Results 1 to 10 of about 506 (185)

Axiomatization of Blockchain Theory

open access: yesMathematics, 2023
The increasing use of artificial intelligence algorithms, smart contracts, the internet of things, cryptocurrencies, and digital money highlights the need for secure and sustainable decentralized solutions.
Andrey Nechesov, Goncharov Sergey
exaly   +3 more sources

An axiomatization of PCTL*

open access: yesInformation and Computation, 2005
In this paper a sound and complete axiomatization for \(\text{PCTL}^*\) (computation tree logic with past operators) is given. This axiomatization is for the logic presented by \textit{F. Laroussinie} and \textit{Ph. Schnoebelen} [``Specification in \(\text{CTL}\) + past for verification in \(\text{CTL}\)'', Inf. Comput.
Mark Reynolds
exaly   +3 more sources

Shapley Mapping and Its Axiomatizations in n-Person Cooperative Interval Games

open access: yesMathematics, 2022
Interval games are an extension of cooperative coalitional games, in which players are assumed to face payoff uncertainty. Characteristic functions thus assign a closed interval, instead of a real number.
Junnosuke Shino   +2 more
doaj   +1 more source

The Cardinal Squaring Principle and an Alternative Axiomatization of NFU

open access: yesBulletin of the Section of Logic, 2023
In this paper, we rigorously prove the existence of type-level ordered pairs in Quine’s New Foundations with atoms, augmented by the axiom of infinity and the axiom of choice (NFU + Inf + AC).
Tin Adlešić, Vedran Čačić
doaj   +1 more source

The Single Axiomatization on CCRL-Fuzzy Rough Approximation Operators and Related Fuzzy Topology

open access: yesAxioms, 2022
It is well known that lattice-valued rough sets are important branches of fuzzy rough sets. The axiomatic characterization and related topology are the main research directions of lattice-valued rough sets.
Yaoliang Xu, Dandan Zou, Lingqiang Li
doaj   +1 more source

On the Axiomatizability of Impossible Futures [PDF]

open access: yesLogical Methods in Computer Science, 2015
A general method is established to derive a ground-complete axiomatization for a weak semantics from such an axiomatization for its concrete counterpart, in the context of the process algebra BCCS.
Taolue Chen   +2 more
doaj   +1 more source

Axiomatic districting [PDF]

open access: yesSocial Choice and Welfare, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Clemens Puppe, Attila Tasnádi
openaire   +7 more sources

Quantifying over Boolean announcements [PDF]

open access: yesLogical Methods in Computer Science, 2022
Various extensions of public announcement logic have been proposed with quantification over announcements. The best-known extension is called arbitrary public announcement logic, APAL.
Hans van Ditmarsch, Tim French
doaj   +1 more source

Characteristic Sequence of Strongly Minimal Directed Single Graphs of 1-Arity

open access: yesComputation, 2022
In this paper, we will classify the strongly minimal directed single graphs of 1-arity by axiomatizing the theory of characteristic sequence of such a graph. Then we will show this theory is complete by using Łos-Vaught test. Complete theory is important
Abeer M. Albalahi
doaj   +1 more source

Impure Simplicial Complexes: Complete Axiomatization [PDF]

open access: yesLogical Methods in Computer Science, 2023
Combinatorial topology is used in distributed computing to model concurrency and asynchrony. The basic structure in combinatorial topology is the simplicial complex, a collection of subsets called simplices of a set of vertices, closed under containment.
Rojo Randrianomentsoa   +2 more
doaj   +1 more source

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