•  10
    Nonmonotonic Logic
    In Lou Goble (ed.), The Blackwell Guide to Philosophical Logic, Blackwell. 2017.
    The goal of a logic is to define a consequence relation between a set of formulas Γ and, in most cases, an individual formula A. This definition generally takes one of two forms. From a proof theoretic standpoint, A is said to be a consequence of Γ whenever there is a deduction of A from the set Γ, viewed as a set of premises; from a model theoretic standpoint, A is said to be a consequence of Γ whenever A holds in every model that satisfies each formula in Γ.
  •  39
    Introduction
    Journal of Philosophical Logic 44 (6): 593-594. 2015.
  •  39
    Action types in stit semantics
    Review of Symbolic Logic 10 (4): 617-637. 2017.
  • Handbook of Deontic Logic and Normative System, Volume 2 (edited book)
    with Dov Gabbay, ,, Xavier Parent, Ron van der Meyden, and Leon van der Torre
    College Publications. forthcoming.
  •  12
    Skepticism and floating conclusions
    Artificial Intelligence 135 (1-2): 55-72. 2002.
  •  21
    Modifying the reason model
    Artificial Intelligence and Law 29 (2): 271-285. 2020.
    In previous work, I showed how the “reason model” of precedential constraint could naturally be generalized from the standard setting in which it was first developed to a richer setting in which dimensional information is represented as well. Surprisingly, it then turned out that, in this new dimensional setting, the reason model of constraint collapsed into the “result model,” which supports only a fortiori reasoning. The purpose of this note is to suggest a modification of the reason model of …Read more
  • The Handbook of Deontic Logic (Vol. II) (edited book)
    with Dov Gabbay, Ron van der Meyden, Xavier Parent, and Leandert van der Torre
    College Publications. forthcoming.
  •  105
    Agency and deontic logic
    Oxford University Press. 2001.
    John Horty effectively develops deontic logic (the logic of ethical concepts like obligation and permission) against the background of a formal theory of agency. He incorporates certain elements of decision theory to set out a new deontic account of what agents ought to do under various conditions over extended periods of time. Offering a conceptual rather than technical emphasis, Horty's framework allows a number of recent issues from moral theory to be set out clearly and discussed from a unif…Read more
  •  41
    Epistemic Oughts in Stit Semantics
    Ergo: An Open Access Journal of Philosophy 6. 2019.
  •  39
    Reasoning with dimensions and magnitudes
    Artificial Intelligence and Law 27 (3): 309-345. 2019.
    This paper shows how two models of precedential constraint can be broadened to include legal information represented through dimensions. I begin by describing a standard representation of legal cases based on boolean factors alone, and then reviewing two models of constraint developed within this standard setting. The first is the “result model”, supporting only a fortiori reasoning. The second is the “reason model”, supporting a richer notion of constraint, since it allows the reasons behind a …Read more
  •  10
    Reasons as Defaults
    Oxford University Press USA. 2012.
    Although the study of reasons plays an important role in both epistemology and moral philosophy, little attention has been devoted to the question of how, exactly, reasons interact to support the actions or conclusions they do. In this book, John F. Horty attempts to answer this question by providing a precise, concrete account of reasons and their interaction, based on the logic of default reasoning. The book begins with an intuitive, accessible introduction to default logic itself, and then ar…Read more
  • Some Aspects of Meaning in Non-Contingent Language
    Dissertation, University of Pittsburgh. 1986.
    Frege's writings on meaning are often interpreted within the framework of possible worlds semantics. The resulting theories rely on contingency to account for a variety of linguistic phenomena, such as the behavior of expressions in propositional attitude contexts, or the idea that a definition might fix the reference of an expression without establishing its meaning. In this thesis, I interpret Frege's ideas within a different framework, to provide a semantic theory that is able to account for …Read more
  •  80
    Evaluating new options in the context of existing plans
    with Martha E. Pollack
    Artificial Intelligence 127 (2): 199-220
    This paper contributes to the foundations of a theory of rational choice for artificial agents in dynamic environments. Our work is developed within a theoretical framework, originally due to Bratman, that models resource-bounded agents as operating against the background of some current set of intentions, which helps to frame their subsequent reasoning. In contrast to the standard theory of rational choice, where options are evaluated in isolation, we therefore provide an analysis of situations …Read more
  •  58
    A sceptical theory of inheritance in nonmonotonic semantic networks
    with Richmond H. Thomason and David S. Touretzky
    Artificial Intelligence 42 (2-3): 311-348. 1990.
    inheritance reasoning in semantic networks allowing for multiple inheritance with exceptions. The approach leads to a definition of iaheritance that is..
  •  71
    The book begins by focusing on the psychological constraints governing Frege's notion of sense, or meaning, and argues that, given these constraints, even the ...
  •  602
    The result model of precedent
    Legal Theory 10 (1): 19-31. 2004.
    The result model of precedent holds that a legal precedent controls a fortiori cases—those cases, that is, that are at least as strong for the winning side of the precedent as the precedent case itself. This paper defends the result model against some objections by Larry Alexander, drawing on ideas from the field of Artificial Intelligence and Law in order to define an appropriate strength ordering for cases
  •  145
    Rules and reasons in the theory of precedent
    Legal Theory 17 (1): 1-33. 2011.
    The doctrine of precedent, as it has evolved within the common law, has at its heart a form of reasoning—broadly speaking, alogic—according to which the decisions of earlier courts in particular cases somehow generalize to constrain the decisions of later courts facing different cases, while still allowing these later courts a degree of freedom in responding to fresh circumstances. Although the techniques for arguing on the basis of precedent are taught early on in law schools, mastered with rel…Read more
  •  117
    Moral dilemmas and nonmonotonic logic
    Journal of Philosophical Logic 23 (1). 1994.
    From a philosophical standpoint, the work presented here is based on van Fraassen [26]. The bulk of that paper is organized around a series of arguments against the assumption, built into standard deontic logic, that moral dilemmas are impossible; and van Fraassen only briefly sketches his alternative approach. His paper ends with the conclusion that “the problem of possibly irresolvable moral conflict reveals serious flaws in the philosophical and semantic foundations of ‘orthodox’ deontic logi…Read more
  •  13
    A skeptical theory of mixed inheritance
    In J. Dunn & A. Gupta (eds.), Truth or Consequences: Essays in Honor of Nuel Belnap, Kluwer Academic Publishers. pp. 267--281. 1990.
  •  43
    Early attempts at combining multiple inheritance with nonmonotonic reasoning were based on straightforward extensions of tree-structured inheritance systems, and were theoretically unsound. In The Mathcmat~'cs of Inheritance Systcrns, or TMOIS, Touretzky described two problems these systems cannot handle: reasoning in the presence of true but redundant assertions, and coping with ambiguity. TMOIS provided a definition and analysis of a theoretically sound multiple inheritance system, accom-
  •  29
    The purpose of this paper is to explore a new deontic operator for representing what an agent ought to do; the operator is cast against the background of a modal treatment of action developed by Nuel Belnap and Michael Perlo, which itself relies on Arthur Prior's indeterministic tense logic. The analysis developed here of what an agent ought to do is based on a dominance ordering adapted from the decision theoretic study of choice under uncertainty to the present account of action. It is shown t…Read more
  •  30
    Reasons as Defaults
    Oup Usa. 2012.
    In this volume, John Horty brings to bear his work in logic to present a framework that allows for answers to key questions about reasons and reasoning, namely: What are reasons, and how do they support actions or conclusions?
  •  96
    Defaults with Priorities
    Journal of Philosophical Logic 36 (4): 367-413. 2007.
  •  117
    Agency and obligation
    Synthese 108 (2). 1996.
    The purpose of this paper is to explore a new deontic operator for representing what an agent ought to do; the operator is cast against the background of a modal treatment of action developed by Nuel Belnap and Michael Perloff, which itself relies on Arthur Prior's indeterministic tense logic. The analysis developed here of what an agent ought to do is based on a dominance ordering adapted from the decision theoretic study of choice under uncertainty to the present account of action. It is shown…Read more
  •  28
    This book provides a unified account of Hansson’s work on values (or preferences), norms, and their interrelations. Although much of the detailed material contained here appears among the numerous articles published by the author over the past decade or so, the book presents this work as a coherent whole. The overall style is formal: definitions are set out, results are established. Readers who do not enjoy formal work in value theory are likely to find little of interest here. But readers who d…Read more
  •  50
    Requirements, Oughts, Intentions
    Philosophy and Phenomenological Research 91 (1): 220-229. 2015.
  •  82
    This paper works within a particular framework for reasoning about actions—sometimes known as the framework of “stit semantics”—originally due to Belnap and Perloff, based ultimately on the theory of indeterminism set out in Prior’s indeterministic tense logic, and developed in full detail by Belnap, Perloff, and Xu [3]. The issues I want to consider arise when certain normative, or decision theoretic, notions are introduced into this framework: here I will focus on the notion of a right action,…Read more
  •  36
    Constraint and Freedom in the Common Law
    Philosophers' Imprint 15 1-27. 2015.
    This paper contributes to our formal understanding of the common law — especially the nature of the reasoning involved, but also its point, or justification, in terms of social coordination. I present two apparently distinct models of constraint by precedent in the common law, establish their equivalence, and argue for a perspective according to which courts are best thought of, not as creating and modifying rules, but as generating a social priority ordering on reasons through a procedure that …Read more
  •  60
    The purpose of this paper is to question some commonly accepted patterns of reasoning involving nonmonotonic logics that generate multiple extensions. In particular, I argue that the phenomenon of floating conclusions indicates a problem with the view that the skeptical consequences of such theories should be identified with the statements that are supported by each of their various extensions.
  •  41
    Right actions in perspective
    In Henrik Lagerlund, Sten Lindström & Rysiek Sliwinski (eds.), Modality Matters: Twenty-Five Essays in Honour of Krister Segerberg, Uppsala Philosophical Studies 53. pp. 53. 2006.