Responsibility Attribution in Parameterized Markovian Models

Authors: Christel Baier, Florian Funke, Rupak Majumdar11734-11743

AAAI 2021 | Conference PDF | Archive PDF | Plain Text | LLM Run Details

Reproducibility Variable Result LLM Response
Research Type Theoretical Our main technical result is an algorithm for deciding if a path-based attribution scheme for a rational (ratios of polynomials) cost function is over a rational threshold. In particular, it is decidable if the Aumann-Shapley value for a player is at least a given rational number. As a consequence, we show that responsibility attribution is decidable for parametric Markov chains and for a general class of properties that include expectation and variance of discounted sum and long-run average rewards, as well as specifications in temporal logic.
Researcher Affiliation Academia 1Technische Universit at Dresden, Dresden, Germany 2MPI-SWS, Kaiserslautern, Germany {christel.baier, florian.funke}@tu-dresden.de, rupak@mpi-sws.org
Pseudocode No The paper describes algorithms conceptually and refers to mathematical proofs, but does not include structured pseudocode or algorithm blocks.
Open Source Code No The paper does not provide concrete access to source code for the methodology described.
Open Datasets No The paper is theoretical and does not use or refer to publicly available datasets for training, validation, or testing.
Dataset Splits No The paper is theoretical and does not involve dataset splits for training, validation, or testing.
Hardware Specification No The paper does not provide specific hardware details used for running its theoretical computations or examples.
Software Dependencies No The paper does not provide specific ancillary software details with version numbers needed to replicate any computational aspects.
Experiment Setup No The paper is theoretical and does not describe an experimental setup with hyperparameters or training configurations.