An efficient software implementation (capable of scaling to billions of entries) would make a great doctoral thesis.

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• "We may never see hardware support for the primitive operators described here, but an efficient software implementation (capable of scaling to billions of entries) would make a great doctoral thesis."concept0.864
  Acknowledges practical barriers to realizing the framework while identifying the central implementation challenge: efficient scaling in software.
• A fast implementation of this primitive, possibly in hardware, could be the basis of efficient and compact implementations of a diverse range of programming language semantics and data structures.claim0.782
  Claim that hardware-supported associative lookup would enable high-performance dynamic language runtimes.
• Scale is sufficient but not necessarily efficient to reach high levels of intelligence; different methods can scale with different efficiency levelsclaim0.771
  Implication of PRH for 'scale is all you need' argument
• Proving that a program meets accomplishment specifications must be based on assumptions about the world, the information it makes available to the program and the effects of the program's actions as well as on facts about the program itself.claim0.757
  Claim about the nature of accomplishment verification.
• A multi-scale competency architecture facilitates evolution of robust problem-solving, living machines.claim0.748
  Key proposal linking multi-scale agency to evolutionary advantage.
• For a given task, the number of all sequences which work is tiny by comparison with the huge number of all possible sequences; less than a trillionth of all 6 × 10^23 possible sequences actually work well enough.claim0.748
  A combinatorial argument that good sequences are astronomically rare, emphasizing the difficulty of discovery.
• Developing a simple, precise denotational model of graphical user interfaces enables proving properties of programs and establishing objective comparisons of library abstraction levels.claim0.747
  Authors' core assertion that formal modeling of GUIs provides foundational benefits for language design and program verification.
• The multiscale competency architecture (MCA) speeds evolutionary search by providing generalization, reliability, tractable search space, cryptic variation, and functional intermediates.claim0.741
  Main functional claim about MCA.