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The resolution rule, as defined by Robinson, also incorporated factoring, which unifies two literals in the same clause, before or during the application of resolution as defined above. The resulting inference rule is refutation-complete, [ 6 ] in that a set of clauses is unsatisfiable if and only if there exists a derivation of the empty ...
The details are smeared away as the resolution becomes lower. Resolution in the context of structural biology is the ability to distinguish the presence or absence of atoms or groups of atoms in a biomolecular structure. Usually, the structure originates from methods such as X-ray crystallography, electron crystallography, or cryo-electron ...
A graphical representation of a partially built propositional tableau. In proof theory, the semantic tableau [1] (/ t æ ˈ b l oʊ, ˈ t æ b l oʊ /; plural: tableaux), also called an analytic tableau, [2] truth tree, [1] or simply tree, [2] is a decision procedure for sentential and related logics, and a proof procedure for formulae of first-order logic. [1]
According to Proteopedia, the median resolution achieved by X-ray crystallography (as of May 19, 2019) on the Protein Data Bank is 2.05 Å, [17] and the highest resolution achieved on record (as of September 30, 2022) is 0.48 Å. [22] As of 2020, the majority of the protein structures determined by cryo-EM are at a lower resolution of 3–4 Å ...
In automated theorem proving the method of resolution is based on proof by contradiction. That is, in order to show that a given statement is entailed by given hypotheses, the automated prover assumes the hypotheses and the negation of the statement, and attempts to derive a contradiction.
A (resolution) refutation of C is a resolution proof of from C. It is a common given a node η {\displaystyle \eta } , to refer to the clause η {\displaystyle \eta } or η {\displaystyle \eta } ’s clause meaning the conclusion clause of η {\displaystyle \eta } , and (sub)proof η {\displaystyle \eta } meaning the (sub)proof having η ...
The overlap defines the resolution of detectable features. For example, if the goal of an experiment is to detect the breakpoint of a translocation , then the overlap of the probes — the degree to which one DNA sequence is contained in the adjacent probes — defines the minimum window in which the breakpoint may be detected.
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: