Examples of 'formal proofs' in a sentence

Meaning of "formal proofs"

formal proofs: Demonstrations or valid arguments that are presented in a structured and systematic manner to support a statement or theorem

How to use "formal proofs" in a sentence

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formal proofs
Formal proofs are expressed in some formal language.
Interactively explorable formal proofs for textbooks of mathematics.
Formal proofs are expressed in some formal languages.
Mathematical induction is an inference rule used in formal proofs.
This is an essential step to make formal proofs more accessible to mathematicians.
This method has the advantage of producing true formal proofs.
Formal proofs are constructed with the help of computers in interactive theorem proving.
Inductive approach and formal proofs.
Formal proofs tend to be very long and inhuman and hard to read.
These are not formal proofs.
The informal proofs of everyday mathematical practice are unlike the formal proofs of proof theory.
On the length of formal proofs.
The Archive of Formal Proofs also recommends the declarative style.
More precisely we want significant progress over formal proofs on cryptographic protocols.
Likewise, formal proofs occur only when warranted by exceptional circumstances.

See also

These are not true definitions and could not be used in formal proofs of statements.
Proof theory is the study of formal proofs in various logical deduction systems.
Formal proofs are sequences of well-formed formulas or wff for short.
Long-term dream is to have formal proofs of all of the central theorems.
Modern mathematics needs to be precise, because ambiguous notations do not allow formal proofs.
We also study how to reuse formal proofs when the concrete representation ofsome data changes.
Curry-Howard correspondences provide deep conceptual links between formal proofs and computational programs.
Checking formal proofs is usually simple, whereas " finding " proofs ( automated theorem proving ) is generally hard.
Thus, our approach directly benefitsfrom the existing models, tools, and formal proofs in this system.
Formal proofs = = = Formal proofs are sequences of well-formed formulas.
An implementation [that works], but no formal proofs.

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Examples of using Formal
He presides over formal sittings of his chamber
Informal consultations are held prior to formal deliberations
Employment in the formal and informal sectors
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Examples of using Proofs
There are proofs that he has connection with
But we have destroyed all the proofs
Proofs of his connection with religious extremists
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