"Kind of Cl'Ude but it UJorks boy it UJOrksl" Alan Ner. ueH to Herb
Simon C1rl'istmas 1955 In 1954 a computer program produced what appears
to be the first computer generated mathematical proof: Written by M.
Davis at the Institute of Advanced Studies, USA, it proved a number
theoretic theorem in Presburger Arithmetic. Christmas 1955 heralded a
computer program which generated the first proofs of some propositions
of Principia Mathematica, developed by A. Newell, J. Shaw, and H. Simon
at RAND Corporation, USA. In Sweden, H. Prawitz, D. Prawitz, and N.
Voghera produced the first general program for the full first order
predicate calculus to prove mathematical theorems; their computer proofs
were obtained around 1957 and 1958, about the same time that H.
Gelernter finished a computer program to prove simple high school
geometry theorems. Since the field of computational logic (or automated
theorem proving) is emerging from the ivory tower of academic research
into real world applications, asserting also a definite place in many
university curricula, we feel the time has come to examine and evaluate
its history. The article by Martin Davis in the first of this series of
volumes traces the most influential ideas back to the 'prehistory' of
early logical thought showing how these ideas influenced the underlying
concepts of most early automatic theorem proving programs.