The Logic of Resources and Capabilities

The Logic of Resources and Capabilities

Bílková, Marta (Charles University)
Greco, G. (Universiteit Utrecht)
Palmigiano, A. (TU Delft Ethics & Philosophy of Technology; University of Johannesburg)
Tzimoulis, A. (TU Delft Ethics & Philosophy of Technology)
Wijnberg, Nachoem (Universiteit van Amsterdam; University of Johannesburg)

2018

We introduce the logic LRC, designed to describe and reason about agents’ abilities and capabilities in using resources. The proposed framework bridges two—up to now—mutually independent strands of literature: the one on logics of abilities and capabilities, developed within the theory of agency, and the one on logics of resources, motivated by program semantics. The logic LRC is suitable to describe and reason about key aspects of social behaviour in organizations. We prove a number of properties enjoyed by LRC (soundness, completeness, canonicity, and disjunction property) and its associated analytic calculus (conservativity, cut elimination, and subformula property). These results lay at the intersection of the algebraic theory of unified correspondence and the theory of multitype calculi in structural proof theory. Case studies are discussed which showcase several ways in which this framework can be extended and enriched while retaining its basic properties, so as to model an array of issues, both practically and theoretically relevant, spanning from planning problems to the logical foundations of the theory of organizations.

03A99
03B20
03B42
03B45
03B60
03F03
03G10

http://resolver.tudelft.nl/uuid:582c90fe-b076-49c7-9b17-b23eb63a2db3

https://doi.org/10.1017/S175502031700034X

2019-05-22

1755-0203

Review of Symbolic Logic, 1-40

Institutional Repository

journal article

© 2018 Marta Bílková, G. Greco, A. Palmigiano, A. Tzimoulis, Nachoem Wijnberg