Natural proof information

complexity theory, a natural proof is a certain kind of proof establishing that one complexity class differs from another one. While these proofs are in some sense...

proofs are written in terms of rigorous informal logic. Purely formal proofs, written fully in symbolic language without the involvement of natural language...

mathematical proofs for some properties of addition of the natural numbers: the additive identity, commutativity, and associativity. These proofs are used...

doi:10.1137/0204037. Razborov, Alexander A.; Steven Rudich (1997). "Natural proofs". Journal of Computer and System Sciences. 55 (1): 24–35. doi:10.1006/jcss...

infers that a statement involving a natural number n (that is, an integer n ≥ 0 or 1) holds for all values of n. The proof consists of two steps: The base...

In logic and proof theory, natural deduction is a kind of proof calculus in which logical reasoning is expressed by inference rules closely related to...

In mathematics, a constructive proof is a method of proof that demonstrates the existence of a mathematical object by creating or providing a method for...

Proof theory is a major branch of mathematical logic and theoretical computer science within which proofs are treated as formal mathematical objects,...

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...

In mathematics, an analytic proof is a proof of a theorem in analysis that only makes use of methods from analysis, and that does not predominantly make...

In logic, proof by contradiction is a form of proof that establishes the truth or the validity of a proposition, by showing that assuming the proposition...

distinguishes proof nets from regular proof calculi such as the natural deduction calculus and the sequent calculus, where these phenomena are present. Proof nets...

In mathematical logic, a proof calculus or a proof system is built to prove statements. A proof system includes the components: Formal language: The set...

Proof of concept (POC or PoC), also known as proof of principle, is a realization of a certain idea, method or principle in order to demonstrate its feasibility...

of (provable) statements. There are several types of proof calculi. The most popular are natural deduction, sequent calculi (i.e., Gentzen-type systems)...

Constructions. MINLOG – A proof assistant based on first-order minimal logic. Mizar – A proof assistant based on first-order logic, in a natural deduction style...

In mathematics, a proof by infinite descent, also known as Fermat's method of descent, is a particular kind of proof by contradiction used to show that...

theory of the natural numbers, which is only partially axiomatized by the Peano axioms (described below). In practice, not every proof is traced back...

Damp proofing in construction is a type of moisture control applied to building walls and floors to prevent moisture from passing into the interior spaces...

Mathematical proof Direct proof Reductio ad absurdum Proof by exhaustion Constructive proof Nonconstructive proof Tautology Consistency proof Arithmetization...

low stored energy. Common with instrumentation. Explosion proof Explosion-proof or flame-proof equipment is sealed and rugged, such that it will not ignite...

mathematics, the term combinatorial proof is often used to mean either of two types of mathematical proof: A proof by double counting. A combinatorial...

mathematics, a theorem is a statement that has been proved, or can be proved. The proof of a theorem is a logical argument that uses the inference rules of a deductive...

Proof by exhaustion, also known as proof by cases, proof by case analysis, complete induction or the brute force method, is a method of mathematical proof...