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Set Theory or Higher Order Logic to Represent Auction Concepts in Isabelle? [PDF]

open access: yesInternational Conference on Intelligent Computer Mathematics, 2014
When faced with the question of how to represent properties in a formal proof system any user has to make design decisions. We have proved three of the theorems from Maskin’s 2004 survey article on Auction Theory using the Isabelle/HOL system, and we ...
M. Caminati   +3 more
semanticscholar   +5 more sources

Group field theories for all loop quantum gravity

open access: yesNew Journal of Physics, 2015
Group field theories represent a second quantized reformulation of the loop quantum gravity state space and a completion of the spin foam formalism. States of the canonical theory, in the traditional continuum setting, have support on graphs of arbitrary
Daniele Oriti   +2 more
doaj   +2 more sources

Postulates of the cognitive theory of thinking and their consequences [PDF]

open access: yesИзвестия высших учебных заведений: Прикладная нелинейная динамика, 2022
Purpose of the work is to create a theoretical model of the thinking process, considered as a set of operations for the formation of cognitive generalizations of the level of categories (concepts).
Antonets, Vladimir Aleksandrovich
doaj   +1 more source

Qualitative motivation with sets and relations

open access: yesFrontiers in Psychology, 2023
In self-determination theory (SDT), multiple conceptual regulations of motivation are posited. These forms of motivation are especially qualitatively viewed by SDT researchers, and there are situations in which combinations of these regulations occur. In
Ali Ünlü
doaj   +1 more source

Seaweeds Arising from Brauer Configuration Algebras

open access: yesMathematics, 2023
Seaweeds or seaweed Lie algebras are subalgebras of the full-matrix algebra Mat(n) introduced by Dergachev and Kirillov to give an example of algebras for which it is possible to compute the Dixmier index via combinatorial methods.
Agustín Moreno Cañadas   +1 more
doaj   +1 more source

The Discrete Fundamental Group of the Associahedron [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2009
The associahedron is an object that has been well studied and has numerous applications, particularly in the theory of operads, the study of non-crossing partitions, lattice theory and more recently in the study of cluster algebras.
Christopher Severs, Jacob White
doaj   +1 more source

Lattice paths with catastrophes [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2017
In queuing theory, it is usual to have some models with a "reset" of the queue. In terms of lattice paths, it is like having the possibility of jumping from any altitude to zero.
Cyril Banderier, Michael Wallner
doaj   +1 more source

Graph theory and combinatorial calculus: an early approach to enhance robust understanding

open access: yesZDM – Mathematics Education, 2022
The objective of this work is to show an educational path for combinatorics and graph theory that has the aim, on one hand, of helping students understand some discrete mathematics properties, and on the other, of developing modelling skills through a ...
Daniela Ferrarello   +3 more
semanticscholar   +1 more source

Optimal schemes for combinatorial query problems with integer feedback [PDF]

open access: yesCombinatorial Theory, 2022
A query game is a pair of a set $Q$ of queries and a set $\mathcal{F}$ of functions, or codewords $f:Q\rightarrow \mathbb{Z}.$ We think of this as a two-player game. One player, Codemaker, picks a hidden codeword $f\in \mathcal{F}$.
A. Martinsson
semanticscholar   +1 more source

Reinforcement learning for the traveling salesman problem: Performance comparison of three algorithms

open access: yesThe Journal of Engineering, 2023
Travelling salesman problem (TSP) is one of the most famous problems in graph theory, as well as one of the typical nondeterministic polynomial time (NP)‐hard problems in combinatorial optimization. Reinforcement learning (RL) has been widely regarded as
Jiaying Wang   +3 more
doaj   +1 more source

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