Abstract: A processing device is provided. A cluster includes a plurality of groups of processing elements. A multi-word device is connected to the processing elements within the groups. Each processing element in a particular group is in communication with all other processing elements within the particular group, and only one of the processing elements within other groups in the cluster. Each processing element is limited to operations in which input bits can be processed and an output obtained without reference to other bits. The multi-word device is configured to cooperate with at least two other processing elements to perform processing that requires reference to other bits to obtain a result.

Abstract: An electronic processing element is disclosed for use in a system having a plurality of processing elements. The electronic processing element includes an input instruction memory, an operation unit, and an output instruction memory. The input instruction memory is configured to store and retrieve a plurality of operation codes and, for each operation code, an associated output instruction memory address. The operation unit is configured to generate an output datum defined by at least a selected operation code and an associated input datum. The output instruction memory is configured to receive the output instruction memory address and to retrieve an address for an input instruction memory of a second processing element. Upon selection of an input instruction memory address and presentation of an associated input datum, the processing element generates an output datum in association with a corresponding input instruction memory address of the second processing element.

Abstract: A programming language for representing processes as strings of symbols has a syntax delimiting places in a symbol string. A convention associates delimited places in symbol strings. An invocation construct instantiated as an invocation string. A definition construct instantiated as a definition. Completeness of input of the invocation destination list is sufficient for resolving the process defined by a definition string.