Proceedings G. L. of Va., 1837-1859., I. O. O. F.

Mode of access: Internet.

Journal of proceedings.

Mode of access: Internet.

The organization and proceedings of the encampment at its sessions held at Boston, March 22d,29th and April 23d,1844. Proceedings and its [annual,semi-annual and special] sessions held 1844-57.

Mode of access: Internet.

Deterministic Computations Whose History Is Independent of the Order of Asynchronous Updating

Consider a network of processors (sites) in which each site x has a finite set N(x) of neighbors. There is a transition function f that for each site x computes the next state ξ(x) from the states in N(x). But these transitions (updates) are applied in arbitrary order, one or many at a time. If the state of site x at time t is η(x; t) then let us define the sequence ζ(x; 0); ζ(x; 1), ... by taking the sequence η(x; 0),η(x; 1), ... , and deleting each repetition, i.e. each element equal to the preceding one. The function f is said to have invariant histories if the sequence ζ(x; i), (while it lasts, in case it is finite) depends only on the initial configuration, not on the order of updates. This paper shows that though the invariant history property is typically undecidable, there is a useful simple sufficient condition, called commutativity: For any configuration, for any pair x; y of neighbors, if the updating would change both ξ(x) and ξ(y) then the result of updating first x and then y is the same as the result of doing this in the reverse order. This fact is derivable from known results on the confluence of term-rewriting systems but the self-contained proof given here may be justifiable.

Proceedings : Grand Lodge, A.F. & A.M. of Canada in the Province of Ontario - 1855 & 1856

These are the annual proceedings of the Grand Lodge A.F. & A.M. of Canada in the Province of Ontario covering a single year of activity. The entire collection of proceedings cover the years 1855 to 2010. Future proceedings will be added to the website. Freemasonry is the oldest and largest worldwide fraternity dedicated to the Brotherhood of Man under the Fatherhood of a Supreme Being. In Ontario, the governing body is called the Grand Lodge of Ancient Free and Accepted Masons of Canada in the Province of Ontario. It is under the leadership of the Grand Master. He presides over the 53,000 Masons who belong to one or more of the 571 lodges in his jurisdiction.

Proceedings : Grand Lodge, A.F. & A.M. of Canada in the Province of Ontario - 1857

On spine : The Grand Lodge of Canada in the Province of Ontario.

Proceedings : Grand Lodge, A.F. & A.M. of Canada in the Province of Ontario - 1858

On spine : The Grand Lodge of Canada in the Province of Ontario.

Proceedings : Grand Lodge, A.F. & A.M. of Canada in the Province of Ontario - 1859

On spine : The Grand Lodge of Canada in the Province of Ontario.

Proceedings : Grand Lodge, A.F. & A.M. of Canada in the Province of Ontario - 1860

On spine : The Grand Lodge of Canada in the Province of Ontario.

Proceedings : Grand Lodge, A.F. & A.M. of Canada in the Province of Ontario - 1861

On spine : The Grand Lodge of Canada in the Province of Ontario.

Proceedings : Grand Lodge, A.F. & A.M. of Canada in the Province of Ontario - 1864

On spine : The Grand Lodge of Canada in the Province of Ontario.

Proceedings : Grand Lodge, A.F. & A.M. of Canada in the Province of Ontario - 1865

On spine : The Grand Lodge of Canada in the Province of Ontario.

Proceedings : Grand Lodge, A.F. & A.M. of Canada in the Province of Ontario - 1866

On spine : The Grand Lodge of Canada in the Province of Ontario.

Proceedings : Grand Lodge, A.F. & A.M. of Canada in the Province of Ontario - 1867

On spine : The Grand Lodge of Canada in the Province of Ontario.

Proceedings : Grand Lodge, A.F. & A.M. of Canada in the Province of Ontario - 1868

On spine : The Grand Lodge of Canada in the Province of Ontario.