The Inverse Method for Many-Valued Logics
Paper in proceedings, 2013

We define an automatic proof procedure for finitely many-valued logics given by truth tables. The proof procedure is based on the inverse method. To define this procedure, we introduce so-called introduction-based sequent calculi. By studying proof-theoretic properties of these calculi we derive efficient validity- and satisfiability-checking procedures based on the inverse method. We also show how to translate the validity problem for a formula to unsatisfiability checking of a set of propositional clauses.

automated reasoning

decision procedures

proof theory

theorem proving

computational logic


Laura Kovacs

Chalmers, Computer Science and Engineering (Chalmers), Software Technology (Chalmers)

Andrei Mantsivoda

Irkutskij Gosudarstvennyj Universitet

Andrei Voronkov

University of Manchester

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

03029743 (ISSN) 16113349 (eISSN)

Vol. LNCS 8265 PART 1 12-23

Areas of Advance

Information and Communication Technology

Subject Categories

Computer and Information Science

Software Engineering

Computer Science





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