Hyper Natural Deduction for Gödel Logic—A natural deduction system for parallel reasoning
- Submitting institution
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Swansea University / Prifysgol Abertawe
- Unit of assessment
- 11 - Computer Science and Informatics
- Output identifier
- 40432
- Type
- D - Journal article
- DOI
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10.1093/logcom/exy019
- Title of journal
- Journal of Logic and Computation
- Article number
- -
- First page
- 1125
- Volume
- 28
- Issue
- 6
- ISSN
- 0955-792X
- Open access status
- Compliant
- Month of publication
- July
- Year of publication
- 2018
- URL
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- Supplementary information
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- Request cross-referral to
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- Output has been delayed by COVID-19
- No
- COVID-19 affected output statement
- -
- Forensic science
- No
- Criminology
- No
- Interdisciplinary
- No
- Number of additional authors
-
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- Research group(s)
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- Citation count
- 1
- Proposed double-weighted
- No
- Reserve for an output with double weighting
- No
- Additional information
- The seminal Curry-Howard correspondence relating sequential logical consequence with lambda-calculus computation led to the invention of functional programming languages. A 25 year old conjecture by Avron asks for a similar connection between parallel logical consequence and parallel computation. This paper invents a new logical calculus to reason about communicating processes, combining natural deduction and process algebra as a key step to establish a Curry-Howard correspondence for parallel logical consequence. Results picked up by leading researchers, e.g.: Aschieri et.al.: Gödel Logic: from Natural Deduction to Parallel Computation, LICS 2017, 1-12.
- Author contribution statement
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- Non-English
- No
- English abstract
- -