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This paper provides a set of cut-free complete sequent-style calculi for deontic STIT ('See To It That') logics used to formally reason about choice-making, obligations, and norms in a multi-agent setting. We leverage these calculi to write…

Logic in Computer Science · Computer Science 2024-10-07 Tim S. Lyon , Kees van Berkel

The formalization of action and obligation using logic languages is a topic of increasing relevance in the field of ethics for AI. Having an expressive syntactic and semantic framework to reason about agents' decisions in moral situations…

Logic in Computer Science · Computer Science 2021-06-23 Aldo Iván Ramírez Abarca , Jan Broersen

We present a STIT ('see to it that') logic with discrete temporal operators and deontic operators in which we can formalize and reason about legal concepts such as persistent duty and the dynamic concept of power from Hohfeld. As our main…

Logic · Mathematics 2025-11-13 Shuge Rong , Yifeng Ding

STIT (sees to it that) semantics is one of the most prominent tools in modal logic of agency, widely used among both philosophers and responsible AI scholars. STIT logic surveys the properties of agents seeing to it that some state of…

Logic in Computer Science · Computer Science 2022-03-18 Daniil Khaitovich

In this work we answer a long standing request for temporal embeddings of deontic STIT logics by introducing the multi-agent STIT logic TDS. The logic is based upon atemporal utilitarian STIT logic. Yet, the logic presented here will be…

Logic in Computer Science · Computer Science 2019-11-19 Kees van Berkel , Tim Lyon

This paper presents a logic-based framework to analyze responsibility, which I refer to as intentional epistemic act-utilitarian stit theory (IEAUST). To be precise, IEAUST is used to model and syntactically characterize various modes of…

Logic in Computer Science · Computer Science 2023-07-12 Aldo Ivńn Ramírez Abarca

In response to a concern raised by Horty, this paper develops a two-tiered, preference-based semantic framework for modeling defeasible conditional obligations. The paper extends a Hansson-Lewis style preference semantics for dyadic deontic…

Logic in Computer Science · Computer Science 2026-05-01 Xavier Parent

Deontic logics are formalisms for reasoning over norms, obligations, permissions and prohibitions. Input/Output (I/O) Logics are a particular family of so-called norm-based deontic logics that formalize conditional norms outside of the…

Logic in Computer Science · Computer Science 2026-03-02 Alexander Steen

This paper develops a logic based on causal inferences to formally capture the concept of instrumental obligation. We establish a causal deontic model that extends causal models with priority structures, allowing us to represent both the…

Logic · Mathematics 2025-05-13 Jialiang Yan , Qingyu He

The relation between agentive action, knowledge, and obligation is central to the understanding of responsibility --a main topic in Artificial Intelligence. Based on the view that an appropriate formalization of said relation would…

Logic · Mathematics 2019-03-27 Aldo Iván Ramírez Abarca , Jan Broersen

The use of meta-rules in logic, i.e., rules whose content includes other rules, has recently gained attention in the setting of non-monotonic reasoning: a first logical formalisation and efficient algorithms to compute the (meta)-extensions…

Artificial Intelligence · Computer Science 2022-09-27 Francesco Olivieri , Guido Governatori , Matteo Cristani , Antonino Rotolo , Abdul Sattar

Deontic logic is a very well researched branch of mathematical logic and philosophy. Various kinds of deontic logics are considered for different application domains like argumentation theory, legal reasoning, and acts in multi-agent…

Artificial Intelligence · Computer Science 2015-02-23 Ulrich Furbach , Claudia Schon , Frieder Stolzenburg

Different notions of the consistency of obligations collapse in standard deontic logic. In justification logics, which feature explicit reasons for obligations, the situation is different. Their strength depends on a constant specification…

Logic in Computer Science · Computer Science 2023-10-09 Federico L. G. Faroldi , Meghdad Ghari , Eveline Lehmann , Thomas Studer

Starting with the deontic principles in M\={\i}m\=a\d{m}s\=a texts we introduce a new deontic logic. We use general proof-theoretic methods to obtain a cut-free sequent calculus for this logic, resulting in decidability, complexity results…

Logic in Computer Science · Computer Science 2017-05-10 Agata Ciabattoni , Elisa Freschi , Francesco A. Genco , Björn Lellmann

The primary theme of this investigation is a decision theoretic account of conditional ought statements (e.g., "You ought to do A, if C") that rectifies glaring deficiencies in classical deontic logic. The resulting account forms a sound…

Artificial Intelligence · Computer Science 2013-03-08 Judea Pearl

We combine linear temporal logic (with both past and future modalities) with a deontic version of justification logic to provide a framework for reasoning about time and epistemic and normative reasons. In addition to temporal modalities,…

Logic in Computer Science · Computer Science 2025-01-17 Meghdad Ghari

We introduce the Deontic Action Model Logic (DAML), a dynamic modal framework for reasoning about obligations over actions in multi-agent systems. DAML extends the epistemic Action Model Logic by incorporating deontic evaluation mechanisms…

Logic in Computer Science · Computer Science 2026-05-27 Giorgio Cignarale

Deontic logic is shown to be applicable for modelling human reasoning. For this the Wason selection task and the suppression task are discussed in detail. Different versions of modelling norms with deontic logic are introduced and in the…

Artificial Intelligence · Computer Science 2014-09-19 Ulrich Furbach , Claudia Schon

We present a completeness result for a logical system which combines stit logic and justification logic in order to represent proving activity of the agents. This logic is interpreted over the semantics introduced in earlier publications.…

Logic · Mathematics 2017-07-12 Grigory Olkhovikov

In the last decade, formal logics have been used to model a wide range of ethical theories and principles with the goal of using these models within autonomous systems. Logics for modeling ethical theories, and their automated reasoners,…

Artificial Intelligence · Computer Science 2020-01-01 Naveen Sundar Govindarajulu , Selmer Bringsjord , Matthew Peveler
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