Some conditions implying if P=NP then P=PSPACE

TL;DR

This paper explores specific conditions under which the equality of P and NP would imply that P equals PSPACE, shedding light on the relationships between these complexity classes.

Contribution

It introduces conditions that, if combined with P=NP, would lead to P=PSPACE, providing new insights into complexity class implications.

Findings

Identifies conditions linking P=NP to P=PSPACE

Provides theoretical implications for complexity class relationships

Enhances understanding of P, NP, and PSPACE connections

Abstract

We identify a few conditions $X$ such that $(P=NP \wedge X) \;\Rightarrow\; P=PSPACE$.