AetherProof: Autonomous Formal Verification and Invariant Synthesis for Multi-Agent Software Ecosystems

AetherProof is a formal architecture for specification-driven proof construction, incremental differential proving, and counterexample-guided remediation in multi-agent software ecosystems. It is the verification layer of the Aether family, above AetherGit (storage) and AetherFlow (integration). The paper specifies three functional layers (TLA+, Why3/Lean, SMT-LIB/Z3), a Canonical Specification Representation (CSR) with three distinct identities (record, artifact, semantic), a Proof Dependency Graph (PDG), and a counterexample-guided remediation protocol. Keywords: AetherProof · Formal Verification · Multi-Agent Systems · Differential Verification · Invariant Synthesis · TLA+ · Why3 · Lean · SMT-LIB · Z3 · CSR Record · TCB Manifest · Semantic Relations · Compatibility Matrices · Requirement-driven Proof Trace · Specification Languages · Proof Obligations · Incremental Proving · Counterexample-Guided Remediation · Agentic Software Engineering. Status: Empirical Implementation (v2.0.0). Reference implementation built (40 tests, 79% coverage). 5 experiments completed. Experiments use simulated data; no real-world deployment has been evaluated. Propositions P1–P10 are design requirements, not formally proven theorems. Semantic consistency (Q2) remains an open question. DOI (Zenodo): 10.5281/zenodo.24013124 Record ID: AETHERPROOF-01 Version: 2.0.0 — November 2026 Author: Samir Baladi — ORCID 0009-0003-8903-0029 License: MIT (code) + CC-BY-4.0 (docs)