TY - UNPB
T1 - Meta-level inference in Algebra
AU - Bundy,Alan
AU - Sterling,L.
PY - 1981
Y1 - 1981
N2 - We describe two uses of meta-level inference: to control the search for a proof; and to derive new control information, and illustrate them in the domain of algebraic equation solving. The derivation of control information is the main focus of the paper. It involves the proving of theorems in the Meta-Theory of Algebra. These proofs are guided by meta-meta-level inference. We are developing a meta-meta-language to describe formulae, and proof plans, and have built a program, IMPRESS, which uses these plans to build a proof. IMPRESS will form part of a self improving algebra system.
AB - We describe two uses of meta-level inference: to control the search for a proof; and to derive new control information, and illustrate them in the domain of algebraic equation solving. The derivation of control information is the main focus of the paper. It involves the proving of theorems in the Meta-Theory of Algebra. These proofs are guided by meta-meta-level inference. We are developing a meta-meta-language to describe formulae, and proof plans, and have built a program, IMPRESS, which uses these plans to build a proof. IMPRESS will form part of a self improving algebra system.
M3 - Working paper
T3 - DAI Research Paper 164
BT - Meta-level inference in Algebra
ER -