The Phenomenology of Second-Level Inference: Perfumes in The Deductive Garden
We comment on certain features that second-level inference rules commonly used in mathematical proof sometimes have, sometimes lack: suppositions, indirectness, goal-simplification, goal-preservation and premise-preservation. The emphasis is on the roles
David Makinson
doaj +1 more source
Natural deduction calculus for quantified propositional linear-time temporal logic (QPTL) [PDF]
We present a natural deduction calculus for the quantified propositional linear-time temporal logic (QPTL) and prove its correctness. The system extends previous natural deduction constructions for the propositional linear-time temporal logic.
Bolotov, A., Grigoriev, O.
core
Photo‐Switchable Molecular Module Programming PET Biodegradation in Aquatic Environments
We address the plastic durability paradox by integrating an itaconic acid–derived pyrrolidone module into polymer backbones. Sunlight in water triggers Norrish Type I ring‐opening and hydrophilization, enabling rapid biodegradation into nontoxic minerals.
Mohammad Asif Ali +16 more
wiley +1 more source
Chemical Strategies for Multistimuli Responsive Dynamic Covalent Materials in Regenerative Medicine
Multistimuli responsive dynamic covalent materials integrate reversible chemistry with the complex chemical, mechanical, and biochemical cues of regenerative environments. This review highlights chemical strategies based on orthogonal dynamic bonds, multicomponent networks, and hierarchical architectures to regulate mechanics, degradation, and ...
Saurabh Joshi +2 more
wiley +1 more source
On Natural Deduction for Herbrand Constructive Logics III: The Strange Case of the Intuitionistic Logic of Constant Domains [PDF]
The logic of constant domains is intuitionistic logic extended with the so-called forall-shift axiom, a classically valid statement which implies the excluded middle over decidable formulas.
Federico Aschieri
doaj +1 more source
Probability and natural deduction
Abstract We develop a system of basic probability reasoning founded on two great logical concepts, Gentzen’s natural deduction systems and Carnap–Popper probability of sentences. Our system makes it possible to manipulate with probabilized sentences and justify their causal relationships: if probabilities of sentences $A$ and $B$ are in $
Marija Boricic Joksimovic +2 more
openaire +2 more sources
Measuring the Hall Effect in Hysteretic Materials
The authors highlight common pitfalls in measuring the Hall effect: in hysteretic magnets, improper data processing can create signals that look exotic but are not real. This Perspective explains the origin of these artifacts and presents practical measurement strategies that help researchers identify reliable Hall responses in complex magnetic ...
Jaime M. Moya +6 more
wiley +1 more source
A Speech Act Calculus. A Pragmatised Natural Deduction Calculus and its Meta-theory [PDF]
Building on the work of Peter Hinst and Geo Siegwart, we develop a pragmatised natural deduction calculus, i.e. a natural deduction calculus that incorporates illocutionary operators at the formal level, and prove its ...
Cordes, M. A. Moritz +4 more
core +1 more source
Tackling Incomplete System Specifcations Using Natural Deduction in the Paracomplete Setting [PDF]
In many modern computer applications the significanceofspecificationbasedverificationiswellaccepted.However, when we deal with such complex processes as the integration of heterogeneous systems, parts of specification may be not known.
Bolotov, A. +3 more
core +1 more source
ABSTRACT Accurately knowing the frontier orbital energies of the structurally disordered small‐molecule organic semiconductors that are used in optoelectronic devices such as organic light‐emitting diodes is required to rationally improve their performance. Here, we show that these energies can be deduced with a large accuracy from the peak energies of
Christian B. McDonald +7 more
wiley +1 more source

