Tseytin Transformation
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Tseytin Transformation
The Tseytin transformation, alternatively written Tseitin transformation, takes as input an arbitrary combinatorial logic circuit and produces an equisatisfiable boolean formula in conjunctive normal form (CNF). The length of the formula is linear in the size of the circuit. Input vectors that make the circuit output "true" are in 1-to-1 correspondence with assignments that satisfy the formula. This reduces the problem of circuit satisfiability on any circuit (including any formula) to the satisfiability problem on 3-CNF formulas. It was discovered by the Russian scientist Grigori Tseitin. Motivation The naive approach is to write the circuit as a Boolean expression, and use De Morgan's law and the distributive property to convert it to CNF. However, this can result in an exponential increase in equation size. The Tseytin transformation outputs a formula whose size grows linearly relative to the input circuit's. Approach The output equation is the constant 1 set equal to an ...
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Combinational Logic
In automata theory, combinational logic (also referred to as time-independent logic) is a type of digital logic that is implemented by Boolean circuits, where the output is a pure function of the present input only. This is in contrast to sequential logic, in which the output depends not only on the present input but also on the history of the input. In other words, sequential logic has ''memory'' while combinational logic does not. Combinational logic is used in computer circuits to perform Boolean algebra on input signals and on stored data. Practical computer circuits normally contain a mixture of combinational and sequential logic. For example, the part of an arithmetic logic unit, or ALU, that does mathematical calculations is constructed using combinational logic. Other circuits used in computers, such as half adders, full adders, half subtractors, full subtractors, multiplexers, demultiplexers, encoders and decoders are also made by using combinational logic. Prac ...
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OR ANSI
Or or OR may refer to: Arts and entertainment Film and television * "O.R.", a 1974 episode of ''M*A*S*H'' * ''Or (My Treasure)'', a 2004 movie from Israel (''Or'' means "light" in Hebrew) Music * ''Or'' (album), a 2002 album by Golden Boy with Miss Kittin * ''*O*R'', the original title of Olivia Rodrigo's album ''Sour'', 2021 * "Or", a song by Israeli singer Chen Aharoni in Kdam Eurovision 2011 * Or Records, a record label * Organized Rhyme, a Canadian hip-hop group featuring Tom Green Businesses and organizations * Or (political party) (), Israel * OR Books, an American publisher * Owasco River Railway, Auburn, New York, U.S. (by reporting mark) * TUI fly Netherlands, formerly ''Arke'', a Dutch charter airline (by IATA designator) Language and linguistics * Or (digraph), in the Uzbek alphabet * Or (letter) (or ''forfeda''), in Ogham, the Celtic tree alphabet * Odia language, a language spoken in East India (ISO 639) * Or, an English grammatical conjunction * ...
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Comb Logic Tseitin
A comb is a tool consisting of a shaft that holds a row of teeth for pulling through the hair to clean, untangle, or style it. Combs have been used since prehistoric times, having been discovered in very refined forms from settlements dating back to 5,000 years ago in Persia. Weaving combs made of whalebone dating to the middle and late Iron Age have been found on archaeological digs in Orkney and Somerset. Description Combs are made of a shaft and teeth that are placed at a perpendicular angle to the shaft. Combs can be made out of a number of materials, most commonly plastic, metal, or wood. In antiquity, horn and whalebone was sometimes used. Combs made from ivory and tortoiseshell were once common but concerns for the animals that produce them have reduced their usage. Wooden combs are largely made of boxwood, cherry wood, or other fine-grained wood. Good quality wooden combs are usually handmade and polished. Combs come in various shapes and sizes depending on what they ...
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