Semantics Out of Context : Nominal Absolute Denotations for First-Order Logic and Computation
- Submitting institution
-
Heriot-Watt University
- Unit of assessment
- 11 - Computer Science and Informatics
- Output identifier
- 15398993
- Type
- D - Journal article
- DOI
-
10.1145/2700819
- Title of journal
- Journal of the ACM
- Article number
- 25
- First page
- -
- Volume
- 63
- Issue
- 3
- ISSN
- 1535-9921
- Open access status
- Out of scope for open access requirements
- Month of publication
- June
- Year of publication
- 2016
- URL
-
-
- Supplementary information
-
-
- Request cross-referral to
- -
- Output has been delayed by COVID-19
- No
- COVID-19 affected output statement
- -
- Forensic science
- No
- Criminology
- No
- Interdisciplinary
- No
- Number of additional authors
-
0
- Research group(s)
-
-
- Citation count
- 2
- Proposed double-weighted
- No
- Reserve for an output with double weighting
- No
- Additional information
- Exhibits a new semantics for first-order logic in which variables map to fixed entities in the denotation. The fact that such semantics exists suggests a new way of looking at variables and the foundations of logic and computation, for which this paper presents a complete and coherent development: a roadmap for a future mathematics in which finite predicates (even ones with variables and quantifiers) are denoted by finite denotations, in a way which is made computationally meaningful e.g. by the fields of nominal automata and nominal rewriting.
- Author contribution statement
- -
- Non-English
- No
- English abstract
- -
