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reduced to a proof checker, with the user providing the proof in a formal way, or significant proof tasks can be performed automatically. Interactive...

Significantly, these proofs can be checked automatically, also by computer. Checking formal proofs is usually simple, while the problem of finding proofs (automated...

interactive and automatic modes) in the Boyer–Moore tradition. Coq – Allows the expression of mathematical assertions, mechanically checks proofs of these assertions...

trustworthiness of proofs without requiring — yet supporting — explicit proof objects. Isabelle is available inside a flexible system framework allowing...

set theory is an axiomatic treatment of set theory, used in some automatic proof systems, in which every set belongs to a Grothendieck universe. The concept...

system. Consequently, proof theory is syntactic in nature, in contrast to model theory, which is semantic in nature. Some of the major areas of proof...

the existence of a formal proof of a mathematical model of the system. Examples of mathematical objects used to model systems are: finite-state machines...

of the Toyota Production System. Poka-yoke was originally baka-yoke, but as this means "fool-proofing" (or "idiot-proofing") the name was changed to...

feedback control system obsolete. The Persian Banū Mūsā brothers, in their Book of Ingenious Devices (850 AD), described a number of automatic controls. Two-step...

Wiles's proof of Fermat's Last Theorem is a proof by British mathematician Andrew Wiles of a special case of the modularity theorem for elliptic curves...

RTC, WiFi, uSD, and RS-232. Enclosures used with automatic weather stations are typically weather proof fiberglass, ABS or stainless steel, With ABS being...

mechanically checks proofs of these assertions, helps find formal proofs, and extracts a certified program from the constructive proof of its formal specification...

lambda calculus. Converting a proof in this way is called program extraction. Hoare logic is a specific formal system for reasoning rigorously about...

is a machine that is used to clean dishware, cookware, and cutlery automatically. Unlike manual dishwashing, which relies on physical scrubbing to remove...

Automatic Dependent Surveillance–Broadcast (ADS-B) is an aviation surveillance technology and form of electronic conspicuity in which an aircraft (or...

limitations of formal systems. They were followed by Tarski's undefinability theorem on the formal undefinability of truth, Church's proof that Hilbert's Entscheidungsproblem...

In mathematics and computer algebra, automatic differentiation (auto-differentiation, autodiff, or AD), also called algorithmic differentiation, computational...

another proof assistant for classical higher order logic. Coq Developed in France, Coq is another automated proof assistant, which can automatically extract...

Russian fully automatic naval close-in weapon system based on a six-barreled 30 mm rotary cannon. It is mounted in an enclosed automatic turret and directed...

A squad automatic weapon (SAW), also known as a section automatic weapon or light support weapon (LSW), is a man-portable automatic firearm attached to...