Results for 'Expressive power'

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  1.  25
    The Expressive Power of Modal Dependence Logic.Lauri Hella, Kerkko Luosto, Katsuhiko Sano & Jonni Virtema - 2014 - In Rajeev Goré, Barteld Kooi & Agi Kurucz (eds.), Advances in Modal Logic, Volume 10: Papers From the Tenth Aiml Conference, Held in Groningen, the Netherlands, August 2014. London, England: CSLI Publications. pp. 294-312.
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  2. On Expressive Power Over Arithmetic.Carlo Nicolai - 2018 - In John Baldwin (ed.), Truth, Existence and Explanation. Springer Verlag.
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  3.  13
    Ideas, expressions, universals, and particulars: Metaphysics in the realm of software copyright law.Thomas M. Powers - 2004 - In H. Tavani & R. Spinello (eds.), Intellectual Property Rights in a Networked World. Idea Group.
    in Intellectual Property Rights in a Networked World, eds. H. Tavani and R. Spinello, 2004.
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  4.  44
    The expressive power of memory logics.Carlos Areces, Diego Figueira, Santiago Figueira & Sergio Mera - 2011 - Review of Symbolic Logic 4 (2):290-318.
    We investigate the expressive power of memory logics. These are modal logics extended with the possibility to store (or remove) the current node of evaluation in (or from) a memory, and to perform membership tests on the current memory. From this perspective, the hybrid logic (↓), for example, can be thought of as a particular case of a memory logic where the memory is an indexed list of elements of the domain.
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  5.  43
    The Expressive Power of Second-Order Propositional Modal Logic.Michael Kaminski & Michael Tiomkin - 1996 - Notre Dame Journal of Formal Logic 37 (1):35-43.
    It is shown that the expressive power of second-order propositional modal logic whose modalities are S4.2 or weaker is the same as that of second-order predicate logic.
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  6.  69
    The Expressive Power of Truth.Martin Fischer & Leon Horsten - 2015 - Review of Symbolic Logic 8 (2):345-369.
    There are two perspectives from which formal theories can be viewed. On the one hand, one can take a theory to be about some privileged models. On the other hand, one can take all models of a theory to be on a par. In contrast with what is usually done in philosophical debates, we adopt the latter viewpoint. Suppose that from this perspective we want to add an adequate truth predicate to a background theory. Then on the one hand the (...)
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  7.  67
    Expressive power, mood, and actuality.Rohan French - 2013 - Synthese 190 (9):1689-1699.
    In Wehmeier (J Philos Log 33:607–630, 2004) we are presented with the subjunctive modal language, a way of dealing with the expressive inadequacy of modal logic by marking atomic predicates as being either in the subjunctive or indicative mood. Wehmeier claims that this language is expressively equivalent to the standard actuality language, and that despite this the marked-unmarked dichotomies are not the same in the two languages. In this paper we will attend to Wehmeier’s argument that this is the (...)
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  8.  11
    Expressive Power and Intensional Operators.Pablo Cubides Kovacsics & David Rey - 2024 - Journal of Logic, Language and Information 33 (2):107-141.
    In Entities and Indices, M. J. Cresswell argued that a first-order modal language can reach the expressive power of natural-language modal discourse only if we give to the formal language a semantics with indices containing infinite possible worlds and we add to it an infinite collection of operators $${{\varvec{actually}}}_n$$ actually n and $$ Ref _n$$ R e f n which store and retrieve worlds. In the fourth chapter of the book, Cresswell gave a proof that the resulting intensional (...)
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  9.  49
    Expressive Power and Incompleteness of Propositional Logics.James W. Garson - 2010 - Journal of Philosophical Logic 39 (2):159-171.
    Natural deduction systems were motivated by the desire to define the meaning of each connective by specifying how it is introduced and eliminated from inference. In one sense, this attempt fails, for it is well known that propositional logic rules underdetermine the classical truth tables. Natural deduction rules are too weak to enforce the intended readings of the connectives; they allow non-standard models. Two reactions to this phenomenon appear in the literature. One is to try to restore the standard readings, (...)
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  10. The expressive power of fixed-point logic with counting.Martin Otto - 1996 - Journal of Symbolic Logic 61 (1):147-176.
    We study the expressive power in the finite of the logic Fixed-Point+Counting, the extension of first-order logic which is obtained through adding both the fixed-point constructor and the ability to count. To this end an isomorphism preserving (`generic') model of computation is introduced whose PTime restriction exactly corresponds to this level of expressive power, while its PSpace restriction corresponds to While+Counting. From this model we obtain a normal form which shows a rather clear separation of the (...)
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  11.  64
    Expressive Power of “Now” and “Then” Operators.Igor Yanovich - 2015 - Journal of Logic, Language and Information 24 (1):65-93.
    Natural language provides motivation for studying modal backwards-looking operators such as “now”, “then” and “actually” that evaluate their argument formula at some previously considered point instead of the current one. This paper investigates the expressive power over models of both propositional and first-order basic modal language enriched with such operators. Having defined an appropriate notion of bisimulation for first-order modal logic, I show that backwards-looking operators increase its expressive power quite mildly, contrary to beliefs widespread among (...)
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  12. On the expressive power of first-order modal logic with two-dimensional operators.Alexander W. Kocurek - 2018 - Synthese 195 (10):4373-4417.
    Many authors have noted that there are types of English modal sentences cannot be formalized in the language of basic first-order modal logic. Some widely discussed examples include “There could have been things other than there actually are” and “Everyone who is actually rich could have been poor.” In response to this lack of expressive power, many authors have discussed extensions of first-order modal logic with two-dimensional operators. But claims about the relative expressive power of these (...)
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  13.  56
    The Expressive Power of Medieval Logic.Terry Parsons - 2013 - Vivarium 51 (1-4):511-521.
    This paper is about the development of logic in the Aristotelian tradition, from Aristotle to the mid-fourteenth century. I will compare four systems of logic with regard to their expressive power. 1. Aristotle’s own logic, based mostly on chapters 1-2 and 4-7 of his Prior Analytics 2. An expanded version of Aristotle’s logic that one finds, e.g., in Sherwood’s Introduction to Logic and Peter of Spain’s Tractatus 3-5. Versions of the logic of later supposition theorists such as William (...)
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  14.  59
    Hate Speech Laws: Expressive Power is Not the Answer.Maxime Lepoutre - 2019 - Legal Theory 25 (4):272-296.
    According to the influential “expressive” argument for hate speech laws, legal restrictions on hate speech are justified, in significant part, because they powerfully express opposition to hate speech. Yet the expressive argument faces a challenge: why couldn't we communicate opposition to hate speech via counterspeech, rather than bans? I argue that the expressive argument cannot address this challenge satisfactorily. Specifically, I examine three considerations that purport to explain bans’ expressive distinctiveness: considerations of strength; considerations of directness; (...)
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  15.  20
    The expressive power of k-ary exclusion logic.Raine Rönnholm - 2019 - Annals of Pure and Applied Logic 170 (9):1070-1099.
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  16.  49
    Expressive power of digraph solvability.Marc Bezem, Clemens Grabmayer & Michał Walicki - 2012 - Annals of Pure and Applied Logic 163 (3):200-213.
  17.  35
    On expressive power of basic modal intuitionistic logic as a fragment of classical FOL.Grigory K. Olkhovikov - 2017 - Journal of Applied Logic 21:57-90.
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  18.  7
    The Expressive Powers of Law: Theories and Limits. [REVIEW]Patrick McKinley Brennan - 2016 - Review of Metaphysics 69 (3):628-630.
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  19.  43
    The Expressive Power of the N-Operator and the Decidability of Logic in Wittgenstein’s Tractatus.Rodrigo Sabadin Ferreira - 2023 - History and Philosophy of Logic 44 (1):33-53.
    The present text discusses whether there is a tension between aphorisms 6.1-6.13 of the Tractatus and the Church-Turing theorem about the decidability of predicate logic. We attempt to establish the following points: (i) Aphorisms 6.1-6.13 are not consistent with the Church-Turing theorem. (ii) The logical symbolism of the Tractatus, built from the N-operator, can (and should) be interpreted as expressively complete with respect to first-order formulas. (iii) Wittgenstein’s reasons for believing that Logic is decidable were purely philosophical and the undecidability (...)
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  20.  63
    Expressive power in first order topology.Paul Bankston - 1984 - Journal of Symbolic Logic 49 (2):478-487.
    A first order representation (f.o.r.) in topology is an assignment of finitary relational structures of the same type to topological spaces in such a way that homeomorphic spaces get sent to isomorphic structures. We first define the notions "one f.o.r. is at least as expressive as another relative to a class of spaces" and "one class of spaces is definable in another relative to an f.o.r.", and prove some general statements. Following this we compare some well-known classes of spaces (...)
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  21.  10
    On the Expressive Power of Calculi of Explicit Substitution.Ariel Arbiser - 2007 - In Jean-Yves Béziau & Alexandre Costa-Leite (eds.), Perspectives on Universal Logic. Milan, Italy: Polimetrica. pp. 159.
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  22.  12
    The expressive power of circumscription.Tom Costello - 1998 - Artificial Intelligence 104 (1-2):313-329.
  23.  66
    Expressive power and semantic completeness: Boolean connectives in modal logic.I. L. Humberstone - 1990 - Studia Logica 49 (2):197 - 214.
    We illustrate, with three examples, the interaction between boolean and modal connectives by looking at the role of truth-functional reasoning in the provision of completeness proofs for normal modal logics. The first example (§ 1) is of a logic (more accurately: range of logics) which is incomplete in the sense of being determined by no class of Kripke frames, where the incompleteness is entirely due to the lack of boolean negation amongst the underlying non-modal connectives. The second example (§ 2) (...)
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  24.  64
    A note on the expressive power of probabilistic context free grammars.Gabriel Infante-Lopez & Maarten De Rijke - 2006 - Journal of Logic, Language and Information 15 (3):219-231.
    We examine the expressive power of probabilistic context free grammars (PCFGs), with a special focus on the use of probabilities as a mechanism for reducing ambiguity by filtering out unwanted parses. Probabilities in PCFGs induce an ordering relation among the set of trees that yield a given input sentence. PCFG parsers return the trees bearing the maximum probability for a given sentence, discarding all other possible trees. This mechanism is naturally viewed as a way of defining a new (...)
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  25.  10
    A Note on the Expressive Power of Probabilistic Context Free Grammars.Gabriel Infante-Lopez & Maarten Rijke - 2006 - Journal of Logic, Language and Information 15 (3):219-231.
    We examine the expressive power of probabilistic context free grammars (PCFGs), with a special focus on the use of probabilities as a mechanism for reducing ambiguity by filtering out unwanted parses. Probabilities in PCFGs induce an ordering relation among the set of trees that yield a given input sentence. PCFG parsers return the trees bearing the maximum probability for a given sentence, discarding all other possible trees. This mechanism is naturally viewed as a way of defining a new (...)
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  26.  83
    Hampton on the expressive power of punishment.Heather J. Gert, Linda Radzik & and Michael Hand - 2004 - Journal of Social Philosophy 35 (1):79–90.
    In her later writings Jean Hampton develops an expressive theory of punishment she takes to be retributivist. Unlike Feinberg, Hampton claims wrongdoings as well as punishments are expressive. Wrongdoings assert that the victim is less valuable than victimizer. On her view we are obligated to punish because we are obligated to respond to this false assertion. Punishment expresses the moral truth that victim and wrongdoer are equally valuable. We argue that Hampton's argument would work only if she held (...)
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  27. What Can You Say? Measuring the Expressive Power of Languages.Alexander Kocurek - 2018 - Dissertation, University of California, Berkeley
    There are many different ways to talk about the world. Some ways of talking are more expressive than others—that is, they enable us to say more things about the world. But what exactly does this mean? When is one language able to express more about the world than another? In my dissertation, I systematically investigate different ways of answering this question and develop a formal theory of expressive power, translation, and notational variance. In doing so, I show (...)
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  28. On the expressive power of Łukasiewicz square operator.Marcelo E. Coniglio, Francesc Esteva, Tommaso Flaminio & Lluis Godo - forthcoming - Journal of Logic and Computation.
    The aim of the paper is to analyze the expressive power of the square operator of Łukasiewicz logic: ∗x=x⊙x⁠, where ⊙ is the strong Łukasiewicz conjunction. In particular, we aim at understanding and characterizing those cases in which the square operator is enough to construct a finite MV-chain from a finite totally ordered set endowed with an involutive negation. The first of our main results shows that, indeed, the whole structure of MV-chain can be reconstructed from the involution (...)
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  29.  16
    Relative expressive power of navigational querying on graphs using transitive closure.Dimitri Surinx, George H. L. Fletcher, Marc Gyssens, Dirk Leinders, Jan Van den Bussche, Dirk Van Gucht, Stijn Vansummeren & Yuqing Wu - 2015 - Logic Journal of the IGPL 23 (5):759-788.
  30.  19
    The expressive power of Malitz quantifiers for linear orderings.Hans-Peter Tuschik - 1987 - Annals of Pure and Applied Logic 36:53-103.
  31. Compositionality and Expressive Power: Comments on Pietroski.Elmar Unnsteinsson - 2020 - Croatian Journal of Philosophy 20 (3):295-310.
    Paul Pietroski has developed a powerful minimalist and internalist alternative to standard compositional semantics, where meanings are identified with instructions to fetch or assemble human concepts in specific ways. In particular, there appears to be no need for Fregean Function Application, as natural language composition only involves processes of combining monadic or dyadic concepts, and Pietroski’s theory can then, allegedly, avoid both singular reference and truth conditions. He also has a negative agenda, purporting to show, roughly, that the vocabulary of (...)
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  32.  24
    Complexity and expressive power of second‐order extended Horn logic.Shiguang Feng & Xishun Zhao - 2013 - Mathematical Logic Quarterly 59 (1-2):4-11.
    We introduce SO-HORNr which is a revised version of SO-HORN and show that SO-HORNr captures equation image on ordered finite structures. We also introduce second-order extended Horn logic SO-EHORN and a superclass SO-EHORNr of it. We show that both of them capture equation image on ordered finite structures by proving that SO-EHORN and SO-EHORNr have the same expressive power when only consider ordered structures.
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  33.  15
    Evil in contemporary French and francophone literature.Scott M. Powers (ed.) - 2011 - Newcastle upon Tyne, UK: Cambridge Scholars Press.
    Evil remains a primary source of inquiry in contemporary literature of French expression, even among its most secular writers. In considering French-speaking authors from France, Belgium, the United States, the Maghreb, and Sub-Saharan Africa, this collection delineates a rich international perspective on some of the most disturbing events of our time. Each essay testifies to the urgency expressed in works of fiction to give an account of human catastrophes, from the Shoah and the Rwandan genocide to the terrorist attacks of (...)
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  34. Multiple realization and expressive power in mathematics and ethics.David Liggins - 2016 - In Uri D. Leibowitz & Neil Sinclair (eds.), Explanation in Ethics and Mathematics: Debunking and Dispensability. Oxford, England: Oxford University Press UK.
    According to a popular ‘explanationist’ argument for moral or mathematical realism the best explanation of some phenomena are moral or mathematical, and this implies the relevant form of realism. One popular way to resist the premiss of such arguments is to hold that any supposed explanation provided by moral or mathematical properties is in fact provided only by the non-moral or non-mathematical grounds of those properties. Many realists have responded to this objection by urging that the explanations provided by the (...)
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  35.  10
    On the Expressive Power of TeamLTL and First-Order Team Logic over Hyperproperties.Juha Kontinen & Max Sandström - 2021 - In Alexandra Silva, Renata Wassermann & Ruy de Queiroz (eds.), Logic, Language, Information, and Computation: 27th International Workshop, Wollic 2021, Virtual Event, October 5–8, 2021, Proceedings. Springer Verlag. pp. 302-318.
    In this article we study linear temporal logics with team semantics that are novel logics for defining hyperproperties. We define Kamp-type translations of these logics into fragments of first-order team logic and second-order logic. We also characterize the expressive power and the complexity of model-checking and satisfiability of team logic and second-order logic by relating them to second- and third-order arithmetic. Our results set in a larger context the recent results of Lück showing that the extension of TeamLTL (...)
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  36.  18
    On the expressive power of collective attacks.Wolfgang Dvořák, Jorge Fandinno & Stefan Woltran - 2019 - Argument and Computation 10 (2):191-230.
  37.  49
    (1 other version)On fork arrow logic and its expressive power.Paulo A. S. Veloso, Renata P. de Freitas, Petrucio Viana, Mario Benevides & Sheila R. M. Veloso - 2007 - Journal of Philosophical Logic 36 (5):489 - 509.
    We compare fork arrow logic, an extension of arrow logic, and its natural first-order counterpart (the correspondence language) and show that both have the same expressive power. Arrow logic is a modal logic for reasoning about arrow structures, its expressive power is limited to a bounded fragment of first-order logic. Fork arrow logic is obtained by adding to arrow logic the fork modality (related to parallelism and synchronization). As a result, fork arrow logic attains the (...) power of its first-order correspondence language, so both can express the same input–output behavior of processes. (shrink)
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  38.  12
    (1 other version)On IF Modal Logic and its Expressive Power.Tero Tulenheimo - 1998 - In Marcus Kracht, Maarten de Rijke, Heinrich Wansing & Michael Zakharyaschev (eds.), Advances in Modal Logic. CSLI Publications. pp. 475-498.
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  39.  29
    In the Mood for S4: The Expressive Power of the Subjunctive Modal Language in Weak Background Logics.Rohan French - 2015 - Studia Logica 103 (2):239-263.
    Our concern here is with the extent to which the expressive equivalence of Wehmeier’s Subjunctive Modal Language and the Actuality Modal Language is sensitive to the choice of background modal logic. In particular we will show that, when we are enriching quantified modal logics weaker than S5, AML is strictly expressively stronger than SML, this result following from general considerations regarding the relationship between operators and predicate markers. This would seem to complicate arguments given in favour of SML which (...)
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  40.  26
    Extending the expressive power of semantic networks.L. K. Schubert - 1976 - Artificial Intelligence 7 (2):163-198.
  41.  63
    Deductive versus Expressive Power: A Pre-Godelian Predicament.Neil Tennant - 2000 - Journal of Philosophy 97 (5):257.
  42.  17
    On the Expressive Power of Abstract Categorial Grammars: Representing Context-Free Formalisms.Philippe Groote & Sylvain Pogodalla - 2004 - Journal of Logic, Language and Information 13 (4):421-438.
    We show how to encode context-free string grammars, linear context-free tree grammars, and linear context-free rewriting systems as Abstract Categorial Grammars. These three encodings share the same constructs, the only difference being the interpretation of the composition of the production rules. It is interpreted as a first-order operation in the case of context-free string grammars, as a second-order operation in the case of linear context-free tree grammars, and as a third-order operation in the case of linear context-free rewriting systems. This (...)
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  43.  70
    Exploitation, Working Poverty, and the Expressive Power of Wages.Ned Dobos - 2018 - Journal of Applied Philosophy 36 (2):333-347.
    The ‘working poor’ are paid below‐subsistence wages for full‐time employment. What, if anything, is wrong with this? The extant philosophical literature offers two kinds of answers. The first says that failing to pay workers enough to live on takes unfair advantage of them; the workers are exploited. The second says that employers who fail to pay living wages default on a duty of care grounded in a special relationship; the workers are neglected. These arguments, though generally sound, provide an incomplete (...)
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  44.  34
    Logics with Group Announcements and Distributed Knowledge: Completeness and Expressive Power.Thomas Ågotnes, Natasha Alechina & Rustam Galimullin - 2022 - Journal of Logic, Language and Information 31 (2):141-166.
    Public announcement logic is an extension of epistemic logic with dynamic operators that model the effects of all agents simultaneously and publicly acquiring the same piece of information. One of the extensions of PAL, group announcement logic, allows quantification over announcements made by agents. In GAL, it is possible to reason about what groups can achieve by making such announcements. It seems intuitive that this notion of coalitional ability should be closely related to the notion of distributed knowledge, the implicit (...)
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  45.  10
    (1 other version)Comparing The Expressive Power of Some Languages for Boolean Algebras.Lutz Heindorf - 1981 - Mathematical Logic Quarterly 27 (25‐30):419-434.
  46. On the expressive power of monotone natural language quantifiers over finite models.Jouko Väänänen & Dag Westerståhl - 2002 - Journal of Philosophical Logic 31 (4):327-358.
    We study definability in terms of monotone generalized quantifiers satisfying Isomorphism Closure, Conservativity and Extension. Among the quantifiers with the latter three properties - here called CE quantifiers - one finds the interpretations of determiner phrases in natural languages. The property of monotonicity is also linguistically ubiquitous, though some determiners like an even number of are highly non-monotone. They are nevertheless definable in terms of monotone CE quantifiers: we give a necessary and sufficient condition for such definability. We further identify (...)
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  47.  54
    The relative expressive power of some logics extending first-order logic.John Cowles - 1979 - Journal of Symbolic Logic 44 (2):129-146.
  48.  32
    ON THE EXPRESSIVE POWER OF THE LOGICS L(Q α n1,…, n m).Andreas Rapp - 1984 - Mathematical Logic Quarterly 30 (1-6):11-20.
  49.  22
    (1 other version)On the Expressive Power of Equality‐Free First Order Languages.P. Ecsedi‐Tóth - 1986 - Mathematical Logic Quarterly 32 (19‐24):371-375.
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  50.  67
    A cognitive access definition of privacy.Madison Powers - 1996 - Law and Philosophy 15 (4):369 - 386.
    Many of the contemporary disagreements regarding privacy are conceptual in nature. They concern the meaning or definition of privacy and the analytic basis of distinguishing privacy rights from other kinds of rights recognized within moral, political, or legal theories. The two main alternatives within this debate include reductionist views, which seek a narrow account of the kinds of invasions or intrusions distinctly involving privacy losses, and anti-reductionist theories, which treat a much broader array of interferences with a person as separate (...)
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