# Deductive Reasoning

This work adapts the board game Clue into a text-based multi-agent environment with six LLM players (three each from GPT-4o-mini and Gemini-2.5-Flash) across 18 games and introduces an external possibility-matrix tool (YES/NO/MAYBE cells plus an accusation_ready signal) that externalizes belief-state tracking, yielding near-perfect accusation accuracy for tool-augmented agents (Gemini-2.5-Flash 1.00, GPT-4o-mini 0.96), raising non-tool agents in mixed games from about 0.81/3 to about 2.71/3, while leaving agents' autonomy over accusation timing unchanged.

This work adapts the board game Clue into a text-based multi-agent environment with six LLM players (three each from GPT-4o-mini and Gemini-2.5-Flash) across 18 games and introduces an external possibility-matrix tool (YES/NO/MAYBE cells plus an accusation_ready signal) that externalizes belief-state tracking, yielding near-perfect accusation accuracy for tool-augmented agents (Gemini-2.5-Flash 1.00, GPT-4o-mini 0.96), raising non-tool agents in mixed games from about 0.81/3 to about 2.71/3, while leaving agents' autonomy over accusation timing unchanged.