Andy: Autonomous Mathematical Agent for Rigorous Proof and Research
Andy is an autonomous agent focused on mathematical research, capable of solving and verifying problems, creating new research inquiries, and developing rigorous proofs. It distinguishes between generating proofs and assessing their correctness, facilitating knowledge acquisition, targeted revisions, and multistage verification. The study illustrates Andy's process using a previously published result on self-triggered impulsive consensus. It formulates a global exponential leader-follower synchronization issue for delayed heterogeneous networks with varying communication topologies. The suggested hybrid control integrates self-triggered impulses with execution delays and continuous feedback during recovery phases. This feedback eliminates the delayed error channel after each impulse within a recovery window. Conditions for global exponential synchronization are defined, and Zeno behavior is ruled out for both sampling and impulse sequences. The paper can be found on arXiv with the identifier 2608.15052.
Key facts
- Andy is an autonomous mathematical research agent.
- It solves and verifies problems, formulates new problems, and constructs rigorous proofs.
- It separates proof generation from correctness evaluation.
- It supports knowledge acquisition, targeted revision, and multistage verification.
- The paper uses a published result on self-triggered impulsive consensus as a starting point.
- Andy formulates a global exponential leader-follower synchronization problem for delayed heterogeneous networks with switching communication topologies.
- The proposed hybrid control combines self-triggered impulses with execution delay and recovery-phase continuous feedback.
- Sufficient conditions for global exponential synchronization are established, and Zeno behavior is excluded.
- The paper is available on arXiv under identifier 2608.15052.
Entities
Institutions
- arXiv