The elegance and simplicity with which sequent calculi can be used to establish important and profound theorems for formal systems is well known. But until recently little use has been made of the powerful GENTZEN approach to explore the properties of HILBERT'S &-calculus. The recent investigations
A Gentzen-style axiomatization for basic predicate calculus
β Scribed by Mojtaba Aghaei; Mohammad Ardeshir
- Publisher
- Springer
- Year
- 2003
- Tongue
- English
- Weight
- 176 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0933-5846
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π SIMILAR VOLUMES
A Gentzen-style L-formulation of the calculus of constructions is presented and proved equivalent to a natural deduction formulation based on that of Seldin (1997). The L-rules corresponding to the conversion rules of the natural deduction system are expansion rules. Cut elimination follows from the
## Abstract In this paper we obtain a finite Hilbertβstyle axiomatization of the implicationless fragment of the intuitionistic propositional calculus. As a consequence we obtain finite axiomatizations of all structural closure operators on the algebra of {β}βformulas containing this fragment. Mat