Corcoran's Aristotelian syllogistic as a subsystem of first-order logic.
Andrade, Edgar J., Becerra, Edward (2007)
Revista Colombiana de Matemáticas
Similarity:
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
Andrade, Edgar J., Becerra, Edward (2007)
Revista Colombiana de Matemáticas
Similarity:
Casanovas, Enrique (2007)
Revista Colombiana de Matemáticas
Similarity:
Szabolcs Mikulás (1993)
Banach Center Publications
Similarity:
In [vB88], Johan van Benthem introduces Relational Semantics (RelSem for short), and states Soundness Theorem for Lambek Calculus (LC) w.r.t. RelSem. After doing this, he writes: "it would be very interesting to have the converse too", i.e., to have Completeness Theorem. The same question is in [vB91, p. 235]. In the following, we state Strong Completeness Theorems for different versions of LC.
Grulović, Milan Z. (2002)
Novi Sad Journal of Mathematics
Similarity:
Z. Ratajczyk (1992)
Fundamenta Mathematicae
Similarity:
We generalize to the case of arithmetical transfinite induction the following three theorems for PA: the Wainer Theorem, the Paris-Harrington Theorem, and a version of the Solovay-Ketonen Theorem. We give uniform proofs using combinatorial constructions.
Tatjana Stojanović, Ana Kaplarević-Mališić, Zoran Ognjanović (2010)
Kragujevac Journal of Mathematics
Similarity:
Vladimir Ristić (2006)
Kragujevac Journal of Mathematics
Similarity:
A. Simon (1993)
Banach Center Publications
Similarity:
Freyd, Peter (2008)
Theory and Applications of Categories [electronic only]
Similarity:
Tetruashvili, M. (1994)
Georgian Mathematical Journal
Similarity:
Antonino Salibra, Giuseppe Scollo (1993)
Banach Center Publications
Similarity:
The abstract model-theoretic concepts of compactness and Löwenheim-Skolem properties are investigated in the "softer" framework of pre-institutions [18]. Two compactness results are presented in this paper: a more informative reformulation of the compactness theorem for pre-institution transformations, and a theorem on natural equivalences with an abstract form of the first-order pre-institution. These results rely on notions of compact transformation, which are introduced as arrow-oriented...
Buzykaeva, A.N. (2002)
Sibirskij Matematicheskij Zhurnal
Similarity:
A. Kfoury (1999)
Banach Center Publications
Similarity:
We define a new unification problem, which we call β-unification and which can be used to characterize the β-strong normalization of terms in the λ-calculus. We prove the undecidability of β-unification, its connection with the system of intersection types, and several of its basic properties.
Elias Bittar (1999)
Banach Center Publications
Similarity:
We define an equivalent variant of the Gentzen sequent calculus . In weakenings or contractions can be performed in parallel. This modification allows us to interpret a symmetrical system of mix elimination rules by a finite rewriting system; the termination of this rewriting system can be machine checked. We give also a self-contained strong normalization proof by structural induction. We give another strong normalization proof by a strictly monotone subrecursive interpretation;...