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In logic and deductive reasoning, an argument is sound if it is both valid in form and has no false premises. [1] Soundness has a related meaning in mathematical logic, wherein a formal system of logic is sound if and only if every well-formed formula that can be proven in the system is logically valid with respect to the logical semantics of the system.
Software architecture is about making fundamental structural choices that are costly to change once implemented. Software architecture choices include specific structural options from possibilities in the design of the software. There are two fundamental laws in software architecture: [3] [4] Everything is a trade-off "Why is more important ...
Program synthesis is the process of automatically creating a program that conforms to a specification. Deductive synthesis approaches rely on a complete formal specification of the program, whereas inductive approaches infer the specification from examples.
The C4 model documents the architecture of a software system, by showing multiple points of view [5] that explain the decomposition of a system into containers and components, the relationship between these elements, and, where appropriate, the relation with its users. [3] The viewpoints are organized according to their hierarchical level: [2] [3]
Given a goal clause, represented as the negation of a problem to be solved : with selected literal , and an input definite clause: . whose positive literal (atom) unifies with the atom of the selected literal , SLD resolution derives another goal clause, in which the selected literal is replaced by the negative literals of the input clause and the unifying substitution is applied:
Semantic completeness is the converse of soundness for formal systems. A formal system is complete with respect to tautologousness or "semantically complete" when all its tautologies are theorems, whereas a formal system is "sound" when all theorems are tautologies (that is, they are semantically valid formulas: formulas that are true under every interpretation of the language of the system ...
Hoare logic (also known as Floyd–Hoare logic or Hoare rules) is a formal system with a set of logical rules for reasoning rigorously about the correctness of computer programs. It was proposed in 1969 by the British computer scientist and logician Tony Hoare , and subsequently refined by Hoare and other researchers. [ 1 ]
WF-nets have the soundness property, [24] indicating that a process with a start marking of k tokens in its source place, can reach the termination state marking with k tokens in its sink place (defined as k-sound WF-net). Additionally, all the transitions in the process could fire (i.e., for each transition there is a reachable state in which ...