Four-valued logic

Noting human fallibility, he was concerned with the case where two contradictory facts were loaded into memory, and then a query was made.

Since it is the power set on {T, F}, the elements of A4 are ordered by inclusion making it a lattice with Both at the supremum and None at the infimum, and T and F on the wings.

Referring to Dana Scott, he assumes the connectives are Scott-continuous or monotonic functions.

[4] Then the subset relation in the power set on {T, F} corresponds to order ab

Excluding C, inputs A, B, and D are considered in order and the output in X expressed as a triple, for example ABD for

The asymmetric matrices differ in their action on row versus column vectors.

The row convention is used here: The remaining operations on X are expressed with matrices with three zeros, so outputs include C for a third of the inputs.

One should not confuse four-valued mathematical logic (using operators, truth tables, syllogisms, propositional calculus, theorems and so on) with communication protocols built using binary logic and displaying responses with four possible states implemented with Boolean-like type of values : for instance, the SAE J1939 standard, used for CAN data transmission in heavy road vehicles, which has four logical (Boolean) values: False, True, Error Condition, and Not installed (represented by values 0–3).

Error Condition means there is a technical problem obstructing data acquisition.

An anticipated demand for data storage in the Internet of Things (IoT) provides a motivation.

A proposal has been made for 32 nm process application using a split bit-gate: "By using CNFET technology in 32 nm node by the proposed SQI gate, two split bit-lines QSRAM architectures have been suggested to address the issue of increasing demand for storage capacity in IoT/IoVT applications.