In proof theory, proof nets are a geometrical method of representing proofs that
eliminates two forms of bureaucracy that differentiate proofs: (A) irrelevant syntactical features of regular proof calculi, and (B) the order of rules applied in a derivation. In this way, the formal properties of proof identity correspond more closely to the intuitively desirable properties. This distinguishes proof nets from regular proof calculi such as the natural deduction calculus and the sequent calculus, where these phenomena are present. Proof nets were introduced by Jean-Yves Girard.
As an illustration, these two linear logic proofs are identical:
sequential proof structure (i.e. something that seems to be a proofnet) is actually a concrete proof structure (i.e. something that encodes a valid derivation...
mathematician Yves Lafont in 1990 as a generalisation of the proof structures of linear logic. An interaction net system is specified by a set of agent types and a...
Proof of work (PoW) is a form of cryptographic proof in which one party (the prover) proves to others (the verifiers) that a certain amount of a specific...
A proof test is a form of stress test to demonstrate the fitness of a load-bearing or impact-experiencing structure. An individual proof test may apply...
States Mint Proof Set, commonly known as the Proof Set in the United States, is a set of proof coins sold by the United States Mint. The proof set is popular...
Model". MODELS.com. "Hannah Elizabeth Motler". Find My Past. "FUTURE PROOF". Net-a-Porter. Leaper, Caroline (18 September 2017). "The high-stakes, high-stress...
1590 Henry Lee of Ditchley expected his Greenwich armour to be "pistol proof". Its actual effectiveness was controversial at the time. During the English...
important to keep in mind that there is no such thing as an earthquake-proof structure, although seismic performance can be greatly enhanced through...
A Petri net, also known as a place/transition net (PT net), is one of several mathematical modeling languages for the description of distributed systems...
of Anarchy and has released four solo albums: The Great Divide (2005), Proof of Life (2013), The Space Between the Shadows (2019) and Higher Power (2024)...
also within individual cartridge designs. As a result, so-called "bullet-proof" panels may successfully prevent penetration by standard 7.62×39mm bullets...
market, a vendor may have undergone an application process via referral, proof of reputation from another market or given a cash deposit to the market...
Internet memes from the late 1990s and early 2000s. Version 0 is an initial proof-of-concept build that jankenpopp gave to Zombectro. It features an interactive...
Harriot proved that the stereographic projection is conformal; however, this proof was never published and sat among his papers in a box for more than three...
marketing proof sets of just the five quarters released in the given year. These sets are essentially a reduced version of the regular issue proof sets and...
35% alcohol by volume (70 proof). 100 Proof Spiced Rum – Original Captain Morgan, bottled at 50% alcohol by volume (100 proof). White Rum – A five-times...
denser nets used by the German and British navies were regarded as "torpedo-proof." In spite of fitting the major ships with anti-torpedo nets, and close...
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