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A Deterministic Terminating Sequent Calculus for Gödel-Dummett logic

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A Deterministic Terminating Sequent Calculus for Gödel-Dummett logic
Id. 41810524
Idioma inglés
Titulo A Deterministic Terminating Sequent Calculus for Gödel-Dummett logic
Autor(es) Godel-dummett Logic
Localización http://citeseer.ist.psu.edu/375165.html
Versión 1.0
Estado Final
Descripción We give a short proof-theoretic treatment of a terminating contraction-free calculus G4-LC for the zero-order Godel-Dummett logic LC. This calculus is a slight variant of a calculus given by Avellone et al, who show its completeness by model-theoretic techniques. In our calculus, all the rules of G4-LC are invertible, thus allowing a deterministic proof-search procedure. Keywords: sequent calculus, contraction-free, terminating, Godel-Dummett logic 1 Introduction In previous work [9] the author gave a "contraction-free calculus" for zero-order intuitionistic logic IPL; following [21] we call this calculus G4ip. It has the property that root-first proof search terminates, thus allowing easy implementation without a loop-checker. See [9] for further history of this calculus, developed independently by Hudelmaier [16] and others, and with ideas from Vorob'ev's 1950 work (presented later in [22]). We now call this a "terminating" calculus to distinguish it from other "contraction-free c...
Tipo ps
Palabras clave Godel-dummett Logic A Deterministic Terminating Sequent Calculus for Gödel-Dummett logic
Tipo de Interactividad Expositivo
Nivel de Interactividad muy bajo
Audiencia Estudiante
Profesor
Autor
Estructura Atomic
Coste no
Copyright
unrestricted
Formatos ps
Requerimientos técnicos Browser: Any
Relación [IsBasedOn] http://www-theory.dcs.st-and.ac.uk/~rd/publications/IGPL-1/dyckhoff.ps
[References] oai:CiteSeerPSU:326351
[References] oai:CiteSeerPSU:365323
[References] oai:CiteSeerPSU:365323
[References] oai:CiteSeerPSU:101892
[References] oai:CiteSeerPSU:326692
Fecha de contribución 31-mar-2009
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