Data di Pubblicazione:
2013
Citazione:
Semantics and proof-theory of depth-bounded Boolean logics / M. D'Agostino, M. Finger, D.M. Gabbay. - In: THEORETICAL COMPUTER SCIENCE. - ISSN 0304-3975. - 480(2013 Apr), pp. 43-68.
Abstract:
We present a unifying semantical and proof-theoretical framework for investigating depth-bounded approximations to Boolean Logic, namely approximations in which the number of nested applications of a single structural rule, representing the classical Principle of Bivalence, is bounded above by a fixed natural number. These approximations provide a hierarchy of tractable logical systems that indefinitely converge to classical propositional logic. The framework we present here brings to light a general approach to logical inference that is quite different from the standard Gentzen-style approaches, while preserving some of their nice proof-theoretical properties, and is common to several proof systems and algorithms, such as KE, KI and Stålmarck’s method.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Boolean logic; tractability; natural deduction; automated deduction
Elenco autori:
M. D'Agostino, M. Finger, D.M. Gabbay
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