A Deontic Logic Reasoning Infrastructure

A flexible infrastructure for the automation of deontic and normative reasoning is presented. Our motivation is the development, study and provision of legal and moral reasoning competencies in future intelligent machines. Since there is no consensus on the “best” deontic logic formalisms and since the answer may be application specific, a flexible infrastructure is proposed in which candidate logic formalisms can be varied, assessed and compared in experimental ethics application studies. Our work thus links the historically rich research areas of classical higher-order logic, deontic logics, normative reasoning and formal ethics.

[1]  Jörg Hansen Reasoning About Permission and Obligation , 2014 .

[2]  Leon van der Torre,et al.  The pragmatic oddity in norm-based deontic logics , 2017, ICAIL.

[3]  Xavier Parent,et al.  I/O Logic in HOL - First Steps , 2018, ArXiv.

[4]  Christoph Benzmüller,et al.  Church’s Type Theory , 2006 .

[5]  Michael Fisher,et al.  Formal verification of ethical choices in autonomous systems , 2016, Robotics Auton. Syst..

[6]  Andrew J. I. Jones,et al.  Completeness and decidability results for a logic of contrary-to-duty conditionals , 2013, J. Log. Comput..

[7]  J. Horty Agency and Deontic Logic , 2001 .

[8]  Tobias Nipkow,et al.  Nitpick: A Counterexample Generator for Higher-Order Logic Based on a Relational Model Finder , 2010, ITP.

[9]  Lawrence C. Paulson,et al.  Extending Sledgehammer with SMT Solvers , 2011, CADE.

[10]  Selmer Bringsjord,et al.  Toward a General Logicist Methodology for Engineering Ethically Correct Robots , 2006, IEEE Intelligent Systems.

[11]  Xavier Parent,et al.  Detachment in Normative Systems: Examples, inference Patterns, Properties , 2017 .

[12]  Bruno Woltzenlogel Paleo,et al.  Computer-Assisted Analysis of the Anderson–Hájek Ontological Controversy , 2017, Logica Universalis.

[13]  B. Hansson An analysis of some deontic logics , 1969 .

[14]  Michael Fisher,et al.  Practical Challenges in Explicit Ethical Machine Reasoning , 2018, ISAIM.

[15]  Michael Anderson,et al.  Toward ensuring ethical behavior from autonomous systems: a case-supported principle-based paradigm , 2015, Ind. Robot.

[16]  Andrew J. I. Jones,et al.  Deontic Logic and Contrary-to-Duties , 2002 .

[17]  Xavier Parent,et al.  First Experiments with a Flexible Infrastructure for Normative Reasoning , 2018, ArXiv.

[18]  Lawrence C. Paulson,et al.  The Higher-Order Prover Leo-II , 2015, Journal of Automated Reasoning.

[19]  Xavier Parent,et al.  COMPLETENESS OF ÅQVIST’S SYSTEMS E AND F , 2014, The Review of Symbolic Logic.

[20]  Paul McNamara,et al.  Deontic logic , 2006, Logic and the Modalities in the Twentieth Century.

[21]  G. Sartor Legal Reasoning: A Cognitive Approach to Law , 2005 .

[22]  Ulrich Furbach,et al.  Automated Reasoning in Deontic Logic , 2014, MIWAI.

[23]  Cesare Tinelli,et al.  A tour of CVC4: How it works, and how to use it , 2014, 2014 Formal Methods in Computer-Aided Design (FMCAD).

[24]  Leon van der Torre,et al.  Input/Output Logics , 2000, J. Philos. Log..

[25]  Christoph Benzmüller,et al.  Recent Successes with a Meta-Logical Approach to Universal Logical Reasoning (Extended Abstract) , 2017, SBMF.

[26]  Bruno Woltzenlogel Paleo,et al.  The Inconsistency in Gödel's Ontological Argument: A Success Story for AI in Metaphysics , 2016, IJCAI.

[27]  Tobias Nipkow,et al.  A Proof Assistant for Higher-Order Logic , 2002 .

[28]  Christoph Benzmüller,et al.  Cut-Elimination for Quantified Conditional Logic , 2017, J. Philos. Log..

[29]  Christoph Benzmüller,et al.  MECHANIZING PRINCIPIA LOGICO-METAPHYSICA IN FUNCTIONAL TYPE-THEORY , 2017, The Review of Symbolic Logic.

[30]  Luís Moniz Pereira,et al.  Programming Machine Ethics , 2016, Studies in Applied Philosophy, Epistemology and Rational Ethics.

[31]  Virginia Dignum,et al.  Responsible Autonomy , 2017, IJCAI.

[32]  Andrei Popescu,et al.  More SPASS with Isabelle - Superposition with Hard Sorts and Configurable Simplification , 2012, ITP.

[33]  Xavier Parent,et al.  Faithful Semantical Embedding of a Dyadic Deontic Logic in HOL , 2018, ArXiv.

[34]  Lawrence C. Paulson,et al.  Quantified Multimodal Logics in Simple Type Theory , 2009, Logica Universalis.

[35]  Dale Miller,et al.  Automation of Higher-Order Logic , 2014, Computational Logic.

[36]  Leon van der Torre,et al.  - The pragmatic oddity in a norm-based semantics. , 2017, ICAIL 2017.