Abstract
This work furnishes mathematical apparatus for theoretical foundations of multisets as used in Algebraic, Modal and Temporal Logics. It establishes a sufficiently generalized concept of mappings on multisets, thus resolving a long-standing obstacle in the structural study of multiset processing. It has been shown that the mapping defined herein is applicable to a vast array of already defined rewriting problems within the domain of Theoretical Computer Science. Specifically, this paper unifies and generalizes the works of Parikh in Dassow (2000), Hickman (1980), Khomenko (2003) and Nazmul et al. (2013).
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Acknowledgements
The authors at King Saud University extend their appreciation to the Deanship of Scientific Research at King Saud University for funding this work through research group no. RG-1441-439
Funding
Three authors from King Saud University received funding for this work from Deanship of Scientific Research at King Saud University through research grant no. RG-1441-439
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Kharal, A., Alshehri, M.H., Turki, N.B. et al. Generalized mapping for multiset rewriting systems. Soft Comput 25, 11439–11448 (2021). https://doi.org/10.1007/s00500-021-06029-0
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DOI: https://doi.org/10.1007/s00500-021-06029-0