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Logic and Geometry of Agents in Agent-Based Modeling

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Computational Complexity
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Article Outline

Glossary

Definition of the Subject

Introduction

Towards a Logic and Geometry of Interaction

Further Directions

Bibliography

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Abbreviations

Agent :

A computational or biological entity which can perform actions which affect its environment, and observe actions performed by the environment or other agents.

Agent‐based modeling:

Modeling a complex system in terms of multiple agents interacting with each other.

Interaction :

A pattern of actions in a multi‐agent system. Each action is performed by some agent, and may be observed by others.

Information flow :

The process whereby information held by one agent or part of a system is transferred to another, possibly in some modified form. Generally mediated by interaction: information flow is caused by agents performing actions, and other agents observing those actions.

Compositionality :

Describing a complex system or object in a structured fashion, as built up by applying certain operations hierarchically, starting from a stock of basic types of system. Compositional definitions of functions of systems are those which respect this hierarchical structure.

Linear logic :

A sub‐structural logic in which the operations of copying and deleting premises are not allowed in general.

Combinators:

Basic operations in a function algebra. Combinatory logic is a variable‐free formulation of functional computation.

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Abramsky, S. (2012). Logic and Geometry of Agents in Agent-Based Modeling. In: Meyers, R. (eds) Computational Complexity. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-1800-9_113

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