The conclusion of the rule.
The conclusion of the rule.
The immediate subproofs of this rule.
The immediate subproofs of this rule.
A list of lists containing the auxiliary formulas of the rule.
A list of lists containing the auxiliary formulas of the rule. The first list constains the auxiliary formulas in the first premise and so on.
A list of lists of SequentIndices denoting the auxiliary formula(s) of the rule.
A list of lists of SequentIndices denoting the auxiliary formula(s) of the rule. The first list contains the auxiliary formulas in the first premise and so on.
Operations that view the sub-proofs as a DAG, which ignore duplicate sub-proofs, see DagProof.DagLikeOps for a list.
Operations that view the sub-proofs as a DAG, which ignore duplicate sub-proofs, see DagProof.DagLikeOps for a list.
Depth of the proof, which is the maximum length of a path you can take via immediateSubProofs.
Depth of the proof, which is the maximum length of a path you can take via immediateSubProofs.
The name of this rule (in words).
The name of this rule (in words).
The list of main formulas of the rule.
The list of main formulas of the rule.
A list of SequentIndices denoting the main formula(s) of the rule.
A list of SequentIndices denoting the main formula(s) of the rule.
The name of this rule (in symbols).
The name of this rule (in symbols).
A list of occurrence connectors, one for each immediate subproof.
A list of occurrence connectors, one for each immediate subproof.
The upper sequents of the rule.
The upper sequents of the rule.
Set of all (transitive) sub-proofs including this.
Set of all (transitive) sub-proofs including this.
Operations that view the sub-proofs as a tree, see DagProof.TreeLikeOps for a list.
Operations that view the sub-proofs as a tree, see DagProof.TreeLikeOps for a list.
** Implementation of Ivy's Resolution Calculus *** Ivy has it's own variation of resolution which only resolves over identical literals but has an instantiation rule. It should be possible to display the proofs in prooftool, but a translation to robinson resolution is neccessary for many applications.