Document Type

Report

Date

9-10-1994

Embargo Period

5-7-2012

Keywords

fluted formulas

Language

English

Disciplines

Computer Sciences

Description/Abstract

In the predicate calculus, variables provide a flexible indexing service that selects the actual arguments to a predicate letter from among possible arguments that precede the predicate letter (in the parse of the formula). In the process of selection, the possible arguments can be permuted, repeated (used more than once), and skipped. If this service is withheld, so that arguments must be the immediately preceding ones, taken in the order in which they occur, the formula is said to be fluted. Quine showed that if a fluted formula contains only homogeneous conjunction (conjoins only subformulas of equal arity), then the satisfiability of the formula is decidable. It remained an open question whether the satisfiability of a fluted formula without this restriction is decidable. This paper answers that question.

Additional Information

School of Computer and Information Science, Syracuse University, SU-CIS-94-5

Source

local

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