-
synthetic data.
AlphaProof is an AI model,
which couples a pre-trained
language model with the
AlphaZero
reinforcement learning algorithm.
AlphaZero has previously...
- by
generating and
checking Lean code. In 2024,
Google DeepMind created AlphaProof which proves mathematical statements in Lean at the
level of a silver...
-
language theory and
proof theory, the Curry–Howard
correspondence is the
direct relationship between computer programs and
mathematical proofs. It is also known...
- {\displaystyle p_{i}\leq {\frac {\
alpha }{m}}} ,
thereby controlling the FWER at ≤ α {\displaystyle \leq \
alpha } .
Proof of this
control follows from Boole's...
-
precision for the
outcome including proof of
theorems have been
developed such as
AlphaTensor,
AlphaGeometry and
AlphaProof all from
Google DeepMind, Llemma...
- Cronbach's
alpha (Cronbach's α {\displaystyle \
alpha } ), also
known as tau-equivalent
reliability ( ρ T {\displaystyle \rho _{T}} ) or
coefficient alpha (coefficient...
- human-coded
rules to
generate rigorous proofs,
which makes them lack
flexibility in
unusual situations.
AlphaGeometry
combines such a
symbolic engine...
- are
several equivalent ways for
defining trigonometric functions, and the
proofs of the
trigonometric identities between them
depend on the
chosen definition...
- {Abs}}]&(1)\\3:&id:\
alpha \rightarrow \
alpha \vdash _{D}id:\
alpha \rightarrow \
alpha &[{\mathtt {Var}}]&(id:\
alpha \rightarrow \
alpha \in \left\{id:\
alpha \rightarrow...
- \{a_{\xi }\mid \xi <\
alpha \}} is nonempty, or
leaves a α {\displaystyle a_{\
alpha }}
undefined if it is. That is, a α {\displaystyle a_{\
alpha }} is
chosen from...
