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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.
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.
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 ...
Software engineering is a field within computer science and a branch of engineering focused on designing, developing, testing, and maintaining of software applications.It involves applying engineering principles and computer programming expertise to develop software systems that meet user needs.
The SPARK programming language provides a toolset which enables software development with formal verification and is used in several high-integrity systems. [ citation needed ] The CompCert C compiler is a formally verified C compiler implementing the majority of ISO C. [ 23 ] [ 24 ]
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 ...
Structural synthesis of programs (SSP) is a special form of (automatic) program synthesis that is based on propositional calculus.More precisely, it uses intuitionistic logic for describing the structure of a program in such a detail that the program can be automatically composed from pieces like subroutines or even computer commands.