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Truth refers to the satisfaction relation used to define the semantics of model-theoretic languages. The satisfaction relation for first order languages (truth classification), and the preservation of truth by first order interpretations…

Logic in Computer Science · Computer Science 2024-04-24 Robert E. Kent

Quantum money is a cryptographic protocol in which a mint can produce a quantum state, no one else can copy the state, and anyone (with a quantum computer) can verify that the state came from the mint. We present a concrete quantum money…

Quantum Physics · Physics 2010-04-30 Edward Farhi , David Gosset , Avinatan Hassidim , Andrew Lutomirski , Peter Shor

There are many possible definitions of derivatives, here we present some and present one that we have called generalized that allows us to put some of the others as a particular case of this but, what interests us is to determine that there…

Functional Analysis · Mathematics 2021-03-01 Zeinab Toghani , Luis Gaggero

We present a general formalism with the aim of describing the situation of an entity, how it is, how it reacts to experiments, how we can make statistics with it, and how it changes under the influence of the rest of the universe. Therefore…

Quantum Physics · Physics 2007-05-23 Diederik Aerts

A new chaotic financial system is proposed by considering ethics involvement in a four-dimensional financial system with market confidence. A five-dimensional conformable derivative financial system is presented by introducing conformable…

General Finance · Quantitative Finance 2019-04-03 Baogui Xin , Wei Peng , Yekyung Kwon , Yanqin Liu

An introductory formal languages course exposes advanced undergraduate and early graduate students to automata theory, grammars, constructive proofs, computability, and decidability. Programming students find these topics to be challenging…

Formal Languages and Automata Theory · Computer Science 2014-12-17 Marco T. Morazán , Rosario Antunez

The paper considers the class of information systems capable of solving heuristic problems on basis of formal theory that was termed modal and vector theory of formal intelligent systems (FIS). The paper justifies the construction of FIS…

Artificial Intelligence · Computer Science 2013-02-07 Yuri Parzhin

A generalization of exterior calculus is considered by allowing the partial derivatives in the exterior derivative to assume fractional orders. That is, a fractional exterior derivative is defined. This is found to generate new vector…

Mathematical Physics · Physics 2009-11-10 Kathleen Cotrill-Shepherd , Mark Naber

We propose a decision-analytical approach to comparing the flexibility of decision situations from the perspective of a decision-maker who exhibits constant risk-aversion over a monetary value model. Our approach is simple yet seems to be…

Artificial Intelligence · Computer Science 2013-02-18 Ross D. Shachter , Marvin Mandelbaum

In this work we investigate the representation of counterfactual conditionals using the vector logic, a matrix-vectors formalism for logical functions and truth values. Inside this formalism, the counterfactuals can be transformed in…

Computation and Language · Computer Science 2020-09-03 Eduardo Mizraji

A major determinant of the quality of software systems is the quality of their requirements, which should be both understandable and precise. Most requirements are written in natural language, good for understandability but lacking in…

Software Engineering · Computer Science 2020-04-17 Jean-Michel Bruel , Sophie Ebersold , Florian Galinier , Alexandr Naumchev , Manuel Mazzara , Bertrand Meyer

We study resource allocation in two-sided markets from a fundamental perspective and introduce a general modeling and algorithmic framework to effectively incorporate the complex and multidimensional aspects of fairness. Our main technical…

Computer Science and Game Theory · Computer Science 2025-06-03 Javier Cembrano , Andrés Moraga , Victor Verdugo

We consider a mechanism design setting with a single item and a single buyer who is uncertain about the value of the item. Both the buyer and the seller have a common model for the buyer's value, but the buyer discovers her true value only…

Computer Science and Game Theory · Computer Science 2025-07-08 Saeed Alaei , Shuchi Chawla , Zhiyi Huang , Ali Makhdoumi , Azarakhsh Malekian

We formulate one methodology to put a value or price on knowledge using well accepted techniques from finance. We provide justifications for these finance principles based on the limitations of the physical world we live in. We start with…

General Finance · Quantitative Finance 2021-02-02 Ravi Kashyap

Most recent theoretical literature on program obfuscation is based on notions like Virtual Black Box (VBB) obfuscation and indistinguishability Obfuscation (iO). These notions are very strong and are hard to satisfy. Further, they offer far…

Cryptography and Security · Computer Science 2020-11-06 Muhammad Rizwan Asghar , Steven Galbraith , Andrea Lanzi , Giovanni Russello , Lukas Zobernig

A recent trend in multi-party computation is to achieve cryptographic fairness via monetary penalties, i.e. each honest player either obtains the output or receives a compensation in the form of a cryptocurrency. We pioneer another type of…

Cryptography and Security · Computer Science 2022-08-12 Daniele Friolo , Fabio Massacci , Chan Nam Ngo , Daniele Venturi

Ecosystems enjoy increasing attention due to their flexibility and innovative power. It is well known, however, that this type of network-based economic governance structures occupies a potentially unstable position between the two stable…

Theoretical Economics · Economics 2024-01-30 Christoph F. Strnadl

To analyse and verify the safety and security properties of interactive systems, a formal specification might be necessary. There are many types of formal languages and frameworks. The decision regarding what type of formal specification…

Formal Languages and Automata Theory · Computer Science 2025-05-15 Maria Spichkova

A general theory of resource-bounded measurability and measure is developed. Starting from any feasible probability measure $\nu$ on the Cantor space $\C$ and any suitable complexity class $C \subseteq \C$, the theory identifies the subsets…

Computational Complexity · Computer Science 2012-02-01 Jack Lutz

Residual coherence is a graphical tool for selecting potential second-order interaction terms as functions of a single time series and its lags. This paper extends the notion of residual coherence to account for interaction terms of…

Applications · Statistics 2021-03-05 Xuze Zhang , Benjamin Kedem