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We introduce a two-agent problem which is inspired by price asymmetry arising from funding difference. When two parties have different funding rates, the two parties deduce different fair prices for derivative contracts even under the same…

Mathematical Finance · Quantitative Finance 2020-01-01 Junbeom Lee , Stephan Sturm , Chao Zhou

The purpose of this report is to define abstractions for multi-agent systems under coupled constraints. In the proposed decentralized framework, we specify a finite or countable transition system for each agent which only takes into account…

Systems and Control · Computer Science 2015-03-02 Dimitris Boskos , Dimos V. Dimarogonas

Not all contracts are good, but all good contracts can be expressed as a finite-state transition system ("State-Transition Contracts"). Contracts that can be represented as State-Transition Contracts discretize fat-tailed risk to…

Formal Languages and Automata Theory · Computer Science 2023-02-02 J. Nathaniel Holmes , Homayoon Beigi

Describing systems in terms of choices and their resulting costs and rewards offers the promise of freeing algorithm designers and programmers from specifying how those choices should be made; in implementations, the choices can be realized…

Logic in Computer Science · Computer Science 2024-02-14 Martin Abadi , Gordon Plotkin

Promises, impositions, proposals, predictions, and suggestions are categorized as voluntary co-operational methods. The class of voluntary co-operational methods is included in the class of so-called directionals. Directionals are…

Multiagent Systems · Computer Science 2014-01-16 Jan A. Bergstra , Mark Burgess

Deontic logic is shown to be applicable for modelling human reasoning. For this the Wason selection task and the suppression task are discussed in detail. Different versions of modelling norms with deontic logic are introduced and in the…

Artificial Intelligence · Computer Science 2014-09-19 Ulrich Furbach , Claudia Schon

Design by Contract enables seamless software development by unifying software requirements with their implementations. In its pure form, however, Design by Contract leaves some problems with contracts' expressiveness, verifiability, and…

Software Engineering · Computer Science 2019-11-26 Alexandr Naumchev

Many challenges in today's society can be tackled by distributed open systems. This is particularly true for domains that are commonly perceived under the umbrella of smart cities, such as intelligent transportation, smart energy grids, or…

Multiagent Systems · Computer Science 2024-01-24 Holger Billhardt , Alberto Fernández , Marin Lujak , Sascha Ossowski

We analyze a number of properties obligations have or should have.

Logic · Mathematics 2009-03-09 Dov Gabbay , Karl Schlechta

This review presents and evaluates various formalisms for the purpose of modelling the semantics of financial derivatives contracts. The formalism proposed by Lee is selected as the best candidate among those initially reviewed. Further…

Software Engineering · Computer Science 2019-01-08 Varun Mathur

In the setting of the pi-calculus with binary sessions, we aim at relaxing the notion of duality of session types by the concept of retractable compliance developed in contract theory. This leads to extending session types with a new type…

Logic in Computer Science · Computer Science 2017-12-01 Franco Barbanera , Ugo de'Liguoro

Smart contracts are blockchain-based algorithms that execute when specific criteria are satisfied. They are often used to automate the implementation of an agreement so that all parties may be confident of the conclusion right away, without…

Cryptography and Security · Computer Science 2022-12-19 Harry Virani , Manthan Kyada

The current advancement in and deployment of agentic AI systems has created a set of key challenges for the legal frameworks that govern their use. We cover two central components: first, the regulatory classification of agents under the EU…

Computers and Society · Computer Science 2026-04-28 Philipp Hacker , Matthias Holweg

In a ceteris-paribus semantics for deontic logic, a state of affairs where a larger set of prescriptions is respected is preferable to a state of affairs where some of them are violated. Conditional preference nets (CP-nets) are a compact…

Artificial Intelligence · Computer Science 2020-03-25 Roberta Calegari , Andrea Loreggia , Emiliano Lorini , Francesca Rossi , Giovanni Sartor

We consider an operatorial model of alliances between three political parties which interact with their electors, with the undecided voters, and with the electors of the other parties. This extends what was done in a previous paper, where…

Physics and Society · Physics 2016-04-01 Fabio Bagarello

By a physical system we recognize a set of propositions about a given system with their truth-values depending on the states of the system. Since every physical system can go from one state in another one, there exists a binary relation on…

Logic · Mathematics 2018-09-12 Ivan Chajda , Jan Paseka

Implicit Computational Complexity makes two aspects implicit, by manipulating programming languages rather than models of com-putation, and by internalizing the bounds rather than using external measure. We survey how automata theory…

Logic in Computer Science · Computer Science 2015-02-05 Clément Aubert

Complex systems are composed of a large number of simple components connected to each other in the form of a network. It is shown that, for some network configurations, the equivalent dynamic behavior of the system is governed by an…

Mathematical Physics · Physics 2016-04-05 Mihir Sen , John P. Hollkamp , Fabio Semperlotti , Bill Goodwine

This paper provides a set of cut-free complete sequent-style calculi for deontic STIT ('See To It That') logics used to formally reason about choice-making, obligations, and norms in a multi-agent setting. We leverage these calculi to write…

Logic in Computer Science · Computer Science 2024-10-07 Tim S. Lyon , Kees van Berkel

We provide analytical lower and upper bounds for entanglement of formation for bipartite systems, which give a direct relation between the bounds of entanglement of formation and concurrence, and improve the previous results. Detailed…

Quantum Physics · Physics 2012-11-05 Xue-Na Zhu , Shao-Ming Fei
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