## Sequent

In proof theory, a **sequent** is a formalized statement of provability that is frequently used when specifying calculi for deduction. In the sequent calculus, the name *sequent* is used for the construct which can be regarded as a specific kind of judgment, characteristic to this deduction system.

Read more about Sequent.

### Some articles on sequent:

Ke Y - Deduction Component

... At the heart of the KeY system lies a first-order theorem prover based on a

... At the heart of the KeY system lies a first-order theorem prover based on a

**sequent**calculus ... A**sequent**is of the form where (assumptions) and (propositions) are sets of formulas with the intuitive meaning that holds true ... By means of deduction, an initial**sequent**representing the proof obligation is shown to be constructible from just fundamental first-order axioms (such as equality ) ...**Sequent**- History

... Historically,

**sequents**have been introduced by Gerhard Gentzen in order to specify his famous

**sequent**calculus ... The term "

**sequent**" then has been created in search for an alternative translation of the German expression ... This article incorporates material from

**Sequent**on PlanetMath, which is licensed under the Creative Commons Attribution/Share-Alike License ...

**Sequent**(MUD)

...

**Sequent**was a DikuMUD based MUD running on a

**Sequent**multiprocessor machine at

**sequent**.berkeley.edu ... Raja Kushalnagar ("Duke of

**Sequent**") created

**Sequent**from the original DikuMud codebase starting in January 1991 at the University of California, Berkeley ... Notable MUDs running on the

**Sequent**codebase include Sojourn and its successor, TorilMUD ...

**Sequent**Computer Systems

...

**Sequent**Computer Systems, or

**Sequent**, was a computer company that designed and manufactured multiprocessing computer systems ... Through a partnership with Oracle Corporation,

**Sequent**became a dominant high-end UNIX platform in the late 1980s and early 1990s ... and Intel shifted their server focus to the Itanium processor family,

**Sequent**joined the Project Monterey effort in October 1998 ...

Common Structural Rules

... Weakening, where the hypotheses or conclusion of a

... Weakening, where the hypotheses or conclusion of a

**sequent**may be extended with additional members ... two equal (or unifiable) members on the same side of a**sequent**may be replaced by a single member (or common instance) ... Exchange, where two members on the same side of a**sequent**may be swapped ...### More definitions of "sequent":

- (
*adj*): In regular succession without gaps.

Synonyms: consecutive, sequential, serial, successive

### Famous quotes containing the word sequent:

“Nor *sequent* centuries could hit

Orbit and sum of SHAKSPEARE’s wit.

The men who lived with him became

Poets, for the air was fame.”

—Ralph Waldo Emerson (1803–1882)

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