tableau calculus造句

• This section presents the tableau calculus for classical propositional logic.
• A tableau calculus is a set of rules that allows building and modification of a tableau.
• If a tableau calculus is complete, every unsatisfiable set of formulae has an associated closed tableau.
• Some important properties a tableau calculus may or may not possess are completeness, destructiveness, and proof confluence.
• A tableau calculus is called complete if it allows building a tableau proof for every given unsatisfiable set of formulae.
• More specifically, a tableau calculus consists of a finite collection of rules with each rule specifying how to break down one logical connective into its constituent parts.
• Proof confluence is the property of a tableau calculus to obtain a proof for an arbitrary unsatisfiable set from an arbitrary tableau, assuming that this tableau has itself been obtained by applying the rules of the calculus.
• In other words, in a proof confluent tableau calculus, from an unsatisfiable set one can apply whatever set of rules and still obtain a tableau from which a closed one can be obtained by applying some other rules.