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provability or
provable in Wiktionary, the free dictionary.
Provability or
provable (and
disprovability or disprovable) may
refer to:
Provability logic...
- In
number theory, a
provable prime is an
integer that has been
calculated to be
prime using a primality-proving algorithm. Boot-strapping
techniques using...
-
theorems of
mathematical logic that are
concerned with the
limits of
provability in
formal axiomatic theories.
These results,
published by Kurt Gödel...
-
Provability logic is a
modal logic, in
which the box (or "necessity")
operator is
interpreted as 'it is
provable that'. The
point is to
capture the notion...
-
Provable security refers to any type or
level of
computer security that can be proved. It is used in
different ways by
different fields. Usually, this...
- proofs,
complexity theory and
formal reduction.
These functions are
called provably secure cryptographic hash functions. To
construct these is very difficult...
- if it is
provable in PA that "if P is
provable in PA then P is true", then P is
provable in PA. If Prov(P)
means that the
formula P is
provable, we may...
- self-referential
formula that, informally, says "I am not
provable", and
prove that this
sentence is
neither provable nor
disprovable within the theory. Importantly...
- that
establishes a
correspondence between semantic truth and
syntactic provability in first-order logic. The
completeness theorem applies to any first-order...
-
areas of
proof theory include structural proof theory,
ordinal analysis,
provability logic,
reverse mathematics,
proof mining,
automated theorem proving,...
