MoL-2013-15: Pico, Maurice (2013) Completeness proofs via canonical models on increasingly generalized settings. [Report]
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Abstract
In the present thesis we will expand Restall's completeness proof and
present it on a wider context. He proposes an adaption of the
completeness proof for constant domains predicate modal logic to the
wider case of a distributive setting expanded with unary modal
operators and enriched with constant domain quantification. The
overall motivation stems from the pending problem of finding a clearer
semantics for quantified relevance logics. First, unlike Restall's
paper, soundness and the truth lemma are explicitly proved, in fact
the overall proof is presented in a more clarified and structured way,
in line with classic literature on modal completeness. Moreover, a
flaw in the original proof is repaired.
| Item Type: | Report |
|---|---|
| Report Nr: | MoL-2013-15 |
| Series Name: | Master of Logic Thesis (MoL) Series |
| Year: | 2013 |
| Uncontrolled Keywords: | Logic; Mathematics |
| Date Deposited: | 12 Oct 2016 14:38 |
| Last Modified: | 12 Oct 2016 14:38 |
| URI: | https://eprints.illc.uva.nl/id/eprint/904 |
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