When I have proved something, I must not only have a justification for my proof at my disposal as in Prawitz's notion of validity, but at the same time have to be certain that this justification fulfills its purpose.
The justification for the elimination of proof of criminal intent in such cases is ordinarily made on the grounds of expediency.
Now more or less, the justification for this, or the proof, follows by simply looking at the response to a complex exponential, using the convolution integral.
In addition to the traditional Kripke-style 'universal' reading of \ \Box F\) as F holds in all possible situations, there is now a rigorous 'existential' semantics for \ \Box F\) that can be read as there is a witness (proof, justification) for F. Justification semantics plays a similar role in Modal Logic to that played by Kleene realizability in Intuitionistic Logic.
For these, students may rightfully ask for a justification, or a proof, for why the result is true.
These two points of view the 3D histograms and the co-occurrence matrices are a first validity proof and justification for a fractal approach.
Gödel's so-called Dialectica intepretation (Gödel 1958) delivers a relative consistency proof and justification for Heyting arithmetic by means of a concrete interpretation involving a system T of computable functionals of finite type.
This study provides scientific proof and justification for further evaluation of irreversible electroporation as a promising non-thermal, non pharmacological, ultra short modality for the treatment of VSMC proliferation and the clinical problem of in-stent restenosis.
Second, the AP of multiplication may serve as a powerful tool for justification, reasoning, and proof (Carpenter et al. 2003).
For instance, s's perceptual justification for believing P8 in Moore's proof would be defeated by evidence against Q8, or evidence that Q8 and Not-Q8 are equally probable.
He also questioned the scientific proof behind a central justification for the law: that the therapy causes serious harm to minors.
