Search Results for author: Christoph Benzmüller

Found 33 papers, 8 papers with code

Check News in One Click: NLP-Empowered Pro-Kremlin Propaganda Detection

no code implementations28 Jan 2024 Veronika Solopova, Viktoriia Herman, Christoph Benzmüller, Tim Landgraf

Many European citizens become targets of the Kremlin propaganda campaigns, aiming to minimise public support for Ukraine, foster a climate of mistrust and disunity, and shape elections (Meister, 2022).

Propaganda detection

Normative Conditional Reasoning as a Fragment of HOL

no code implementations21 Aug 2023 Xavier Parent, Christoph Benzmüller

We report on the mechanization of (preference-based) conditional normative reasoning.

Ethics Persuasiveness +1

Theorem Proving in Dependently-Typed Higher-Order Logic -- Extended Preprint

1 code implementation24 May 2023 Colin Rothgang, Florian Rabe, Christoph Benzmüller

Higher-order logic HOL offers a very simple syntax and semantics for representing and reasoning about typed data structures.

Automated Theorem Proving Translation

Automated multilingual detection of Pro-Kremlin propaganda in newspapers and Telegram posts

1 code implementation25 Jan 2023 Veronika Solopova, Oana-Iuliana Popescu, Christoph Benzmüller, Tim Landgraf

The full-scale conflict between the Russian Federation and Ukraine generated an unprecedented amount of news articles and social media data reflecting opposing ideologies and narratives.

Misinformation

Solving QMLTP Problems by Translation to Higher-order Logic

1 code implementation19 Dec 2022 Alexander Steen, Geoff Sutcliffe, Tobias Scholl, Christoph Benzmüller

The findings are that the embedding process is reliable and successful, the choice of backend ATP system can significantly impact the performance of the embedding approach, native modal logic ATP systems outperform the embedding approach, and the embedding approach can cope with a wider range modal logics than the native modal systems considered.

Automated Theorem Proving Translation

Automated Reasoning in Non-classical Logics in the TPTP World

no code implementations20 Feb 2022 Alexander Steen, David Fuenmayor, Tobias Gleißner, Geoff Sutcliffe, Christoph Benzmüller

Non-classical logics are used in a wide spectrum of disciplines, including artificial intelligence, computer science, mathematics, and philosophy.

Automated Theorem Proving Philosophy

Automating Public Announcement Logic with Relativized Common Knowledge as a Fragment of HOL in LogiKEy

1 code implementation2 Nov 2021 Christoph Benzmüller, Sebastian Reiche

A shallow semantical embedding for public announcement logic with relativized common knowledge is presented.

Public Announcement Logic in HOL

no code implementations2 Oct 2020 Sebastian Reiche, Christoph Benzmüller

A shallow semantical embedding for public announcement logic with relativized common knowledge is presented.

Reasonable Machines: A Research Manifesto

no code implementations14 Aug 2020 Christoph Benzmüller, Bertram Lomfeld

Future intelligent autonomous systems (IAS) are inevitably deciding on moral and legal questions, e. g. in self-driving cars, health care or human-machine collaboration.

Computers and Society 68T01 03Bxx 68T27 I.2.0; I.2.3; I.2.4

Higher-order Logic as Lingua Franca -- Integrating Argumentative Discourse and Deep Logical Analysis

no code implementations2 Jul 2020 David Fuenmayor, Christoph Benzmüller

We present an approach towards the deep, pluralistic logical analysis of argumentative discourse that benefits from the application of state-of-the-art automated reasoning technology for classical higher-order logic.

Modelling Value-oriented Legal Reasoning in LogiKEy

no code implementations23 Jun 2020 Christoph Benzmüller, David Fuenmayor, Bertram Lomfeld

The logico-pluralist LogiKEy knowledge engineering methodology and framework is applied to the modelling of a theory of legal balancing in which legal knowledge (cases and laws) is encoded by utilising context-dependent value preferences.

Automated Theorem Proving Legal Reasoning

On Reductions of Hintikka Sets for Higher-Order Logic

no code implementations16 Apr 2020 Alexander Steen, Christoph Benzmüller

Steen's (2018) Hintikka set properties for Church's type theory based on primitive equality are reduced to the Hintikka set properties of Brown (2007).

A (Simplified) Supreme Being Necessarily Exists, says the Computer: Computationally Explored Variants of Gödel's Ontological Argument

no code implementations14 Jan 2020 Christoph Benzmüller

An approach to universal (meta-)logical reasoning in classical higher-order logic is employed to explore and study simplifications of Kurt G\"odel's modal ontological argument.

Logical Reasoning

Computer-supported Exploration of a Categorical Axiomatization of Modeloids

no code implementations27 Oct 2019 Lucca Tiemens, Dana S. Scott, Christoph Benzmüller, Miroslav Benda

A modeloid, a certain set of partial bijections, emerges from the idea to abstract from a structure to the set of its partial automorphisms.

Logic in Computer Science Algebraic Topology Category Theory 68T15, 03B35, 03B80, 03B15, 08A05, 03C10, 03C68, 03C75, 20B05, 54H20 F.4; I.2.3

Computer-supported Analysis of Positive Properties, Ultrafilters and Modal Collapse in Variants of Gödel's Ontological Argument

no code implementations20 Oct 2019 Christoph Benzmüller, David Fuenmayor

Three variants of Kurt G\"odel's ontological argument, proposed by Dana Scott, C. Anthony Anderson and Melvin Fitting, are encoded and rigorously assessed on the computer.

Extensional Higher-Order Paramodulation in Leo-III

2 code implementations26 Jul 2019 Alexander Steen, Christoph Benzmüller

Leo-III is an automated theorem prover for extensional type theory with Henkin semantics and choice.

A Computational-Hermeneutic Approach for Conceptual Explicitation

no code implementations15 Jun 2019 David Fuenmayor, Christoph Benzmüller

At the next layer we select among those correct formalizations the ones which honor the argument's dialectic role, i. e. attacking or supporting other arguments as intended.

Computer Science and Metaphysics: A Cross-Fertilization

no code implementations1 May 2019 Daniel Kirchner, Christoph Benzmüller, Edward N. Zalta

Computational philosophy is the use of mechanized computational techniques to unearth philosophical insights that are either difficult or impossible to find using traditional philosophical methods.

Philosophy

Designing Normative Theories for Ethical and Legal Reasoning: LogiKEy Framework, Methodology, and Tool Support

1 code implementation25 Mar 2019 Christoph Benzmüller, Xavier Parent, Leendert van der Torre

A framework and methodology---termed LogiKEy---for the design and engineering of ethical reasoners, normative theories and deontic logics is presented.

Legal Reasoning

I/O Logic in HOL --- First Steps

no code implementations26 Mar 2018 Christoph Benzmüller, Xavier Parent

A semantical embedding of input/output logic in classical higher-order logic is presented.

Faithful Semantical Embedding of a Dyadic Deontic Logic in HOL

1 code implementation23 Feb 2018 Christoph Benzmüller, Ali Farjami, Xavier Parent

A shallow semantical embedding of a dyadic deontic logic by Carmo and Jones in classical higher-order logic is presented.

The Higher-Order Prover Leo-III (Extended Version)

no code implementations8 Feb 2018 Alexander Steen, Christoph Benzmüller

The automated theorem prover Leo-III for classical higher-order logic with Henkin semantics and choice is presented.

Universal Reasoning, Rational Argumentation and Human-Machine Interaction

no code implementations28 Mar 2017 Christoph Benzmüller

Classical higher-order logic, when utilized as a meta-logic in which various other (classical and non-classical) logics can be shallowly embedded, is well suited for realising a universal logic reasoning approach.

Axiomatizing Category Theory in Free Logic

no code implementations6 Sep 2016 Christoph Benzmüller, Dana S. Scott

Starting from a generalization of the standard axioms for a monoid we present a stepwise development of various, mutually equivalent foundational axiom systems for category theory.

Systematic Verification of the Modal Logic Cube in Isabelle/HOL

no code implementations31 Jul 2015 Christoph Benzmüller, Maximilian Claus, Nik Sultana

We present an automated verification of the well-known modal logic cube in Isabelle/HOL, in which we prove the inclusion relations between the cube's logics using automated reasoning tools.

LeoPARD --- A Generic Platform for the Implementation of Higher-Order Reasoners

no code implementations7 May 2015 Max Wisniewski, Alexander Steen, Christoph Benzmüller

LeoPARD supports the implementation of knowledge representation and reasoning tools for higher-order logic(s).

Formalization, Mechanization and Automation of Gödel's Proof of God's Existence

no code implementations21 Aug 2013 Christoph Benzmüller, Bruno Woltzenlogel Paleo

Automatic verification of the consistency of the axioms and definitions with Nitpick.

Update report: LEO-II version 1.5

no code implementations15 Mar 2013 Christoph Benzmüller, Nik Sultana

Recent improvements of the LEO-II theorem prover are presented.

Scheduling

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