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・ Proof (truth)
・ Proof and Experimental Establishment
・ Proof and Experimental Test Establishment
・ Proof assistant
・ Proof Banknote
・ Proof by assertion
・ Proof by contradiction
・ Proof by contrapositive
・ Proof by example
・ Proof by exhaustion
・ Proof by infinite descent
・ Proof by intimidation
・ Proof calculus
・ Proof coinage
・ Proof complexity
Proof compression
・ Proof discography
・ Proof game
・ Proof mass
・ Proof mining
・ Proof net
・ Proof of age inquisition
・ Proof of Age Standards Scheme
・ Proof of Bertrand's postulate
・ Proof of Citizenship of the Republic of Indonesia
・ Proof of concept
・ Proof of delivery
・ Proof of Destruction
・ Proof of Existence
・ Proof of Fermat's Last Theorem


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Proof compression : ウィキペディア英語版
Proof compression
In proof theory, an area of mathematical logic, proof compression is the problem of algorithmically compressing formal proofs. The developed algorithms can be used to improve the proofs generated by automated theorem proving tools such as sat-solvers, SMT-solvers, first-order theorem provers and proof assistants.

==Problem Representation==
In propositional logic a resolution proof of a clause \kappa from a set of clauses C is a directed acyclic graph (DAG): the input nodes are axiom inferences (without premises) whose conclusions are elements of C, the resolvent nodes are resolution inferences, and the proof has a node with conclusion \kappa.〔Fontaine, Pascal; Merz, Stephan; Woltzenlogel Paleo, Bruno. ''Compression of Propositional Resolution Proofs via Partial Regularization''. 23rd International Conference on Automated Deduction, 2011.〕
The DAG contains an edge from a node \eta_ to a node \eta_ if and only if a premise of \eta_ is the conclusion of \eta_. In this case, \eta_ is a child of \eta_, and \eta_ is a parent of \eta_. A node with no children is a root.
A proof compression algorithm will try to create a new DAG with fewer nodes that represents a valid proof of \kappa or, in some cases, a valid proof of a subset of \kappa.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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