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P vs NP Claim Debunked: Springer Journal Publishes Flawed Paper

2025-08-06

A paper claiming to prove a result stronger than P≠NP was published in Springer Nature's Frontiers of Computer Science, sparking controversy. One of the authors is a deputy editor-in-chief of the journal. Computer scientists Ryan Williams and Eric Allender found serious flaws in the proof, even contradicting known algorithms. They submitted a comment requesting retraction, but the editor-in-chief refused, only agreeing to publish a revised version of their comment. This incident exposes severe problems in the journal's peer-review process, raising concerns about the journal's reputation. This is a Tech news story.

Gödel Prize Awarded for Breakthrough in Explicit Two-Source Extractors

2025-06-09

The 2025 Gödel Prize was awarded to Eshan Chattopadhyay and David Zuckerman for their groundbreaking paper, "Explicit two-source extractors and resilient functions," published in STOC 2016 and the Annals of Math 2019. This work significantly improves the construction of Ramsey graphs, achieving an exponential bound far exceeding previous methods. The result is lauded for its implications in derandomization and its surprising application to Ramsey theory, sparking debate about its dual significance in pseudorandomness and combinatorics.

Seismic Shift in Algorithm Simulation: Memory Breakthrough

2025-06-07

A groundbreaking result has shaken the foundations of algorithm simulation. Ryan Williams's new research demonstrates that all algorithms can be simulated using significantly less memory than their original runtime, a vast improvement over previous best-known results. This breakthrough leverages a space-efficient tree evaluation algorithm by Cook and Mertz, cleverly segmenting Turing machine computations and using finite field encoding to achieve a near-quadratic improvement in space complexity. While not preserving the time bound, this landmark result has profound implications for complexity theory and opens avenues for future research, such as further reducing space complexity bounds, potentially leading to the separation of P and PSPACE complexity classes.