importantSYS.SOURCE: crumbles.blog• 2026-09-18T16:15:52Z

Subtyping Challenges Between Mutable and Immutable Data Structures

#immutability #subtyping #type-theory

The article explains why mutable and immutable data structures cannot be subtypes of each other due to differences in their contractual guarantees, violating Liskov's Substitution Principle. It proposes type classes and ad hoc polymorphism as solutions to handle shared operations without subtyping.

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> CURATED VIDEO PLATFORM LEVERAGING HACKER NEWS RECOMMENDATIONS > NES CONTRA (1987) NATIVE PORT VIA WEBASSEMBLY > CRITICAL LINUX IPV4 TCP USE-AFTER-FREE VULNERABILITY CVE-2026-98432 WITH CVSS 9.8 SEVERITY > RESPONSIBLE DISCLOSURE OF CPU SIDE-CHANNEL VULNERABILITIES AND ETHICAL RESPONSIBILITIES IN COMPUTER SECURITY > GPT-5.6 SOL COMPLETES PEACEFUL FACTORIO RUN IN 13.5 HOURS > MEMORY LATENCY'S IMPACT ON CPU UTILIZATION IN DATABASE GROUP BY OPERATIONS > THE IMPACT OF GENERATIVE AI ON CRITICAL THINKING: A SELF-REPORTED STUDY (2025)> WILLIAM NORDHAUS, NOBEL LAUREATE IN ECONOMICS, DIES AT 85 AFTER PIONEERING CLIMATE-ECONOMY RESEARCH > CYBERSECURITY BREACH EXPLOITS LED DISPLAY SOFTWARE VULNERABILITY ACROSS MULTIPLE COUNTRIES > US COPYRIGHT OFFICE CLARIFIES AI-GENERATED CONTENT COPYRIGHT ELIGIBILITY> CURATED VIDEO PLATFORM LEVERAGING HACKER NEWS RECOMMENDATIONS > NES CONTRA (1987) NATIVE PORT VIA WEBASSEMBLY > CRITICAL LINUX IPV4 TCP USE-AFTER-FREE VULNERABILITY CVE-2026-98432 WITH CVSS 9.8 SEVERITY > RESPONSIBLE DISCLOSURE OF CPU SIDE-CHANNEL VULNERABILITIES AND ETHICAL RESPONSIBILITIES IN COMPUTER SECURITY > GPT-5.6 SOL COMPLETES PEACEFUL FACTORIO RUN IN 13.5 HOURS > MEMORY LATENCY'S IMPACT ON CPU UTILIZATION IN DATABASE GROUP BY OPERATIONS > THE IMPACT OF GENERATIVE AI ON CRITICAL THINKING: A SELF-REPORTED STUDY (2025)> WILLIAM NORDHAUS, NOBEL LAUREATE IN ECONOMICS, DIES AT 85 AFTER PIONEERING CLIMATE-ECONOMY RESEARCH > CYBERSECURITY BREACH EXPLOITS LED DISPLAY SOFTWARE VULNERABILITY ACROSS MULTIPLE COUNTRIES > US COPYRIGHT OFFICE CLARIFIES AI-GENERATED CONTENT COPYRIGHT ELIGIBILITY