"IP=PSPACE is bigger": CS theorists debate the biggest result ever

burny_tech · x · 2026-10-27

A user claimed that 3SAT not being solvable in sub-exponential time would be "the biggest theoretical CS result ever," prompting a reply that IP=PSPACE is "bigger."

Proved by Shamir in 1990, IP=PSPACE established that interactive proofs are as powerful as polynomial-space computation, laying groundwork for zero-knowledge proofs and verification complexity theory. The exchange reflects a fun debate in the complexity theory community over which result is the most profound.

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