Titlebook: Automated Reasoning with Analytic Tableaux and Related Methods; 18th International C Martin Giese,Arild Waaler Conference proceedings 2009

嘴唇可修剪

Modular Sequent Systems for Modal Logic,natural generalisation of hypersequents. Nested sequents stay inside the modal language, as opposed to both the display calculus and labelled sequents. The completeness proof is via syntactic cut elimination.

d-limonene

被告

Microaneurysm

A Schemata Calculus for Propositional Logic,ified in propositional logic. Although the satisfiability problem is undecidable for unrestricted schemata, we identify a class of them for which . always terminates. An example shows evidence that the approach is applicable to non-trivial practical problems. We give some precise technical hints to pursue the present work.

公式

Decidability for Priorean Linear Time Using a Fixed-Point Labelled Calculus, no branch leads to a ‘fulfilling sequent,’ the syntactical counterpart of a countermodel for an invalid sequent. Decidability is proved through a terminating proof search procedure, with an exponential bound to the branches of derivation trees for valid sequents, calculated on the length of the characteristic temporal formula of the endsequent.

斜

Abduction and Consequence Generation in a Support System for the Design of Logical Multiple-Choice abduction and consequence generation) that can be useful both to complete the item stem, and to generate plausible distractors (incorrect options). The provably correct and complete algorithm used to perform abduction and consequence generation finds out minimal solutions with no need to compare each of them with all the others.

Commentary

洁净

Scleroderma

A Tableau-Based System for Spatial Reasoning about Directional Relations,ures two modalities, respectively an east modality and a north modality, to deal with non-empty rectangles over ℕ ×ℕ. We first show the NEXPTIME-completeness of WSpPNL, then we develop an optimal tableau method for it.

清真寺

A Tableau System for the Modal ,-Calculus,theory. Since every tableau in the system is a finite tree structure (bounded by the size of the initial formula), this leads to a decision procedure for satisfiability and a small model property. The key features are the use of names to keep track of the unfolding of variables and the notion of name signatures used in the completeness proof.