Abstract | ||
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The inverse method is a saturation based theorem proving technique; it relies on a forward proof-search strategy and can be applied to cut-free calculi enjoying the subformula property. This method has been successfully applied to a variety of logics. Here we apply this method to derive the unprovability of a goal formula G in Intuitionistic Propositional Logic. To this aim we design a forward calculus FRJ(G) for Intuitionistic unprovability. From a derivation of G in FRJ(G) we can extract a Kripke countermodel for G. Since in forward methods sequents are not duplicated, the generated countermodels do not contain redundant worlds and are in general very concise. |
Year | DOI | Venue |
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2017 | 10.1007/978-3-319-66902-1_7 | Lecture Notes in Artificial Intelligence |
Field | DocType | Volume |
Automated theorem proving,Inverse method,Propositional calculus,Algorithm,Mathematics,Calculus | Conference | 10501 |
ISSN | Citations | PageRank |
0302-9743 | 0 | 0.34 |
References | Authors | |
11 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Camillo Fiorentini | 1 | 121 | 21.00 |
Mauro Ferrari | 2 | 93 | 16.05 |