Perspex machine: VII. The universal perspex machine

Perspex machine: VI. A graphical user interface to the perspex machine

“…6 It is well accepted that a Turing machine's tape is a one dimensional, oriented object with distinct directions "left" and "right." 14,15 Further, in a footnote on page 249, Turing defines 14 that symbols are compact spaces.…”

“…The machine executes the perspex at a point as the instruction. This reads the perspexes at locations and , multiplies them together and writes the product, 2,6 reduced to canonical form, 2,3 into the location . It then examines the top left element, , of the product and constructs a relative jump from the current location using the components of .…”

“…A different approach to accessing the individual elements of a perspex is taken in the universal perspex machine. 6 The perspex can be a matrix with column vectors , , , and or it can be a computer instruction: ;…”

Perspex Machine X: software development

“…At each branch point it uses a jumper 5,7 to return control to the main fibre. This has the effect of pruning out an exponentially increasing number of branching fibres, thereby greatly increasing the efficiency of perspex programs as measured by the number of neurons required to implement an algorithm.…”

“…5 This compiler generates code in terms of the projective perspexinstruction that is used to prove the Turing completeness of the perspex machine; 2 but this instruction is far more difficult to use than the general-linear instruction introduced with the universal perspex machine. 7 The new compiler uses the general-linear form of the instruction. This leads to simpler code generation and, in particular, a simpler method for performing multiplication and division.…”