity. ⎊ Term ## [Real-Time Computational Engines](https://term.greeks.live/term/real-time-computational-engines/) Meaning ⎊ Real-time computational engines provide the autonomous, mathematical foundation for managing risk and settlement in decentralized derivative markets. ⎊ Term ## [Computational Overhead Trade-Off](https://term.greeks.live/term/computational-overhead-trade-off/) Meaning ⎊ Computational Overhead Trade-Off dictates the economic balance between decentralized security and the performance demands of derivative trading systems. ⎊ Term ## [Computational Latency Trade-off](https://term.greeks.live/term/computational-latency-trade-off/) Meaning ⎊ Computational latency defines the critical boundary between decentralized derivative stability and systemic risk during periods of high volatility. ⎊ Term ## [Prover Computational Overhead](https://term.greeks.live/definition/prover-computational-overhead/) The intensive computational resources required to generate cryptographic proofs, creating potential barriers to entry. ⎊ Term --- ## Raw Schema Data ```json { "@context": "https://schema.org", "@type": "BreadcrumbList", "itemListElement": [ { "@type": "ListItem", "position": 1, "name": "Home", "item": "https://term.greeks.live/" }, { "@type": "ListItem", "position": 2, "name": "Area", "item": "https://term.greeks.live/area/" }, { "@type": "ListItem", "position": 3, "name": "Arbitrary Computational Integrity", "item": "https://term.greeks.live/area/arbitrary-computational-integrity/" } ] } ``` ```json { "@context": "https://schema.org", "@type": "FAQPage", "mainEntity": [ { "@type": "Question", "name": "What is the Algorithm of Arbitrary Computational Integrity?", "acceptedAnswer": { "@type": "Answer", "text": "Arbitrary Computational Integrity, within decentralized systems, represents the reliance on deterministic code execution as a foundational element for trustless operation, particularly relevant in environments like cryptocurrency and derivatives. 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The absence of this integrity can lead to manipulation, front-running, or incorrect valuation of assets, undermining the fairness and efficiency of trading. Maintaining this integrity requires careful consideration of oracle reliability, data feeds, and the potential for external interference, all of which can compromise the deterministic nature of computations. Effective risk management strategies must account for the potential failures in computational integrity, incorporating safeguards against unforeseen consequences." } }, { "@type": "Question", "name": "What is the Consequence of Arbitrary Computational Integrity?", "acceptedAnswer": { "@type": "Answer", "text": "A breach of Arbitrary Computational Integrity in these systems can result in substantial financial losses, erosion of market trust, and regulatory scrutiny, impacting the broader adoption of decentralized technologies. 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The outer segments of the structure glow faintly in response to the central light source, creating a sense of dynamic energy within a decentralized finance ecosystem." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/computational-complexity-reduction/", "url": "https://term.greeks.live/definition/computational-complexity-reduction/", "headline": "Computational Complexity Reduction", "description": "The optimization of smart contract logic and data structures to minimize the processing resources required for execution. ⎊ Term", "datePublished": "2026-03-23T16:49:36+00:00", "dateModified": "2026-03-23T16:50:59+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/abstract-visualization-of-layered-protocol-architecture-and-smart-contract-complexity-in-decentralized-finance-ecosystems.jpg", "width": 3850, "height": 2166, "caption": "A digitally rendered, abstract visualization shows a transparent cube with an intricate, multi-layered, concentric structure at its core. The internal mechanism features a bright green center, surrounded by rings of various colors and textures, suggesting depth and complex internal workings." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/computational-resource-allocation/", "url": "https://term.greeks.live/term/computational-resource-allocation/", "headline": "Computational Resource Allocation", "description": "Meaning ⎊ Computational Resource Allocation governs the velocity and economic feasibility of decentralized derivative settlement by managing finite compute capacity. ⎊ Term", "datePublished": "2026-03-22T12:08:52+00:00", "dateModified": "2026-03-22T12:09:45+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/risk-stratification-and-collateral-requirements-in-layered-decentralized-finance-options-trading-protocol-architecture.jpg", "width": 3850, "height": 2166, "caption": "A high-angle view captures nested concentric rings emerging from a recessed square depression. The rings are composed of distinct colors, including bright green, dark navy blue, beige, and deep blue, creating a sense of layered depth." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/computational-difficulty/", "url": "https://term.greeks.live/definition/computational-difficulty/", "headline": "Computational Difficulty", "description": "A dynamic metric in proof-of-work that maintains steady block production by adjusting the effort required for mining. ⎊ Term", "datePublished": "2026-03-21T17:12:54+00:00", "dateModified": "2026-03-21T17:13:42+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/multi-asset-consolidation-engine-for-high-frequency-arbitrage-and-collateralized-bundles.jpg", "width": 3850, "height": 2166, "caption": "A technological component features numerous dark rods protruding from a cylindrical base, highlighted by a glowing green band. Wisps of smoke rise from the ends of the rods, signifying intense activity or high energy output." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/computational-complexity-analysis/", "url": "https://term.greeks.live/definition/computational-complexity-analysis/", "headline": "Computational Complexity Analysis", "description": "Evaluating the resource requirements of algorithms to ensure they scale efficiently within the blockchain gas limits. ⎊ Term", "datePublished": "2026-03-21T09:29:40+00:00", "dateModified": "2026-04-01T18:21:44+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/high-precision-financial-engineering-mechanism-for-collateralized-derivatives-and-automated-market-maker-protocols.jpg", "width": 3850, "height": 2166, "caption": "A high-tech mechanical component features a curved white and dark blue structure, highlighting a glowing green and layered inner wheel mechanism. A bright blue light source is visible within a recessed section of the main arm, adding to the futuristic aesthetic." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/computational-complexity-cost/", "url": "https://term.greeks.live/term/computational-complexity-cost/", "headline": "Computational Complexity Cost", "description": "Meaning ⎊ Computational Complexity Cost defines the financial resource burden of executing derivative logic within the constraints of decentralized ledgers. ⎊ Term", "datePublished": "2026-03-21T02:11:55+00:00", "dateModified": "2026-03-21T02:12:31+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/intertwined-financial-derivatives-and-decentralized-liquidity-pools-representing-market-microstructure-complexity.jpg", "width": 3850, "height": 2166, "caption": "A close-up view reveals a dense knot of smooth, rounded shapes in shades of green, blue, and white, set against a dark, featureless background. The forms are entwined, suggesting a complex, interconnected system." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/computational-security/", "url": "https://term.greeks.live/definition/computational-security/", "headline": "Computational Security", "description": "Security based on the practical difficulty of solving hard mathematical problems. ⎊ Term", "datePublished": "2026-03-19T14:00:59+00:00", "dateModified": "2026-03-19T14:02:08+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/collateralized-defi-protocol-architecture-demonstrating-smart-contract-automated-market-maker-logic.jpg", "width": 3850, "height": 2166, "caption": "A high-tech, abstract rendering showcases a dark blue mechanical device with an exposed internal mechanism. A central metallic shaft connects to a main housing with a bright green-glowing circular element, supported by teal-colored structural components." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/arbitrary-code-execution/", "url": "https://term.greeks.live/definition/arbitrary-code-execution/", "headline": "Arbitrary Code Execution", "description": "Vulnerability allowing attackers to execute unauthorized logic by controlling the target of external contract calls. ⎊ Term", "datePublished": "2026-03-19T04:58:39+00:00", "dateModified": "2026-03-19T05:00:08+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/modular-architecture-of-a-decentralized-options-pricing-oracle-for-accurate-volatility-indexing.jpg", "width": 3850, "height": 2166, "caption": "A high-tech object is shown in a cross-sectional view, revealing its internal mechanism. The outer shell is a dark blue polygon, protecting an inner core composed of a teal cylindrical component, a bright green cog, and a metallic shaft." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/computational-overhead-challenges/", "url": "https://term.greeks.live/definition/computational-overhead-challenges/", "headline": "Computational Overhead Challenges", "description": "The high resource demands of advanced cryptography that can cause latency and limit network throughput. ⎊ Term", "datePublished": "2026-03-17T01:04:27+00:00", "dateModified": "2026-03-17T01:04:47+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/interoperability-architecture-illustrating-synthetic-asset-pricing-dynamics-and-derivatives-market-liquidity-flows.jpg", "width": 3850, "height": 2166, "caption": "A close-up view reveals a series of smooth, dark surfaces twisting in complex, undulating patterns. Bright green and cyan lines trace along the curves, highlighting the glossy finish and dynamic flow of the shapes." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/computational-complexity-in-pricing/", "url": "https://term.greeks.live/definition/computational-complexity-in-pricing/", "headline": "Computational Complexity in Pricing", "description": "The measure of time and resources needed to calculate the price of a derivative, impacting real-time trading capability. ⎊ Term", "datePublished": "2026-03-16T11:55:45+00:00", "dateModified": "2026-03-16T11:56:23+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/abstract-visualization-of-layered-protocol-architecture-and-smart-contract-complexity-in-decentralized-finance-ecosystems.jpg", "width": 3850, "height": 2166, "caption": "A digitally rendered, abstract visualization shows a transparent cube with an intricate, multi-layered, concentric structure at its core. The internal mechanism features a bright green center, surrounded by rings of various colors and textures, suggesting depth and complex internal workings." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/computational-efficiency-trade-offs/", "url": "https://term.greeks.live/term/computational-efficiency-trade-offs/", "headline": "Computational Efficiency Trade-Offs", "description": "Meaning ⎊ Computational efficiency defines the limit of decentralized derivatives, balancing cryptographic security against the speed required for market liquidity. ⎊ Term", "datePublished": "2026-03-14T21:10:36+00:00", "dateModified": "2026-03-14T21:12:00+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/algorithmic-arbitrage-engine-dynamic-hedging-strategy-implementation-crypto-options-market-efficiency-analysis.jpg", "width": 3850, "height": 2166, "caption": "A high-resolution render displays a stylized, futuristic object resembling a submersible or high-speed propulsion unit. The object features a metallic propeller at the front, a streamlined body in blue and white, and distinct green fins at the rear." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/real-time-computational-engines/", "url": "https://term.greeks.live/term/real-time-computational-engines/", "headline": "Real-Time Computational Engines", "description": "Meaning ⎊ Real-time computational engines provide the autonomous, mathematical foundation for managing risk and settlement in decentralized derivative markets. ⎊ Term", "datePublished": "2026-03-14T17:00:02+00:00", "dateModified": "2026-03-14T17:00:23+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/advanced-algorithmic-high-frequency-execution-protocol-for-decentralized-finance-liquidity-aggregation-and-risk-management.jpg", "width": 3850, "height": 2166, "caption": "A close-up view presents a futuristic device featuring a smooth, teal-colored casing with an exposed internal mechanism. The cylindrical core component, highlighted by green glowing accents, suggests active functionality and real-time data processing, while connection points with beige and blue rings are visible at the front." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/computational-overhead-trade-off/", "url": "https://term.greeks.live/term/computational-overhead-trade-off/", "headline": "Computational Overhead Trade-Off", "description": "Meaning ⎊ Computational Overhead Trade-Off dictates the economic balance between decentralized security and the performance demands of derivative trading systems. ⎊ Term", "datePublished": "2026-03-14T16:11:59+00:00", "dateModified": "2026-03-14T16:12:51+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/decentralized-finance-protocol-liquidity-provision-and-cross-chain-interoperability-in-synthetic-derivatives-markets.jpg", "width": 3850, "height": 2166, "caption": "A close-up view depicts three intertwined, smooth cylindrical forms—one dark blue, one off-white, and one vibrant green—against a dark background. The green form creates a prominent loop that links the dark blue and off-white forms together, highlighting a central point of interconnection." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/computational-latency-trade-off/", "url": "https://term.greeks.live/term/computational-latency-trade-off/", "headline": "Computational Latency Trade-off", "description": "Meaning ⎊ Computational latency defines the critical boundary between decentralized derivative stability and systemic risk during periods of high volatility. ⎊ Term", "datePublished": "2026-03-14T09:34:25+00:00", "dateModified": "2026-03-14T09:34:49+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/decentralized-finance-protocol-liquidity-provision-and-cross-chain-interoperability-in-synthetic-derivatives-markets.jpg", "width": 3850, "height": 2166, "caption": "A close-up view depicts three intertwined, smooth cylindrical forms—one dark blue, one off-white, and one vibrant green—against a dark background. The green form creates a prominent loop that links the dark blue and off-white forms together, highlighting a central point of interconnection." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/prover-computational-overhead/", "url": "https://term.greeks.live/definition/prover-computational-overhead/", "headline": "Prover Computational Overhead", "description": "The intensive computational resources required to generate cryptographic proofs, creating potential barriers to entry. ⎊ Term", "datePublished": "2026-03-12T22:17:46+00:00", "dateModified": "2026-03-12T22:19:10+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/complex-structured-product-mechanism-illustrating-on-chain-collateralization-and-smart-contract-based-financial-engineering.jpg", "width": 3850, "height": 2166, "caption": "A high-resolution abstract render displays a green, metallic cylinder connected to a blue, vented mechanism and a lighter blue tip, all partially enclosed within a fluid, dark blue shell against a dark background. The composition highlights the interaction between the colorful internal components and the protective outer structure." } } ], "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/risk-stratification-within-decentralized-finance-derivatives-and-intertwined-digital-asset-mechanisms.jpg" } } ``` --- **Original URL:** https://term.greeks.live/area/arbitrary-computational-integrity/