The Recursive Unsolvability of the Decision Problem for the Class of Definite Formulas

Author:

Di Paola Robert A.1

Affiliation:

1. The Rand Corporation, Santa Monica, California

Abstract

A class of formulas of the first-order predicate calculus, the definite formulas has recently been proposed as the formal representation of the “reasonable” questions to put to a computer in the context of an actual data retrieval system, the Relational Data File of Levien and Maron. It is shown here that the decision problem for the class of definite formulas is recursively unsolvable. Hence there is no algorithm to decide whether a given formula is definite.

Publisher

Association for Computing Machinery (ACM)

Subject

Artificial Intelligence,Hardware and Architecture,Information Systems,Control and Systems Engineering,Software

Reference7 articles.

1. A computer system for inference execution and data retrieval

2. MARON M. E. flelatimal data file I : design philosophy. In Sehector G. (Ed.) Information ReTrievel A Crilical View Thompson Book Co. Washington D. C. 1906. MARON M. E. flelatimal data file I : design philosophy. In Sehector G. (Ed.) Information ReTrievel A Crilical View Thompson Book Co. Washington D. C. 1906.

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