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We consider an agent with a rationally inattentive preference over menus of acts, as in de Oliveira et al (2017). We show that two axioms, Independence of Irrelevant Alternatives and Ignorance Equivalence, are necessary and sufficient for…

Theoretical Economics · Economics 2026-02-18 Henrique de Oliveira , Jeffrey Mensch

The problem of characterising the accuracy of, and disturbance caused by a joint measurement of position and momentum is investigated. In a previous paper the problem was discussed in the context of the unbiased measurements considered by…

Quantum Physics · Physics 2007-05-23 D. M. Appleby

Monotonicity and recursivity are central assumptions in intertemporal consumption problems under ambiguity. We show that monotone recursive preferences admit both a recursive and an ex-ante representation, and that the certainty equivalent…

Theoretical Economics · Economics 2026-01-23 Massimo Marinacci , Giulio Principi , Lorenzo Stanca

First-order irreversible phase transitions (IPT's) between an active regime and an absorbing state are studied in two models by means of both simulations and mean-field stability analysis. Hysteresis around coexistence is the result of the…

Statistical Mechanics · Physics 2007-05-23 Roberto A. Monetti , Alejandro Rozenfeld , Ezequiel V. Albano

In this paper we shall relate computational complexity to the principle of natural selection. We shall do this by giving a philosophical account of complexity versus universality. It seems sustainable to equate universal systems to complex…

Logic in Computer Science · Computer Science 2012-12-14 J. J. Joosten

We study abstraction for crash-resilient concurrent objects using non-volatile memory (NVM). We develop a library correctness criterion that is sound for ensuring contextual refinement in this setting, thus allowing clients to reason about…

Programming Languages · Computer Science 2022-01-31 Artem Khyzha , Ori Lahav

For models of concurrent and distributed systems, it is important and also challenging to establish correctness in terms of safety and/or liveness properties. Theories of distributed systems consider equivalences fundamental, since they (1)…

Logic in Computer Science · Computer Science 2017-12-01 Tobias Prehn , Stephan Mennicke

We present several philosophical ideas emerging from the studies of complex systems. We make a brief introduction to the basic concepts of complex systems, for then defining "abstraction levels". These are useful for representing…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Carlos Gershenson

We introduce the "relative diffuseness" assumption to characterize the differences between payoff-relevant and strategy-relevant diffuseness of information. Based on this assumption, the existence of pure strategy equilibria in games with…

Combinatorics · Mathematics 2014-06-11 Wei He , Xiang Sun

Preference Inference involves inferring additional user preferences from elicited or observed preferences, based on assumptions regarding the form of the user's preference relation. In this paper we consider a situation in which…

Logic in Computer Science · Computer Science 2024-09-18 Nic Wilson , Anne-Marie George , Barry O'Sullivan

Abstraction is a powerful idea widely used in science, to model, reason and explain the behavior of systems in a more tractable search space, by omitting irrelevant details. While notions of abstraction have matured for deterministic…

Artificial Intelligence · Computer Science 2020-01-14 Vaishak Belle

Onsager and Machlup proposed a second order variational-principle in order to include inertial effects into the Langevin-equation, giving a Lagrangian with second order derivatives in time. This but violates Ostrogradysky's theorem, which…

Statistical Mechanics · Physics 2020-12-16 Alexander Jurisch

Reflection principles (or dually speaking, compactness principles) often give rise to combinatorial guessing principles. Uniformization properties, on the other hand, are examples of anti-guessing principles. We discuss the tension and the…

Logic · Mathematics 2021-10-07 Jing Zhang

Promoting a theory with a finite number of terms into an effective field theory with an infinite number of terms worsens simplicity, predictability, falsifiability, and other attributes often favored in theory choice. However, the…

History and Philosophy of Physics · Physics 2013-06-26 James D. Wells

We consider here the problem of obtaining reliable, consistent information from inconsistent databases -- databases that do not have to satisfy given integrity constraints. We use the notion of consistent query answer -- a query answer…

Databases · Computer Science 2007-05-23 Jan Chomicki , Jerzy Marcinkowski

We propose to consider non confluence with respect to implicit complexity. We come back to some well known classes of first-order functional program, for which we have a characterization of their intentional properties, namely the class of…

Computational Complexity · Computer Science 2010-05-20 Guillaume Bonfante

We study first-order logic over unordered structures whose elements carry a finite number of data values from an infinite domain. Data values can be compared wrt.\ equality. As the satisfiability problem for this logic is undecidable in…

Logic in Computer Science · Computer Science 2024-08-07 Benedikt Bollig , Arnaud Sangnier , Olivier Stietel

Recently there has been much interest and progress in extending the definition of contextuality to systems with disturbance. We prove that such an endeavor cannot simultaneously satisfy the following principles: (1) any deterministic system…

Quantum Physics · Physics 2025-11-13 Alisson Tezzin , Elie Wolfe , Barbara Amaral , Matt Jones

Is a logicist bound to the claim that as a matter of analytic truth there is an actual infinity of objects? If Hume's Principle is analytic then in the standard setting the answer appears to be yes. Hodes's work pointed to a way out by…

Logic · Mathematics 2021-01-13 Will Stafford

We present a higher well-ordering principle which is equivalent (over Simpson's set theoretic version of $\text{ATR}_0$) to the existence of transitive models of Kripke-Platek set theory, and thus to $\Pi^1_1$-comprehension. This is a…

Logic · Mathematics 2018-09-20 Anton Freund