I n this study we reformulate GODEL'S completeness theorem such that any firstorder calculus can be tested for completeness. The theorem in this form gives simple sufficient and necessary algebraic conditions for the calculus to be complete.
On A Necessary Condition for the Validity of Goldbach's Conjecture
β Scribed by Albert A. Mullin
- Publisher
- John Wiley and Sons
- Year
- 1963
- Tongue
- English
- Weight
- 208 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
β¦ Synopsis
ON A NECESSARY CONDITION FOR THE VALIDITY OF GOLDBACH'S CONJECTURE1)
by ALBERT A. MULLIN 111 Urbana, ulinois (USA)
The aut. or dedicates ths paper to tr&e memory of ALAN MATEISON TURING on the occasion of the 50th anniversary of that mathem itician's birthday, 23 June 1912.
π SIMILAR VOLUMES
## Abstract A necessary condition for the existence of a circuit of any specified length in a connected planar graph is developed and several applications of this result are given. This necessary condition is a direct generalization of the KosyrevβGrinberg condition for the existence of a Hamiltoni
In this paper w e prove the following result. Let ml 2 m2 2 ... 2 ml be nonnegative integers. A necessary and sufficient condition for the complete graph K,, to be decomposed into stars S,,, , S