Logic Overview

This page is an index of light reference material for stuff at the intersection of model checking, agents, and exotic logics1. Content here isn't strictly focused on MCMAS or ISPL, but more aimed at introducing the concepts that they incorporate and build on.
If you're looking for more detailed technical information or papers, you can find some places to start in this index.

Quick Links
Feature-matrix and alternatives for MCMAS
ISPL Reference
Logical Operator Reference
Zooming in on doxastic logic
PY-MCMAS road map

Combined Logic Systems

Temporal-Epistemic Logic:
Reasoning about how knowledge evolves over time
Strategic-Epistemic Logic:
Analyzing what agents can achieve while reasoning about others' knowledge

Multi-Agent Systems:
All three logics combine to model complex interactive scenarios

Applications

  • Protocol Verification: Using CTL to verify system properties hold across all execution paths
  • Security Analysis: Epistemic logic for reasoning about what attackers know and can infer
  • Game Theory and Mechanism Design: ATL for analyzing strategic interactions and equilibria
  • Distributed Systems: All three logics for coordination problems, consensus protocols, and fault tolerance
  • AI Planning: Strategic operators for multi-agent planning and cooperation
  • Model Checking: Automated verification of temporal and epistemic properties in systems

These formal systems provide precise mathematical frameworks for reasoning about complex dynamic systems where time, knowledge, and strategic interaction all play crucial roles in domains ranging from computer science to economics and philosophy.

References

  1. Here, "exotic" means especially epistemic-logics for describing knowledge/belief, but also strategy-logic, which has applications in game theory and protocol design. See also this mathoverflow Q/A ↩