Sequentiality by Linear Implication and Universal Quantification

1995 ◽  
pp. 160-174 ◽  
Author(s):  
Alessio Guglielmi
Keyword(s):  
Universal Quantification

scholarly journals Enhanced Universal Quantification of Biomolecules Using Element MS and Generic Standards: Application to Intact Protein and Phosphoprotein Determination

2018 ◽  
Vol 91 (1) ◽  
pp. 1105-1112 ◽  
Author(s):  
Francisco Calderón-Celis ◽  
Naoki Sugiyama ◽  
Michiko Yamanaka ◽  
Tetsushi Sakai ◽  
Silvia Diez-Fernández ◽  
...  
Keyword(s):  
Intact Protein ◽  
Universal Quantification

scholarly journals On Quantifying Literals in Boolean Logic and its Applications to Explainable AI

2021 ◽  
Vol 72 ◽  
pp. 285-328
Author(s):  
Adnan Darwiche ◽  
Pierre Marquis
Keyword(s):  
Boolean Logic ◽  
Fine Grained ◽  
Explainable Ai ◽  
Boolean Formulas ◽  
Universal Quantification ◽  
Existential Quantification

Quantified Boolean logic results from adding operators to Boolean logic for existentially and universally quantifying variables. This extends the reach of Boolean logic by enabling a variety of applications that have been explored over the decades. The existential quantification of literals (variable states) and its applications have also been studied in the literature. In this paper, we complement this by introducing and studying universal literal quantification and its applications, particularly to explainable AI. We also provide a novel semantics for quantification, discuss the interplay between variable/literal and existential/universal quantification, and identify some classes of Boolean formulas and circuits on which quantification can be done efficiently. Literal quantification is more fine-grained than variable quantification as the latter can be defined in terms of the former, leading to a refinement of quantified Boolean logic with literal quantification as its primitive.

A universal quantification of transgenic soybean event DAS ‐68416‐4 using duplex digital PCR

2020 ◽  
Vol 101 (2) ◽  
pp. 624-630 ◽  
Author(s):  
Jin Liu ◽  
Zhi‐yong Li ◽  
Jie Dong ◽  
Dong‐wei Gao
Keyword(s):  
Digital Pcr ◽  
Transgenic Soybean ◽  
Universal Quantification

scholarly journals The landscape of universal quantification in Old Hungarian

2015 ◽  
Vol 62 (3) ◽  
pp. 223-261 ◽  
Author(s):  
Ágnes Bende-Farkas
Keyword(s):  
Universal Quantification

scholarly journals Decidability of Definability

2013 ◽  
Vol 78 (4) ◽  
pp. 1036-1054 ◽  
Author(s):  
Manuel Bodirsky ◽  
Michael Pinsker ◽  
Todor Tsankov
Keyword(s):  
Random Graph ◽  
Topological Dynamics ◽  
Homogeneous Structure ◽  
First Order ◽  
Computational Problem ◽  
Random Tournament ◽  
Universal Quantification ◽  
Countably Infinite ◽  
Existential Quantification

AbstractFor a fixed countably infinite structure Γ with finite relational signature τ, we study the following computational problem: input are quantifier-free τ-formulas ϕ0, ϕ1, …, ϕn that define relations R0, R1, …, Rn over Γ. The question is whether the relation R0 is primitive positive definable from R1, …, Rn, i.e., definable by a first-order formula that uses only relation symbols for R1, …, Rn, equality, conjunctions, and existential quantification (disjunction, negation, and universal quantification are forbidden).We show decidability of this problem for all structures Γ that have a first-order definition in an ordered homogeneous structure Δ with a finite relational signature whose age is a Ramsey class and determined by finitely many forbidden substructures. Examples of structures Γ with this property are the order of the rationals, the random graph, the homogeneous universal poset, the random tournament, all homogeneous universal C-relations, and many more. We also obtain decidability of the problem when we replace primitive positive definability by existential positive, or existential definability. Our proof makes use of universal algebraic and model theoretic concepts, Ramsey theory, and a recent characterization of Ramsey classes in topological dynamics.

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