A Combinator-Based Superposition Calculus for Higher-Order Logic [PDF]
We present a refutationally complete superposition calculus for a version of higher-order logic based on the combinatory calculus. We also introduce a novel method of dealing with extensionality. The calculus was implemented in the Vampire theorem prover and we test its performance against other leading higher-order provers.
Bhayat A, Reger G.
europepmc +5 more sources
Superposition as a logical glue [PDF]
The typical mathematical language systematically exploits notational and logical abuses whose resolution requires not just the knowledge of domain specific notation and conventions, but not trivial skills in the given mathematical discipline.
Andrea Asperti, Enrico Tassi
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Model Completeness, Uniform Interpolants and Superposition Calculus [PDF]
AbstractUniform interpolants have been largely studied in non-classical propositional logics since the nineties; a successive research line within the automated reasoning community investigated uniform quantifier-free interpolants (sometimes referred to as “covers”) in first-order theories.
Calvanese, Diego +4 more
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A Superposition Calculus for Abductive Reasoning [PDF]
We present a modification of the superposition calculus that is meant to generate consequences of sets of first-order axioms. This approach is proven to be sound and deductive-complete in the presence of redundancy elimination rules, provided the considered consequences are built on a given finite set of ground terms, represented by constant symbols ...
Echenim, Mnacho, Peltier, Nicolas
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Analyzing Riemann-Liouville constraints in second-order Lagrangian fractional electrodynamic models. [PDF]
This study used second-order fractional derivatives to constrain singular Lagrangians to construct comprehensive Hamilton-Dirac equations. Notable contributions include resolving the difficulties associated with fractional derivatives.
Yazen M Alawaideh +2 more
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Fractional Calculus Approach to Reproduce Material Viscoelastic Behavior, including the Time-Temperature Superposition Phenomenon. [PDF]
The design of modern products and processes cannot prescind from the usage of viscoelastic materials that provide extreme design freedoms at relatively low cost. Correct and reliable modeling of these materials allows effective use that involves the design, maintenance, and monitoring phase and the possibility of reuse and recycling.
Genovese A, Farroni F, Sakhnevych A.
europepmc +4 more sources
Hilbert Space Delocalization under Random Unitary Circuits [PDF]
The unitary dynamics of a quantum system initialized in a selected basis state yield, generically, a state that is a superposition of all the basis states.
Xhek Turkeshi, Piotr Sierant
doaj +2 more sources
A Superposition-Based Calculus for Diagrammatic Reasoning [PDF]
We introduce a class of rooted graphs which are expressive enough to encode various kinds of classical or quantum circuits. We then follow a set-theoretic approach to define rewrite systems over the considered graphs. Afterwards, we tackle the problem of equational reasoning with the graphs under study and we propose a new Superposition calculus to ...
Rachid Echahed +3 more
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Applications of Distributed-Order Fractional Operators: A Review
Distributed-order fractional calculus (DOFC) is a rapidly emerging branch of the broader area of fractional calculus that has important and far-reaching applications for the modeling of complex systems. DOFC generalizes the intrinsic multiscale nature of
Wei Ding +3 more
doaj +1 more source
Exploring the magnetic field of Helmholtz and Maxwell coils: a computer-based approach exploiting the superposition principle [PDF]
Teaching magnetism is one of the most challenging topics at undergraduate level in programmes with scientific background. A basic course includes the description of the magnetic interaction along with empirical results such as the Biot-Savart law's ...
Jorge Enrique García-Farieta +1 more
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