Complexity of many-valued logics
Beyond two
Automated theorem proving by resolution in non-classical logics
Annals of Mathematics and Artificial Intelligence
The Helly property and satisfiability of Boolean formulas defined on set families
European Journal of Combinatorics
An algorithm for random signed 3-SAT with intervals
Theoretical Computer Science
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Signed conjunctive normal form (signed CNF) is a classical conjunctive clause form using a generalized notion of literal, called signed atom. A signed atom is an expression of the form S: p, where p is a classical atom and S, its sign, is a subset of a domain N. The informal meaning is 驴p takes one of the values in S驴.Applications for deduction in signed logics derive from those of annotated logic programming (e.g., mediated deductive databases), constraint programming (e.g., scheduling), and many-valued logics (e.g., natural language processing). The central role of signed CNF justifies a detailed study of its subclasses, including algorithms for and complexities of associated SAT problems. In this paper we present new results on the complexity of the signed 2-SAT problem; i.e., the case in which all clauses of a signed CNF formula have at most two literals.