Alternating-time temporal logic with resource bounds

Many problems in AI and multi-agent systems research are most naturally formulated in terms of the abilities of a coalition of agents. There exist several excellent logical tools for reasoning about coalitional ability. However, coalitional ability can be affected by the availability of resources, a...

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Main Authors: Nguyen, Hoang Nga, Alechina, Natasha, Logan, Brian, Rakib, Abdur
Format: Article
Published: Oxford University Press 2015
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Online Access:https://eprints.nottingham.ac.uk/28943/
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author Nguyen, Hoang Nga
Alechina, Natasha
Logan, Brian
Rakib, Abdur
author_facet Nguyen, Hoang Nga
Alechina, Natasha
Logan, Brian
Rakib, Abdur
author_sort Nguyen, Hoang Nga
building Nottingham Research Data Repository
collection Online Access
description Many problems in AI and multi-agent systems research are most naturally formulated in terms of the abilities of a coalition of agents. There exist several excellent logical tools for reasoning about coalitional ability. However, coalitional ability can be affected by the availability of resources, and there is no straightforward way of reasoning about resource requirements in logics such as Coalition Logic (CL) and Alternating-time Temporal Logic (ATL). In this paper, we describe a logic for reasoning about coalitional ability under resource constraints. We extend ATL with costs of actions and hence of strategies. We give a complete and sound axiomatisation of the resulting logic, Resource-Bounded ATL (RB-ATL), and a model-checking algorithm for it.
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spelling nottingham-289432020-05-04T17:10:47Z https://eprints.nottingham.ac.uk/28943/ Alternating-time temporal logic with resource bounds Nguyen, Hoang Nga Alechina, Natasha Logan, Brian Rakib, Abdur Many problems in AI and multi-agent systems research are most naturally formulated in terms of the abilities of a coalition of agents. There exist several excellent logical tools for reasoning about coalitional ability. However, coalitional ability can be affected by the availability of resources, and there is no straightforward way of reasoning about resource requirements in logics such as Coalition Logic (CL) and Alternating-time Temporal Logic (ATL). In this paper, we describe a logic for reasoning about coalitional ability under resource constraints. We extend ATL with costs of actions and hence of strategies. We give a complete and sound axiomatisation of the resulting logic, Resource-Bounded ATL (RB-ATL), and a model-checking algorithm for it. Oxford University Press 2015-06-13 Article PeerReviewed Nguyen, Hoang Nga, Alechina, Natasha, Logan, Brian and Rakib, Abdur (2015) Alternating-time temporal logic with resource bounds. Journal of Logic and Computation . pp. 1-33. ISSN 0955-792X Strategic Ability Resources Axiomatisation of RB-ATL http://logcom.oxfordjournals.org/content/early/2015/06/12/logcom.exv034 doi:10.1093/logcom/exv034 doi:10.1093/logcom/exv034
spellingShingle Strategic Ability
Resources
Axiomatisation of RB-ATL
Nguyen, Hoang Nga
Alechina, Natasha
Logan, Brian
Rakib, Abdur
Alternating-time temporal logic with resource bounds
title Alternating-time temporal logic with resource bounds
title_full Alternating-time temporal logic with resource bounds
title_fullStr Alternating-time temporal logic with resource bounds
title_full_unstemmed Alternating-time temporal logic with resource bounds
title_short Alternating-time temporal logic with resource bounds
title_sort alternating-time temporal logic with resource bounds
topic Strategic Ability
Resources
Axiomatisation of RB-ATL
url https://eprints.nottingham.ac.uk/28943/
https://eprints.nottingham.ac.uk/28943/
https://eprints.nottingham.ac.uk/28943/