scholarly journals The Challenges of Evaluating a New Feature in Vampire

10.29007/1ffk ◽  
2018 ◽  
Author(s):  
Giles Reger ◽  
Martin Suda ◽  
Andrei Voronkov
Keyword(s):  
Experimental Results ◽  
New Method ◽  
Smt Solver ◽  
First Order ◽  
Theorem Provers ◽  
New Feature ◽  
Superposition Theorem

This paper presents and explores experimental results examining the usage of AVATAR (Advanced Vampire Architecture for Theories and Resolution). This architecture introduces a new method for splitting in first-order resolution and superposition theorem provers that makes use of a SAT (or SMT) solver to make splitting decisions. The architecture (as implemented in Vampire) has many options and components that can be varied and this paper explores the effects of these variations on the performance of the prover.

scholarly journals Local proofs and AVATAR

10.29007/qgdk ◽  
2018 ◽  
Author(s):  
Giles Reger ◽  
Martin Suda
Keyword(s):  
Experimental Results ◽  
Theorem Prover ◽  
First Order ◽  
Theorem Provers

With first-order interpolation as the application in mind, we study the problem of gen- erating local proofs in theorem provers employing the AVATAR architecture. The theory is complemented by experimental results based on our implementation of the techniques in theorem prover Vampire.

scholarly journals Evaluating Automated Theorem Provers Using Adimen-SUMO

10.29007/hplh ◽  
2018 ◽  
Author(s):  
Javier Álvez ◽  
Paqui Lucio ◽  
German Rigau
Keyword(s):  
Order Logic ◽  
Experimental Results ◽  
First Order Logic ◽  
First Order ◽  
Theorem Provers ◽  
Small Set

We report on the results of evaluating the performance automated theorem provers using \ADIMENSUMO{}. The evaluation follows the adaptation of the methodology based on competency questions \cite{GrF95} to the framework of first-order logic, which is presented in \cite{ALR15}, and is applied to \ADIMENSUMO{} \cite{ALR12}. The set of competency questions used for this evaluation has been semi-automatically generated from a small set of semantic patterns and the mapping of \WORDNET{} to \SUMO{}, also introduced in \cite{ALR15}. Our experimental results demonstrate that improved versions of the proposed set of competency questions could be really valuable for the development of automated theorem provers.

scholarly journals Global Subsumption Revisited (Briefly)

10.29007/qcd7 ◽  
2018 ◽  
Author(s):  
Giles Reger ◽  
Martin Suda
Keyword(s):  
Initial Problem ◽  
Theorem Prover ◽  
General Idea ◽  
Practical Implementation ◽  
Global Approach ◽  
Smt Solver ◽  
First Order ◽  
Theorem Provers ◽  
Sat Solver

Global subsumption is an existing simplification technique for saturation-based first-order theorem provers. The general idea is that we can replace a clause C by its subclause D if D follows from the initial problem as D will subsume C. The effectiveness of the technique comes from a cheap, global approach for (incompletely) checking whether D is a consequence of the initial problem. The idea is to produce and maintain a set S of ground clauses that follow from the input (e.g. grounded versions of all derived clauses) and to check whether a grounding of D follows from this set. As this is now a propositional problem this check can be performed by a SAT solver, making it efficient. In this paper we review the global subsumption technique and pose a number of questions related to the practical implementation of global subsumption and possible variations of the approach. We consider, for example, which groundings to place in S, how to select the subclause(s) D to check, how to integrate this technique with the AVATAR approach and whether it makes sense to replace the SAT solver with an SMT solver. This discussion takes place within the context of the Vampire theorem prover.

Interfacial mass transfer in turbulent flow accompanied by irreversible first order chemical reaction

1979 ◽  
Vol 44 (5) ◽  
pp. 1388-1396
Author(s):  
Václav Kolář ◽  
Zdeněk Brož
Keyword(s):  
Mass Transfer ◽  
Turbulent Flow ◽  
Chemical Reaction ◽  
Experimental Results ◽  
Theoretical Concepts ◽  
First Order ◽  
Order Chemical Reaction ◽  
Interfacial Mass Transfer ◽  
First Order Chemical Reaction

Relations describing the mass transfer accompanied by an irreversible first order chemical reaction are derived, based on the formerly published general theoretical concepts of interfacial mass transfer. These relations are compared with experimental results taken from literature.

A new method for monitoring the redox potential of fuel salt based on the deposition of 95Nb on Hastelloy C276

2021 ◽  
Vol 109 (5) ◽  
pp. 357-365
Author(s):  
Zhiqiang Cheng ◽  
Zhongqi Zhao ◽  
Junxia Geng ◽  
Xiaohe Wang ◽  
Jifeng Hu ◽  
...  
Keyword(s):  
Redox Potential ◽  
Molten Salt ◽  
Specific Activity ◽  
Chemical Reduction ◽  
Quantitative Approach ◽  
Experimental Results ◽  
New Method ◽  
Molten Salt Reactor ◽  
Fuel Salt ◽  
Well Correlation

Abstract To develop the application of 95Nb as an indicator of redox potential for fuel salt in molten salt reactor (MSR), the specific activity of 95Nb in FLiBe salt and its deposition of 95Nb on Hastelloy C276 have been studied. Experimental results indicated that the amount of 95Nb deposited on Hastelloy C276 resulted from its chemical reduction exhibited a positive correlation with the decrease of 95Nb activity in FLiBe salt and the relative deposition coefficient of 95Nb to 103Ru appeared a well correlation with 95Nb activity in FLiBe salt. Both correlations implied that the measurement of 95Nb activity deposited on Hastelloy C276 specimen might provide a quantitative approach for monitoring the redox potential of fuel salt in MSR.

scholarly journals A Novel Concept Acquisition Approach Based on Formal Contexts

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Ting Qian ◽  
Ling Wei
Keyword(s):  
Data Analysis ◽  
Formal Concept Analysis ◽  
Real Life ◽  
Experimental Results ◽  
New Method ◽  
Concept Acquisition ◽  
Formal Concept ◽  
Knowledge Processing ◽  
Formal Concepts ◽  
Novel Concept

As an important tool for data analysis and knowledge processing, formal concept analysis (FCA) has been applied to many fields. In this paper, we introduce a new method to find all formal concepts based on formal contexts. The amount of intents calculation is reduced by the method. And the corresponding algorithm of our approach is proposed. The main theorems and the corresponding algorithm are examined by examples, respectively. At last, several real-life databases are analyzed to demonstrate the application of the proposed approach. Experimental results show that the proposed approach is simple and effective.

A modified Runge-Kutta method

SIMULATION ◽  
1968 ◽  
Vol 10 (5) ◽  
pp. 221-223 ◽  
Author(s):  
A.S. Chai
Keyword(s):  
Error Estimate ◽  
Linear Combination ◽  
Experimental Results ◽  
The Other ◽  
New Method ◽  
Kutta Method ◽  
Starting Values ◽  
Runge Kutta Method ◽  
Runge Kutta ◽  
A Minor

It is possible to replace k2 in a 4th-order Runge-Kutta for mula (also Nth-order 3 ≤ N ≤ 5) by a linear combination of k1 and the ki's in the last step, using the same procedure for computing the other ki's and y as in the standard R-K method. The advantages of the new method are: It re quires one less derivative evaluation, provides an error estimate at each step, gives more accurate results, and needs a minor change to switch to the RK to obtain the starting values. Experimental results are shown in verification of the for mula.

New method for first-order network design applied to TLS self-calibration networks

2021 ◽  
Vol 177 ◽  
pp. 306-318
Author(s):  
Derek D. Lichti ◽  
Kate Pexman ◽  
Wynand Tredoux
Keyword(s):  
Network Design ◽  
New Method ◽  
First Order ◽  
Self Calibration

A Percolation Equation for Modeling Experimental Results for Continuum Percolation Systems

2001 ◽  
Vol 699 ◽  
Author(s):  
D.S. McLachlan ◽  
C. Chiteme ◽  
W.D. Heiss ◽  
Junjie Wu
Keyword(s):  
Experimental Data ◽  
Ac Conductivity ◽  
Volume Fraction ◽  
Power Laws ◽  
Second Order ◽  
Experimental Results ◽  
Analytical Equation ◽  
Scaling Properties ◽  
First Order ◽  
Dc And Ac Conductivity

AbstractThe standard percolation equations or power laws, for dc and ac conductivity (dielectric constant) are based on scaling ansatz, and predict the behaviour of the first and second order terms, above and below the percolation or critical volume fraction (øc), and in the crossoverregion. Recent experimental results on ac conductivity are presented, which show that these equations, with the exception of real σm above øc and the first order terms in the crossover region, are only valid in the limit σi/σc = 0, where for an ideal dielectric σi=ωε0εr.A single analytical equation, which has the same parameters as the standard percolation equations, and which, for ac conductivity, reduces to the standard percolation power laws in the limit σi(ωε0εr)/σc = 0 for all but one case, is presented. The exception is the expression for real σm below øc, where the standard power law is always incorrect. The equation is then shown to quantitatively fit both first and second order dc and ac experimental data over the entire frequency and composition range. This phenomenological equation is also continuous, has the scaling properties required at a second order metal-insulator and fits scaled first order dc and ac experimental data. Unfortunately, the s and t exponents that are necessary to fit the data to the above analytical equation are usually not the simple dimensionally determined universal ones and depend on a number of factors.

Cutting Speed of Electric Discharge Machining for SiC Ingot

2012 ◽  
Vol 717-720 ◽  
pp. 861-864 ◽  
Author(s):  
Hideki Yamada ◽  
Satarou Yamaguchi ◽  
Norimasa Yamamoto ◽  
Tomohisa Kato
Keyword(s):  
Silicon Carbide ◽  
Electric Discharge ◽  
Cutting Speed ◽  
Experimental Results ◽  
New Method ◽  
Electric Discharge Machining ◽  
Hard Materials ◽  
Diameter Ingot ◽  
Diamond Saw

A new method based on electric discharge machining (EDM) was developed for cutting a silicon carbide (SiC) ingot. The EDM method is a very useful technique to cut hard materials like SiC. By cutting with the EDM method, kerf loss and roughness of sample are generally smaller than those obtained by cutting with a diamond saw. Moreover, the warpage is smaller than that by the diamond saw cutting, and the cutting speed can be 10 times faster than that of the diamond saw at the present time. We used wires of 50 mm and 100 mm diameters in the experiments, and the experimental results of the cutting speed and the kerf losses are presented. The kerf loss of the 50 mm wire is less than 100 mm, and the cutting speed is about 0.8 mm/min for the thickness of a 6 mm SiC ingot. If we can maintain the cutting speed, the slicing time of a 2 inches diameter ingot would be about seven hours.

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