P. S. The sheets which you receive are those of the copying-pen of the polygraph, not of the one with which I have written.
"Memoir, Correspondence, And Miscellanies, From The Papers Of Thomas Jefferson" by Thomas Jefferson
That gadget on your arm is connected to a polygraph.
"Insidekick" by Jesse Franklin Bone
Only two abridgments remained, due to later polygraphers, Abydenus and Alexander Polybistor.
"The Contemporary Review, Volume 36, November 1879" by Various
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Polygraphers questioned accuracy of tests on detainees overseas.
The US military conducted hundreds of polygraph tests on detainees in Iraq and Afghanistan despite doubts about whether innocent civilians could be accurately separated from accused terrorists, documents obtained by McClatchy show.
Cory Booker Supports Security Guard Unions, Polygraph Expansion, Earthquake in Japan, and More.
Condit passes private polygraph, lawyer says.
No polygraph for US inmate as execution nears.
Attorney takes issue with use of heavily redacted polygraph reports.
The Pentagon, speaking as a single scary voice, says that it needs more polygraph studios.
The Pentagon, speaking as a single scary voice, says that it needs more polygraph studios.
The Truth About Lie Detectors (aka Polygraph Tests).
Most psychologists agree that there is little evidence that polygraph tests can accurately detect lies.
A Memoir of a CIA Polygraph Examiner.
Gatekeeper by John Sullivan, covers the author's 31-year career as a polygraph examiner for the CIA.
Authorities Reject Troy Davis' Polygraph Request.
Murder victim's kin takes polygraph .
Tennis ref passed polygraph .
***
Equivalence classes yield the free linearly distributive category and free star-autonomous category (linearly distributive category with negation) generated by a polygraph (e.g., by a category), for full coherence.
Simple free star-autonomous categories and full coherence
We deﬁne a notion of coﬁbration among ∞-categories and show that the coﬁbrant ob jects are exactly the free ones, that is those generated by polygraphs.
Cofibrant complexes are free
S is a polygraph, generating a free ∞-category S ∗ ; • the morphism p : S ∗ → C is a trivial ﬁbration (see 3.1).
Cofibrant complexes are free
In other words, given a polygraph S and a trivial ﬁbration p : D → C, any morphism f : S ∗ → C lifts to a morphism g : S ∗ → C (ﬁgure 1).
Cofibrant complexes are free
The purpose of the present work is to prove the converse, namely that all coﬁbrant ∞-categories are freely generated by polygraphs, thus establishing a simple, abstract characterization of the free ob jects, otherwise deﬁned by a rather complex inductive construction.
Cofibrant complexes are free
Now the same ideas carry into higher dimensions, with ∞-categories instead of monoids and polygraphs instead of generating sets.
Cofibrant complexes are free
Moreover the free complex generated by a globular set is the same as the free complex generated by the corresponding polygraph.
Cofibrant complexes are free
Likewise, in will denote a morphism of globular sets, polygraphs, or complexes according to the context.
Cofibrant complexes are free
Thus T extends to an n-polygraph and the free n−1-complex T ∗ extends to a free n-complex.
Cofibrant complexes are free
Thus we get an inclusion monomorphism of n-polygraphs ι : U → S, generating a monomorphism of n-complexes ι∗ : U ∗ → S ∗ .
Cofibrant complexes are free
Keywords: syllogism, syllogistic inference, rewriting system, rewrite rule, polygraph.
A diagrammatic calculus of n-term syllogisms
In section 4, we will point out the existing connections with the theory of rewriting systems, by approaching them through polygraphs, mainly referring to .
A diagrammatic calculus of n-term syllogisms
For every natural number n, n-polygraphs and more in general ∞-polygraphs were introduced in .
A diagrammatic calculus of n-term syllogisms
Existing connections between n-polygraphs, for n = 2, 3 in particular, and rewriting systems were pointed out in and, for example, so that later on we will feel free to extend to them the previously introduced terminology.
A diagrammatic calculus of n-term syllogisms
Now, the idea is that of looking at the calculus of n-term syllogisms as to a rewriting system, or better as to a speciﬁc 2-polygraph.
A diagrammatic calculus of n-term syllogisms
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