Results 71 to 80 of about 5,071,272 (326)

On the complexity of Gödel's proof predicate [PDF]

open access: yesThe Journal of Symbolic Logic, 2010
AbstractThe undecidability of first-order logic implies that there is no computable bound on the length of shortest proofs of valid sentences of first-order logic. Some valid sentences can only have quite long proofs. How hard is it to prove such “hard” valid sentences?
Chen, Yijia, Flum, Jörg
openaire   +2 more sources

Teaching Complexity and Its Practical Implications in Leadership Development Programs

open access: yes, 2018
This article describes an advanced leadership seminar for senior managers and executives. The three module seminar describes how thoughtful leaders can learn to succeed even under conditions of extreme complexity. The first module describes complexity in
Hazy, James K
core   +1 more source

Engineering peptides into antibodies—opportunities and strategies for therapeutic innovation

open access: yesFEBS Letters, EarlyView.
Peptides and antibodies occupy complementary therapeutic niches. Peptides recognize difficult targets in a compact format, while antibodies add specificity, long half‐life, and effector functions. This review examines strategies that merge both modalities—peptide grafting into loops, terminal and Fc fusions, and bioconjugation—highlighting how ...
Jinling Wang   +2 more
wiley   +1 more source

On the Complexity of Optimal k-Anonymity: A New Proof Based on Graph Coloring

open access: yesIEEE Access
Privacy is a complex balancing problem between risks and utility of data. K-anonymity, a fundamental model for preserving privacy, guarantees that an item cannot be differentiated from at least k-1 other items.
Yavuz Canbay
doaj   +1 more source

Complexity of Null- and Positivstellensatz proofs

open access: yesAnnals of Pure and Applied Logic, 2001
We introduce two versions of proof systems dealing with systems of inequalities: Positivstellensatz refutations and Positivstellensatz calculus. For both systems we prove the lower bounds on degrees and lengths of derivations for the example due to Lazard, Mora and Philippon.
Dima Grigoriev, Nicolai N. Vorobjov Jr.
openaire   +4 more sources

Complexity in international society: theorising fragmentation and linkages in primary and secondary institutions

open access: yes, 2021
This article seeks to contribute to theorising the institutional structure of international society by exploring synergies between complex systems thinking and the English School theory of International Relations (IR).
Schmidt, Dennis R.
core   +1 more source

Liver organoids: modelling complexity in homeostasis and disease

open access: yesFEBS Letters, EarlyView.
Studying liver in vitro has been challenging because simple 2D cell cultures fail to capture liver's cellular and architectural complexity. To bridge this gap, scientists increasingly use organoids, 3D liver models which better mimic liver composition and function. This review examines recent advances in liver organoid complexity and realism, discusses
Anna M. Dowbaj, Meritxell Huch
wiley   +1 more source

Characterising QBF Hardness via Circuit Complexity

open access: yes, 2020
This talk will start with an overview of the relatively young field of QBF proof complexity, explaining QBF proof systems (including QBF resolution) and an assessment of which lower bound techniques are available for QBF proof systems.
Beyersdorff, Olaf
core   +1 more source

Proof Compression and NP Versus PSPACE II

open access: yesBulletin of the Section of Logic, 2020
We upgrade [3] to a complete proof of the conjecture NP = PSPACE that is known as one of the fundamental open problems in the mathematical theory of computational complexity; this proof is based on [2].
Lew Gordeev, Edward Hermann Haeusler
doaj   +1 more source

A sharp threshold in proof complexity [PDF]

open access: yesProceedings of the thirty-third annual ACM symposium on Theory of computing, 2001
We give the first example of a sharp threshold in proof complexity. More precisely, we show that for any sufficiently small e>0 and Δ>2.28, random formulas consisting of (1-e)n 2-clauses and &Dgr n 3-clauses, which are known to be unsatisfiable almost certainly, almost certainly require resolution and Davis-Putnam proofs of unsatisfiability of ...
Dimitris Achlioptas   +2 more
openaire   +2 more sources

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