- algebras,
Heyting algebras form a
variety axiomatizable with
finitely many equations.
Heyting algebras were
introduced in 1930 by
Arend Heyting to formalize...
-
Arend Heyting (Dutch: [ˈaːrənt ˈɦɛitɪŋ]; 9 May 1898 – 9 July 1980) was a
Dutch mathematician and logician.
Heyting was a
student of
Luitzen Egbertus Jan...
- the
philosophy of intuitionism. It is
named after Arend Heyting, who
first proposed it.
Heyting arithmetic can be
characterized just like the first-order...
- In
mathematical logic, the Brouwer–
Heyting–Kolmogorov interpretation, or BHK interpretation, is an
explanation of the
meaning of
proof in intuitionistic...
-
especially in
order theory, a
complete Heyting algebra is a
Heyting algebra that is
complete as a lattice.
Complete Heyting algebras are the
objects of three...
- and more generally,
constructive mathematics, the
truth values form a
Heyting algebra. Such
truth values may
express various aspects of validity, including...
-
existence properties are the "hallmarks" of
constructive theories such as
Heyting arithmetic and
constructive set
theories (Rathjen 2005). The disjunction...
- the
third axiom may be
called a weak
Heyting field.
Every such
structure with
decidable equality being a
Heyting field is
equivalent to
excluded middle...
- by
Arend Heyting to
provide a
formal basis for L. E. J. Brouwer's
programme of intuitionism. From a proof-theoretic perspective,
Heyting’s calculus is...
- in
various formulations by L. E. J. Brouwer,
Arend Heyting and
Andrey Kolmogorov (see Brouwer–
Heyting–Kolmogorov interpretation) and
Stephen Kleene (see...
