Heyting algebra in a sentence
1) A locale is a "complete Heyting algebra ".
algebra collocations
2) No finite Heyting algebra has both these properties.
3) This will be the desired Heyting algebra .
Heyting algebra example sentences
4) Not all complete Heyting algebras are of this form.5) Complete Heyting algebras are a central object of study in pointless topology.
6) A subalgebra is made into a Heyting algebra by the induced operations.
7) The elementary or first-order theory of Heyting algebras is undecidable.
8) A complete Heyting algebra is a Heyting algebra that is a complete lattice.
9) Heyting algebras were introduced by to formalize intuitionistic logic.
10) Nevertheless it is decidable whether an equation holds of all Heyting algebras .
11) We do this using the axiom-like definition of Heyting algebras .
12) Let be a morphism of Heyting algebras .
13) Frames are also known as "locales" and as complete Heyting algebras .
14) A Heyting algebra that is a complete lattice is called a complete Heyting algebra.
15) A Heyting algebra that is a complete lattice is called a complete Heyting algebra .
example sentences with Heyting algebra
16) Hence Heyting algebras form a category.17) Let us denote by "H""T" the Heyting algebra so obtained.
18) Every Heyting algebra can be represented as the open elements of an interior algebra.
19) Arend Heyting would introduce Heyting algebra and Heyting arithmetic.
20) As lattices, Heyting algebras are distributive.
21) Every topology provides a complete Heyting algebra in the form of its open set lattice.
22) We call the Heyting algebra the quotient of "H" by "F".
23) In any Heyting algebra , the elements 0 and 1 are complements to each other.
24) Heyting algebras are an example of distributive lattices where some members might be lacking complements.
25) Every Heyting algebra is isomorphic to one of the form "H""T".
26) Like Boolean algebras, Heyting algebras form a variety axiomatizable with finitely many equations.
27) Every interior algebra provides a Heyting algebra in the form of its lattice of open elements.
28) Being lattices, Heyting algebras and Boolean algebras are endowed with these monoid structures.
How to use Heyting algebra in a sentence
29) The identity __FORMULA__ is true for any Heyting algebra "H" and any elements __FORMULA__.30) In both Boolean and Heyting algebra , inequality __FORMULA__ can be used in place of equality.
31) These issues are studied in pointless topology, where complete Heyting algebras are also called frames or locales.
32) The collection of all open subsets of a topological space "X" forms a complete Heyting algebra .
33) Any complemented element of a Heyting algebra is regular, though the converse is not true in general.
34) Then the facts to be verified follow immediately from the axiom-like definition of Heyting algebras given above.
35) A model theory can be given by Heyting algebras or, equivalently, by Kripke semantics.
36) Heyting algebras are always distributive.
37) It remains open whether the universal Horn theory of Heyting algebras , or word problem, is decidable.
38) Any finite Heyting algebra which is not equivalent to a Boolean algebra defines (semantically) an intermediate logic.
39) Hence no finite set of finite Heyting algebras can supply all the counterexamples to non-laws of Heyting algebra.
40) Hence no finite set of finite Heyting algebras can supply all the counterexamples to non-laws of Heyting algebra .
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