Exact(1)
Experts define the conclusions of rules as so-called half-marks in order to increase the method's flexibility.
Similar(59)
A proof that (Theta vdash { C,mathttBoolmathtt mathttBoolmathtt) holds can be given from the entailment rules given in Fig. 7, since this is the conclusion of rule ((mathtt {MP} )) with premises (Theta vdash { D,Bool, mathttBoolmathtt) and (Theta vdash { D,Bool mathttBoolmathtt Rightarrow C,mathttBoolmathtt,mathttBoolmathtt,) and these two premises can be derived by using rule ((mathtt {INST} )).
Such an approach makes it possible to automatically determine the final conclusions of inference rules.
Through assigning soundly information granularity to the related parameters of the antecedents and the conclusions of fuzzy rules of the original Sugeno-type model (i.e. granulate these parameters in the way of optimal allocation of information granularity becomes realized), the original Sugeno-type model is extended to its granular counterpart (granular model).
The initial apexes (center points) of the membership functions based on C-Means algorithm are tuned with the aid of the genetic algorithm (GA), while the tuned apexes are also used to adjust the points of the consequent polynomials (conclusions) of the rules.
Should we say that the logical framework here is Set-Fmla on the basis of what ends up being proved, or that it is Fmla, on the basis of what the premisses and conclusions of the rules involved are?
As is standard in proof theory, the way to read these rules of inference is that above the horizontal rule — are the the premises of the rule (which are equations) and the equation below the horizontal rule is the conclusion of the rule of inference.
A premise of a rule may be satisfied by the conclusion of another rule.
A work supplementing the Rules, On the Proofs of Conclusions from the Treatise of Rules for Resolving Syllogisms [De probationibus conclusionum tractatus regularum solvendi sophismata], which may not be by William himself, appears in early printed editions and manuscripts.
Hence, some conclusions of the default rule no longer apply.
The conclusion of a rule appears to the left of the implication operator ":-".
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com