What the finitization problem is not

A. Simon

Displaying similar documents to “What the finitization problem is not”

Strong completeness of the Lambek Calculus with respect to Relational Semantics

Szabolcs Mikulás (1993)

Banach Center Publications

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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.

The Derivations of Temporal Logic Formulas

Mariusz Giero (2012)

Formalized Mathematics

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This is a preliminary article to prove the completeness theorem of an extension of basic propositional temporal logic. We base it on the proof of completeness for basic propositional temporal logic given in [12]. We introduce n-ary connectives and prove their properties. We derive temporal logic formulas.

Corcoran's Aristotelian syllogistic as a subsystem of first-order logic.

Andrade, Edgar J., Becerra, Edward (2007)

Revista Colombiana de Matemáticas

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Normal forms in partial modal logic

Jan Jaspars (1993)

Banach Center Publications

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A "partial" generalization of Fine's definition [Fin] of normal forms in normal minimal modal logic is given. This means quick access to complete axiomatizations and decidability proofs for partial modal logic [Thi].