Further Reading

Lakatos studies mathematical development through proofs, refutations, and concept revision [ Lakatos , 1976 ] . AM and the BACON family provide classical computational precedents for heuristic concept formation and law discovery [ Lenat , 1976 , Langley et al. , 1987 ] . AI Feynman and related symbolic-regression systems offer controlled modern benchmarks in which symmetry, separability, and composition support equation recovery [ Udrescu and Tegmark , 2020 ] . Wolfram’s cellular-automaton program motivates the use of exact microscopic rules with unexpectedly rich macroscopic behavior [ Wolfram , 2002 ] . These systems recover or explore structure; AGENTIC-MATH asks whether diagnosis, skill construction, and experiment choice compose into a persistent mathematical vocabulary. Rutten supplies DIAL-URL’s behavioral language, Sokolova organizes probabilistic system types, and metric coinduction relates behavioral semantics to contractive dynamic-programming operators [ Rutten , 2000 , Sokolova , 2011 , Kozen and Ruozzi , 2009 ] .