Issue No. 10 - October (1986 vol. 35)

ISSN: 0018-9340

pp: 853-861

D. Snyers , Philips Research Laboratory

ABSTRACT

This paper shows that synthesizing binary decision programs (formed by means of decision instructions of the type if then else and of execution instructions of the type do) and proving theorems can be carried out by using the same approach. It is proved that the same transformations acting on P-functions can be interpreted in terms of binary program synthesis and of theorem proving. Since binary program leads to algorithmic state machine design while theorem proving leads to declarative programming, this allows us to lay a bridge between logic design and declarative languages such as Prolog.

INDEX TERMS

switching theory, Algorithmic state machine, automatic theorem proving, declarative languages, implementation of algorithms, logic, P-functions, resolution principle

CITATION

D. Snyers, A. Thayse, "Algorithmic State Machine Design and Automatic Theorem Proving: Two Dual Approaches to the Same Activity",

*IEEE Transactions on Computers*, vol. 35, no. , pp. 853-861, October 1986, doi:10.1109/TC.1986.1676676