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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Journal of Logic Lan...arrow_drop_down
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Journal of Logic Language and Information
Article . 1994 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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Article . 1994
Data sources: DBLP
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A dynamic logic of action

Authors: Brigitte Penther;

A dynamic logic of action

Abstract

The paper deals with various extensions of propositional dynamic logic (PDL) to logics for reasoning about action types. The basic extended formalism, DLA, incorporates names for states and time points. In the semantics, transition relations do not just relate states but rather pairs \(\langle s, t\rangle\), where \(s\) is a state and \(t\) is an instant. Moreover, the language of DLA contains an action program \(a\) representing all performances of atomic actions executable by the agent in the given context and an external influence program \(e\) representing the transitions which are beyond the influence of the agent. As an additional powerful technical device a universal program \(u\) is included representing the universal transition relation. DLA is then enlarged by further formula and action type forming operations. The three resulting extensions, \(\text{DLA}_ R\), \(\text{DLA}_ A\) and \(\text{DLA}_ P\), allow certain reasoning about the results of actions, abilities and parallel performances of actions, respectively. Each extension of DLA is carefully motivated by drawing on widely accepted conceptual analyses of action theorists, in particular G. H. von Wright. The paper is clearly written. The systems presented might at first sight appear to be rather complex, both syntactically and semantically. However, the suggested axiom schemata and inference rules as well as the semantical models seem intuitively plausible, and, moreover, the sketches of the completeness proofs follow a familiar pattern. When compared to pure PDL, DLA and its extensions provide a considerable increase of expressiveness, which, without doubt, will prove to be useful for a logical analysis of human action.

Related Organizations
Keywords

logics for reasoning about action types, Other nonclassical logic, Philosophical and critical aspects of logic and foundations, Modal logic (including the logic of norms), parallel performances, extensions of propositional dynamic logic

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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