Sentence examples for use of proofs from inspiring English sources
The existence of a formal specification is a prerequisite for the use of proofs; but this prerequisite is not in itself sufficient.
The authors of such treatises also began the process of creating effective methods of conceiving and presenting technical work, including the use of letters to identify parts of diagrams, the use of abstract quantities marked by letters in proofs instead of actual numerical values, and the use of proofs.
This indicates a tight relation between cut-introduction and Kolmogorov complexity, and thus the use of proofs clarifies, conceptually improves and solves some limitations of the ideas of algorithmic information theory with respect to the formalization of science.
The use of proof assistants in math and computer science is becoming ever more important for managing the increasing complexity of proofs and programs.
Finally, we examine the practical use of Proof Sketches, and observe that adversaries can often be reduced to much smaller violations in practice than our worst-case bounds suggest.
It is therefore evident that another requirement - for the successful use of proof techniques in the development of systems from formal descriptions - is the availability of software tools which support the manipu lation of large bodies of formulae and help the user in the design of the proofs themselves.
Of course, it constrains the will of parties, subjects their property to the uses of proof.
Assignments involve extensive use of a proof assistant to develop and check proofs.
Finally, synthetic GIP currently remains an expensive product, which limits its use for proof-of-principle studies.
A description is given for the use of a proof checker for propositional calculus.
