Sentence examples for proof interpretation from inspiring English sources

This is a clear instance of the clause for implication in the Proof Interpretation.

In future updates of this entry, the following topics will be added: (a) precursors to Brouwer, (b) early objections to the Proof Interpretation, and (c) later developments around the Proof Interpretation.

Section 5.3 below is the appropriate place to explain our preference for "Proof Interpretation" over "BHK-Interpretation".

In particular, the Löb Principle (5) is not valid for the proof interpretation (cf. (Goris 2007) for a full account of which principles of \(\mathsf{GL}\) are realizable).

For this reason, "Proof Interpretation" seems to be a more appropriate name for an explanation of Brouwerian logic than "BHK Interpretation".

The emphasis is on (the history of) Brouwer's explanation of logic within the framework of intuitionistic mathematics, and on (the history of) its codification in Heyting's Proof Interpretation.

This applied approach is based on logical transformations (so-called proof interpretations) and concerns the extraction of effective data (such as bounds) from prima facie ineffective proofs as well as new qualitative results such as independence of solutions from certain parameters, generalizations of proofs by elimination of premises.

All co-authors contributed to data analysis, interpretation, proof reading and addressing reviewer comments.

BL and SR assisted in the interpretation, preparation, and proof reading of the manuscript.

KK assisted in the HRTEM interpretation, preparation and proof reading of the manuscript.

NT and VSh assisted in the interpretation, preparation, and proof reading of the manuscript.