no code implementations • ICON 2021 • Veronika Solopova, Oana-Iuliana Popescu, Margarita Chikobava, Ralf Romeike, Tim Landgraf, Christoph Benzmüller
Reflection about a learning process is beneficial to students in higher education (Bub-nys, 2019).
no code implementations • 28 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).
no code implementations • 21 Aug 2023 • Xavier Parent, Christoph Benzmüller
We report on the mechanization of (preference-based) conditional normative reasoning.
no code implementations • 10 Jul 2023 • Veronika Solopova, Adrian Gruszczynski, Eiad Rostom, Fritz Cremer, Sascha Witte, Chengming Zhang, Fernando Ramos López Lea Plößl, Florian Hofmann, Ralf Romeike, Michaela Gläser-Zikuda, Christoph Benzmüller, Tim Landgraf
Written reflective practice is a regular exercise pre-service teachers perform during their higher education.
1 code implementation • 24 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.
1 code implementation • 25 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.
1 code implementation • 19 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.
1 code implementation • 14 Aug 2022 • Christoph Benzmüller, David Fuenmayor, Alexander Steen, Geoff Sutcliffe
This paper reports on an exploration of Boolos' Curious Inference, using higher-order automated theorem provers (ATPs).
no code implementations • 20 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.
no code implementations • 13 Feb 2022 • Christoph Benzmüller
A simplified variant of G\"odel's ontological argument is presented.
1 code implementation • 2 Nov 2021 • Christoph Benzmüller, Sebastian Reiche
A shallow semantical embedding for public announcement logic with relativized common knowledge is presented.
no code implementations • 2 Oct 2020 • Sebastian Reiche, Christoph Benzmüller
A shallow semantical embedding for public announcement logic with relativized common knowledge is presented.
no code implementations • 14 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
no code implementations • 2 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.
no code implementations • 23 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.
no code implementations • 16 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).
no code implementations • 14 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.
no code implementations • 27 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
no code implementations • 20 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.
2 code implementations • 26 Jul 2019 • Alexander Steen, Christoph Benzmüller
Leo-III is an automated theorem prover for extensional type theory with Henkin semantics and choice.
no code implementations • 15 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.
no code implementations • 1 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.
1 code implementation • 25 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.
no code implementations • 9 Apr 2018 • Christoph Benzmüller, Xavier Parent
A flexible infrastructure for normative reasoning is outlined.
no code implementations • 26 Mar 2018 • Christoph Benzmüller, Xavier Parent
A semantical embedding of input/output logic in classical higher-order logic is presented.
1 code implementation • 23 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.
no code implementations • 8 Feb 2018 • Alexander Steen, Christoph Benzmüller
The automated theorem prover Leo-III for classical higher-order logic with Henkin semantics and choice is presented.
no code implementations • 28 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.
no code implementations • 6 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.
no code implementations • 31 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.
no code implementations • 7 May 2015 • Max Wisniewski, Alexander Steen, Christoph Benzmüller
LeoPARD supports the implementation of knowledge representation and reasoning tools for higher-order logic(s).
no code implementations • 21 Aug 2013 • Christoph Benzmüller, Bruno Woltzenlogel Paleo
Automatic verification of the consistency of the axioms and definitions with Nitpick.
no code implementations • 15 Mar 2013 • Christoph Benzmüller, Nik Sultana
Recent improvements of the LEO-II theorem prover are presented.