  Large language models (LLMs) with memory are computationally universal.
However, mainstream LLMs are not taking full advantage of memory, and the
designs are heavily influenced by biological brains. Due to their approximate
nature and proneness to the accumulation of errors, conventional neural memory
mechanisms cannot support LLMs to simulate complex reasoning. In this paper, we
seek inspiration from modern computer architectures to augment LLMs with
symbolic memory for complex multi-hop reasoning. Such a symbolic memory
framework is instantiated as an LLM and a set of SQL databases, where the LLM
generates SQL instructions to manipulate the SQL databases. We validate the
effectiveness of the proposed memory framework on a synthetic dataset requiring
complex reasoning. The project website is available at
https://chatdatabase.github.io/ .
