---
title: "First-Order Coalition Logic"
authors:
  - "Davide Catta"
  - "Rustam Galimullin"
  - "Aniello Murano"
doi: "10.24963/ijcai.2025/491"
url: "https://ijcai.org/proceedings/2025/491"
pdf: "https://ijcai.org/proceedings/2025/0491.pdf"
venue: "Proceedings of the Thirty-Fourth International Joint Conference on Artificial Intelligence"
year: 2025
pages: "4410-4418"
track: "Main Track"
keywords:
  - "Knowledge Representation and Reasoning: KRR: Reasoning about actions"
  - "Agent-based and Multi-agent Systems: MAS: Formal verification, validation and synthesis"
  - "Knowledge Representation and Reasoning: KRR: Qualitative, geometric, spatial, and temporal reasoning"
---

# First-Order Coalition Logic

Davide Catta, Rustam Galimullin, Aniello Murano

*Proceedings of the Thirty-Fourth International Joint Conference on Artificial Intelligence*, pages 4410-4418. DOI: [10.24963/ijcai.2025/491](https://doi.org/10.24963/ijcai.2025/491)

## Abstract

We introduce First-Order Coalition Logic (FOCL), which combines key intuitions behind Coalition Logic (CL) and Strategy Logic (SL). Specifically, FOCL allows for arbitrary quantification over actions of agents. FOCL is interesting for several reasons. First, we show that FOCL is strictly more expressive than existing coalition logics. Second, we provide a sound and complete axiomatisation of FOCL, which, to the best of our knowledge, is the first axiomatisation of any variant of SL in the literature. Finally, while discussing the satisfiability problem for FOCL, we reopen the question of the recursive axiomatisability of SL.