Yap10 L 19 «Secure»

: This established that the language corresponding to the digits of

Recent papers (as late as 2022–2023) continue to cite Yap10 when discussing: Yap10 L 19

lies within and, more specifically, within the Logspace Hierarchy . Key Technical Insights : This established that the language corresponding to

is transcendental, Yap's techniques are often reviewed alongside the complexity of , as both involve root-finding algorithms and high-precision arithmetic. Recent Scholarly Reception : Subsequent research building on Yap10 has shown

: Using Yap's logic to refine upper bounds in the Counting Hierarchy for fundamental problems in arithmetic circuits.

: Subsequent research building on Yap10 has shown that the first can be produced in TC0cap T cap C to the 0 power (a subclass of ) for any base Connection to Algebraic Numbers : While

: Yap demonstrated that there is a logspace-computable function that, given an input 1n1 to the n-th power , outputs the first