Last Updated：2025/11/28
A thesis which claims the existence of an analogy or correspondence between — on the one hand — constructive mathematical proofs and programs (especially functions of a typed functional programming language), and — on the other hand — between formulae (proven by the aforementioned proofs) and types (of the aforementioned functions).
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Curry-Howard correspondence
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Source Word
Curry-Howard correspondence
Proper noun
A
thesis
which
claims
the
existence
of
an
analogy
or
correspondence
between
—
on
the
one
hand
—
constructive
mathematical
proofs
and
programs
(especially
functions
of
a
typed
functional
programming
language),
and
—
on
the
other
hand
—
between
formulae
(proven
by
the
aforementioned
proofs)
and
types
(of
the
aforementioned
functions).
Japanese Meaning
カリー・ハワード対応は、構成的数学的証明とプログラム（特に型付き関数型プログラミング言語の関数）との間、さらに証明された論理式とそのプログラムにおける型との間に対応関係が存在するという類推または主張を表す概念・定理です。
Sense（1）
A
thesis
which
claims
the
existence
of
an
analogy
or
correspondence
between
—
on
the
one
hand
—
constructive
mathematical
proofs
and
programs
(especially
functions
of
a
typed
functional
programming
language),
and
—
on
the
other
hand
—
between
formulae
(proven
by
the
aforementioned
proofs)
and
types
(of
the
aforementioned
functions).
