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This work provides proof-search algorithms and automated counter-model extraction for a class of STIT logics. With this, we answer an open problem concerning syntactic decision procedures and cut-free calculi for STIT logics. A new class of…

Logic in Computer Science · Computer Science 2020-02-18 Tim Lyon , Kees van Berkel

STIT logic is a prominent framework for the analysis of multi-agent choice-making. In the available deontic extensions of STIT, the principle of Ought-implies-Can (OiC) fulfills a central role. However, in the philosophical literature a…

Logic in Computer Science · Computer Science 2026-04-02 Kees van Berkel , Tim S. Lyon

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

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

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

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

Artificial Intelligence · Computer Science 2018-09-17 Ulrich Furbach , Claudia Schon , Frieder Stolzenburg

When designing agents for operation in uncertain environments, designers need tools to automatically reason about what agents ought to do, how that conflicts with what is actually happening, and how a policy might be modified to remove the…

Artificial Intelligence · Computer Science 2024-08-02 Colin Shea-Blymyer , Houssam Abbas

In our previous research, we provided a reasoning system (called LeSAC) based on argumentation theory to provide legal support to designers during the design process. Building on this, this paper explores how to provide designers with…

Artificial Intelligence · Computer Science 2024-09-19 Zhe Yu , Yiwei Lu

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

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

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

A question we can ask of multi-agent systems is whether the agents' collective interaction satisfies particular goals or specifications, which can be either individual or collective. When a collaborative goal is not reached, or a…

Logic in Computer Science · Computer Science 2023-09-27 Karam Kharraz , Shaun Azzopardi , Gerardo Schneider , Martin Leucker

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

When deciding how to act, we must consider other agents' norms and values. However, our norms are ever-evolving. We often add exceptions or change our minds, and thus norms can conflict over time. Therefore, to maintain an accurate mental…

Artificial Intelligence · Computer Science 2024-07-09 Taylor Olson , Roberto Salas-Damian , Kenneth D. Forbus

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

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

The search for information on the web is faced with several problems, which arise on the one hand from the vast number of available sources, and on the other hand from their heterogeneity. A promising approach is the use of multi-agent…

Multiagent Systems · Computer Science 2007-05-23 T. Eiter , M. Fink , G. Sabbatini , H. Tompits

The automated proof search system and decidability for logic of correlated knowledge is presented in this paper. The core of the proof system is the sequent calculus with the properties of soundness, completeness, admissibility of cut and…

Logic in Computer Science · Computer Science 2019-02-26 Haroldas Giedra , Romas Alonderis

Proof search has been used to specify a wide range of computation systems. In order to build a framework for reasoning about such specifications, we make use of a sequent calculus involving induction and co-induction. These proof principles…

Logic in Computer Science · Computer Science 2010-10-01 Alwen Tiu , Alberto Momigliano

Standpoint logic is a recently proposed formalism in the context of knowledge integration, which advocates a multi-perspective approach permitting reasoning with a selection of diverse and possibly conflicting standpoints rather than…

Logic in Computer Science · Computer Science 2022-05-06 Tim S. Lyon , Lucía Gómez Álvarez
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