Monoid Based Semantics for Linear Formulas
Mitchell, Bill and Simmons, Harold (2002) Monoid Based Semantics for Linear Formulas. Journal of Symbolic Logic, JSL, 67, (2), 505-527.
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Description/Abstract
Each Girard quantale (i.e. commutative quantale with a selected dualizing element) provides a support for a semantics for linear propositional formulas (but not for linear derivations). Several constructions of Girard quantales are known. We give two more constructions, one using an arbitrary partially ordered monoid and one using a partially ordered group (both commutative). In both cases the semantics can be controlled be a relation between pairs of elements of the support and formulas. This gives us a neat way of handling duality.
| Item Type: | Article |
|---|---|
| ISSNs: | 0022-4812 |
| Related URLs: | |
| Divisions: | Faculty of Physical and Applied Science > Electronics and Computer Science |
| Item ID: | 266046 |
| Date Deposited: | 03 Jul 2008 22:32 |
| Last Modified: | 02 Mar 2012 12:40 |
| Contributors: | Mitchell, Bill (Author) Simmons, Harold (Author) |
| Date: | 2002 |
| Status: | Published |
| Publisher: | Association for Symbolic Logic |
| Further Information: | Google Scholar |
| URI: | http://eprints.soton.ac.uk/id/eprint/266046 |
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