De Bruijn Factor .
De Bruijn computed it as the size of the formal proof over the size of the informal proof.
Freek Wiedijk refined the definition to use the compressed size of the formal proof over the compressed size of the informal proof. He called this the "intrinsic de Bruijin Factor". The compression removes the effect that the length of identifiers in the proofs might have.
The de Bruijn Factor is a measure of how much harder it is to write a formal mathematical proof instead of an informal one. It was created by the Dutch computer-proof pioneer Nicolaas Govert de Bruijn Nicolaas Govert (Dick) de Bruijn (; 9 July 1918 – 17 February 2012) was a Dutch mathematician, noted for his many contributions in the fields of analysis, number theory, combinatorics and logic. References {{reflist[...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Formal Proof
In logic and mathematics, a formal proof or derivation is a finite sequence of sentences (called well-formed formulas in the case of a formal language), each of which is an axiom, an assumption, or follows from the preceding sentences in the sequence by a rule of inference. It differs from a natural language argument in that it is rigorous, unambiguous and mechanically verifiable. If the set of assumptions is empty, then the last sentence in a formal proof is called a theorem of the formal system. The notion of theorem is not in general effective, therefore there may be no method by which we can always find a proof of a given sentence or determine that none exists. The concepts of Fitch-style proof, sequent calculus and natural deduction are generalizations of the concept of proof. The theorem is a syntactic consequence of all the well-formed formulas preceding it in the proof. For a well-formed formula to qualify as part of a proof, it must be the result of applying a rule of th ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Mathematical Proof
A mathematical proof is an inferential argument for a mathematical statement, showing that the stated assumptions logically guarantee the conclusion. The argument may use other previously established statements, such as theorems; but every proof can, in principle, be constructed using only certain basic or original assumptions known as axioms, along with the accepted rules of inference. Proofs are examples of exhaustive deductive reasoning which establish logical certainty, to be distinguished from empirical arguments or non-exhaustive inductive reasoning which establish "reasonable expectation". Presenting many cases in which the statement holds is not enough for a proof, which must demonstrate that the statement is true in ''all'' possible cases. A proposition that has not been proved but is believed to be true is known as a conjecture, or a hypothesis if frequently used as an assumption for further mathematical work. Proofs employ logic expressed in mathematical symbols ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Nicolaas Govert De Bruijn
Nicolaas Govert (Dick) de Bruijn (; 9 July 1918 – 17 February 2012) was a Dutch mathematician, noted for his many contributions in the fields of analysis, number theory, combinatorics and logic.Nicolaas Govert de Bruijn's obituary 2012 Biography De Bruijn was born in where he attended elementary school between 1924 and 1930 and secondary school until 1934. He started studies in mathematics at in 1936 but his studies were interrupted by the outbreak of[...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Freek Wiedijk
Freek or Freeks may refer to: Music * ''Freek'' (album), a 1994 album by Keller Williams * "Freek", a 2017 single by Tom Budin * Freek FM, a pirate radio station that broadcasts UK garage * Freek, a UAE-based Somali rapper Other uses * Freek (given name), a male given name * Freek, a character from ''Gamer'' * ''Freeks'', a 2017 novel by Amanda Hocking * Freek, an energy drink from National Beverage * FREEK, an energy drink label of Rip It * Freek, a South African rugby player See also * Freak (other) * ''Freeek!'', a 2002 song by George Michael * Freq (other) * Phreaking Phreaking is a slang term coined to describe the activity of a culture of people who study, experiment with, or explore telecommunication systems, such as equipment and systems connected to public telephone networks. The term ''phreak'' is a ... * Phreek * * {{disambiguation ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |